├── HF Data.ipynb ├── Hawkes Processes.ipynb └── Limit Order Books Simulator.ipynb /HF Data.ipynb: -------------------------------------------------------------------------------- 1 | { 2 | "cells": [ 3 | { 4 | "cell_type": "markdown", 5 | "metadata": {}, 6 | "source": [ 7 | "# High Frequency Data and Limit Order Books - LAB 1." 8 | ] 9 | }, 10 | { 11 | "cell_type": "code", 12 | "execution_count": 4, 13 | "metadata": {}, 14 | "outputs": [], 15 | "source": [ 16 | "import pandas as pd\n", 17 | "import numpy as np\n", 18 | "import datetime\n", 19 | "import matplotlib.pyplot as plt\n", 20 | "import seaborn as sns\n", 21 | "import math\n", 22 | "from scipy.stats import expon\n", 23 | "from scipy.stats import norm\n", 24 | "from scipy.stats import expon\n", 25 | "from scipy.stats import norm\n", 26 | "import matplotlib.dates as md" 27 | ] 28 | }, 29 | { 30 | "cell_type": "markdown", 31 | "metadata": {}, 32 | "source": [ 33 | "**Introduction:** This notebook is dedicated to the study and the exploration of some High-Frequency phenomena, related to limit order books analysis for EDF, Renault and Total stocks." 34 | ] 35 | }, 36 | { 37 | "cell_type": "markdown", 38 | "metadata": {}, 39 | "source": [ 40 | "## 2.1. and 2.2.: Date and time, continuous double auction.\n", 41 | "\n", 42 | "Loading and preprocessing data." 43 | ] 44 | }, 45 | { 46 | "cell_type": "code", 47 | "execution_count": 128, 48 | "metadata": {}, 49 | "outputs": [], 50 | "source": [ 51 | "from datetime import datetime\n", 52 | "edf_trades = []\n", 53 | "edf_quotes = []\n", 54 | "renault_trades = []\n", 55 | "renault_quotes = []\n", 56 | "total_trades = []\n", 57 | "total_quotes = []\n", 58 | "edf_pre = \"/Users/jeremymarck/Desktop/M2Finance/S2/HFLOB/TP/TP1/Data/EDF.PA-201509\"\n", 59 | "renault_pre = \"/Users/jeremymarck/Desktop/M2Finance/S2/HFLOB/TP/TP1/Data/RENA.PA-201509\"\n", 60 | "total_pre = \"/Users/jeremymarck/Desktop/M2Finance/S2/HFLOB/TP/TP1/Data/TOTF.PA-201509\"\n", 61 | "end_quote = \"-Quotes.csv.gz\"\n", 62 | "end_trade = \"-Trades.csv.gz\"\n", 63 | "for i in range(30):\n", 64 | " day = i+1\n", 65 | " if day < 10:\n", 66 | " date = datetime.strptime('2015-09-'+'0'+str(day),'%Y-%m-%d')\n", 67 | " if date.weekday()<5:\n", 68 | " trades_edf = pd.read_csv(edf_pre+'0'+str(day)+end_trade)\n", 69 | " trades_rena = pd.read_csv(renault_pre+'0'+str(day)+end_trade)\n", 70 | " trades_totf = pd.read_csv(total_pre+'0'+str(day)+end_trade)\n", 71 | " quotes_edf = pd.read_csv(edf_pre+'0'+str(day)+end_quote)\n", 72 | " quotes_rena = pd.read_csv(renault_pre+'0'+str(day)+end_quote)\n", 73 | " quotes_totf = pd.read_csv(total_pre+'0'+str(day)+end_quote)\n", 74 | " else:\n", 75 | " continue\n", 76 | " else:\n", 77 | " date = datetime.strptime('2015-09-'+str(day),'%Y-%m-%d')\n", 78 | " if date.weekday() < 5:\n", 79 | " trades_edf = pd.read_csv(edf_pre + str(day) + end_trade)\n", 80 | " trades_rena = pd.read_csv(renault_pre + str(day) + end_trade)\n", 81 | " trades_totf = pd.read_csv(total_pre + str(day) + end_trade)\n", 82 | " quotes_edf = pd.read_csv(edf_pre + str(day) + end_quote)\n", 83 | " quotes_rena = pd.read_csv(renault_pre + str(day) + end_quote)\n", 84 | " quotes_totf = pd.read_csv(total_pre + str(day) + end_quote)\n", 85 | " else:\n", 86 | " continue\n", 87 | " trades_edf['date_delta'] = pd.to_timedelta(trades_edf['date_xl'],unit = 'D') + datetime(1900,1,1)\n", 88 | " trades_edf['ts_delta'] = pd.to_timedelta(trades_edf['ts'],unit='s')\n", 89 | " trades_totf['date_delta'] = pd.to_timedelta(trades_totf['date_xl'],unit='D')+datetime(1900,1,1)\n", 90 | " trades_totf['ts_delta'] = pd.to_timedelta(trades_totf['ts'],unit='s')\n", 91 | " trades_rena['date_delta'] = pd.to_timedelta(trades_rena['date_xl'],unit='D')+datetime(1900,1,1)\n", 92 | " trades_rena['ts_delta'] = pd.to_timedelta(trades_rena['ts'],unit='s')\n", 93 | " quotes_edf['date_delta']= pd.to_timedelta(quotes_edf['date_xl'],unit='D')+datetime(1900,1,1)\n", 94 | " quotes_edf['ts_delta'] = pd.to_timedelta(quotes_edf['ts'],unit='s')\n", 95 | " quotes_totf['date_delta'] = pd.to_timedelta(quotes_totf['date_xl'],unit='D')+datetime(1900,1,1)\n", 96 | " quotes_totf['ts_delta'] = pd.to_timedelta(quotes_totf['ts'],unit='s')\n", 97 | " quotes_rena['date_delta'] = pd.to_timedelta(quotes_rena['date_xl'],unit='D')+datetime(1900,1,1)\n", 98 | " quotes_rena['ts_delta'] = pd.to_timedelta(quotes_rena['ts'],unit='s')\n", 99 | " trades_edf = trades_edf[trades_edf['lastFtxt'] == 'normal']\n", 100 | " trades_totf = trades_totf[trades_totf['lastFtxt'] == 'normal']\n", 101 | " trades_rena = trades_rena[trades_rena['lastFtxt'] == 'normal']\n", 102 | " trades_edf = trades_edf.reset_index()\n", 103 | " del trades_edf['index']\n", 104 | " trades_totf = trades_totf.reset_index()\n", 105 | " del trades_totf['index']\n", 106 | " trades_rena = trades_rena.reset_index()\n", 107 | " del trades_rena['index']\n", 108 | " quotes_edf = quotes_edf[quotes_edf['ts'] >= trades_edf['ts'][0]]\n", 109 | " quotes_edf = quotes_edf[quotes_edf['ts'] <= trades_edf['ts'][len(trades_edf)-1]]\n", 110 | " quotes_totf = quotes_totf[quotes_totf['ts'] >= trades_totf['ts'][0]]\n", 111 | " quotes_totf = quotes_totf[quotes_totf['ts'] <= trades_totf['ts'][len(trades_totf)-1]]\n", 112 | " quotes_rena = quotes_rena[quotes_rena['ts'] >= trades_rena['ts'][0]]\n", 113 | " quotes_rena = quotes_rena[quotes_rena['ts'] <= trades_rena['ts'][len(trades_rena)-1]]\n", 114 | " edf_trades.append(trades_edf)\n", 115 | " edf_quotes.append(quotes_edf)\n", 116 | " total_trades.append(trades_totf)\n", 117 | " total_quotes.append(quotes_totf)\n", 118 | " renault_trades.append(trades_rena)\n", 119 | " renault_quotes.append(quotes_rena)" 120 | ] 121 | }, 122 | { 123 | "cell_type": "markdown", 124 | "metadata": {}, 125 | "source": [ 126 | "## 2.3. Overview\n" 127 | ] 128 | }, 129 | { 130 | "cell_type": "markdown", 131 | "metadata": {}, 132 | "source": [ 133 | "**Number of selected trades per day.**\n", 134 | "\n", 135 | "For each stock, we plot the number of selected trades per day, as well as its average on the sample." 136 | ] 137 | }, 138 | { 139 | "cell_type": "code", 140 | "execution_count": 10, 141 | "metadata": {}, 142 | "outputs": [ 143 | { 144 | "name": "stdout", 145 | "output_type": "stream", 146 | "text": [ 147 | "**** EDF ****\n" 148 | ] 149 | }, 150 | { 151 | "data": { 152 | "image/png": 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\n", 153 | "text/plain": [ 154 | "
" 155 | ] 156 | }, 157 | "metadata": { 158 | "needs_background": "light" 159 | }, 160 | "output_type": "display_data" 161 | }, 162 | { 163 | "name": "stdout", 164 | "output_type": "stream", 165 | "text": [ 166 | "****************\n", 167 | "**** Renault ****\n" 168 | ] 169 | }, 170 | { 171 | "data": { 172 | "image/png": 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173 | "text/plain": [ 174 | "
" 175 | ] 176 | }, 177 | "metadata": { 178 | "needs_background": "light" 179 | }, 180 | "output_type": "display_data" 181 | }, 182 | { 183 | "name": "stdout", 184 | "output_type": "stream", 185 | "text": [ 186 | "****************\n", 187 | "**** Total ****\n" 188 | ] 189 | }, 190 | { 191 | "data": { 192 | "image/png": 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\n", 193 | "text/plain": [ 194 | "
" 195 | ] 196 | }, 197 | "metadata": { 198 | "needs_background": "light" 199 | }, 200 | "output_type": "display_data" 201 | } 202 | ], 203 | "source": [ 204 | "print('**** EDF ****')\n", 205 | "numb_trades_edf = np.zeros(len(edf_trades))\n", 206 | "for i in range(len(edf_trades)):\n", 207 | " numb_trades_edf[i] = len(edf_trades[i])\n", 208 | "plt.scatter(range(len(edf_trades)), numb_trades_edf)\n", 209 | "plt.title('Number of trades EDF')\n", 210 | "plt.axhline(y = np.mean(numb_trades_edf), color='r')\n", 211 | "plt.grid(True)\n", 212 | "plt.show()\n", 213 | "print('****************')\n", 214 | "\n", 215 | "print('**** Renault ****')\n", 216 | "numb_trades = np.zeros(len(renault_trades))\n", 217 | "for i in range(len(renault_trades)):\n", 218 | " numb_trades[i] = len(renault_trades[i])\n", 219 | "plt.scatter(range(len(renault_trades)), numb_trades)\n", 220 | "plt.title('Number of trades Renault')\n", 221 | "plt.axhline(y = np.mean(numb_trades),color='r')\n", 222 | "plt.grid(True)\n", 223 | "plt.show()\n", 224 | "print('****************')\n", 225 | "\n", 226 | "print('**** Total ****')\n", 227 | "numb_trades = np.zeros(len(total_trades))\n", 228 | "for i in range(len(total_trades)):\n", 229 | " numb_trades[i] = len(total_trades[i])\n", 230 | "plt.scatter(range(len(total_trades)), numb_trades)\n", 231 | "plt.title('Number of trades Total')\n", 232 | "plt.axhline(y = np.mean(numb_trades), color = 'r')\n", 233 | "plt.grid(True)\n", 234 | "plt.show()" 235 | ] 236 | }, 237 | { 238 | "cell_type": "markdown", 239 | "metadata": {}, 240 | "source": [ 241 | "**Number of quotes per day.**\n", 242 | "\n", 243 | "For each stock, we plot the number of selected lines of the quote file per day, as well as its average on the sample." 244 | ] 245 | }, 246 | { 247 | "cell_type": "code", 248 | "execution_count": 11, 249 | "metadata": {}, 250 | "outputs": [ 251 | { 252 | "name": "stdout", 253 | "output_type": "stream", 254 | "text": [ 255 | "**** EDF ****\n" 256 | ] 257 | }, 258 | { 259 | "data": { 260 | "image/png": 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\n", 261 | "text/plain": [ 262 | "
" 263 | ] 264 | }, 265 | "metadata": { 266 | "needs_background": "light" 267 | }, 268 | "output_type": "display_data" 269 | }, 270 | { 271 | "name": "stdout", 272 | "output_type": "stream", 273 | "text": [ 274 | "****************\n", 275 | "**** Renault ****\n" 276 | ] 277 | }, 278 | { 279 | "data": { 280 | "image/png": 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\n", 281 | "text/plain": [ 282 | "
" 283 | ] 284 | }, 285 | "metadata": { 286 | "needs_background": "light" 287 | }, 288 | "output_type": "display_data" 289 | }, 290 | { 291 | "name": "stdout", 292 | "output_type": "stream", 293 | "text": [ 294 | "**************\n", 295 | "**** Total ****\n" 296 | ] 297 | }, 298 | { 299 | "data": { 300 | "image/png": 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\n", 301 | "text/plain": [ 302 | "
" 303 | ] 304 | }, 305 | "metadata": { 306 | "needs_background": "light" 307 | }, 308 | "output_type": "display_data" 309 | } 310 | ], 311 | "source": [ 312 | "print('**** EDF ****')\n", 313 | "numb_quotes = np.zeros(len(edf_quotes))\n", 314 | "for i in range(len(edf_quotes)):\n", 315 | " numb_quotes[i] = len(edf_quotes[i])\n", 316 | "plt.scatter(range(len(edf_quotes)),numb_quotes)\n", 317 | "plt.title('Number of quote lines EDF')\n", 318 | "plt.axhline(y=np.mean(numb_quotes),color='r')\n", 319 | "plt.grid(True)\n", 320 | "plt.show()\n", 321 | "print('****************')\n", 322 | "\n", 323 | "print('**** Renault ****')\n", 324 | "numb_quotes = np.zeros(len(renault_quotes))\n", 325 | "for i in range(len(renault_quotes)):\n", 326 | " numb_quotes[i] = len(renault_quotes[i])\n", 327 | "plt.scatter(range(len(renault_quotes)), numb_quotes)\n", 328 | "plt.title('Number of quote lines Renault')\n", 329 | "plt.axhline(y = np.mean(numb_quotes),color = 'r')\n", 330 | "plt.grid(True)\n", 331 | "plt.show()\n", 332 | "print('**************')\n", 333 | "\n", 334 | "print('**** Total ****')\n", 335 | "numb_quotes = np.zeros(len(total_quotes))\n", 336 | "for i in range(len(total_quotes)):\n", 337 | " numb_quotes[i] = len(total_quotes[i])\n", 338 | "plt.scatter(range(len(total_quotes)),numb_quotes)\n", 339 | "plt.title('Number of quote lines Renault')\n", 340 | "plt.axhline(y = np.mean(numb_quotes),color = 'r')\n", 341 | "plt.grid(True)\n", 342 | "plt.show()" 343 | ] 344 | }, 345 | { 346 | "cell_type": "markdown", 347 | "metadata": {}, 348 | "source": [ 349 | "**Evolution of the trade price on the sample.**" 350 | ] 351 | }, 352 | { 353 | "cell_type": "markdown", 354 | "metadata": {}, 355 | "source": [ 356 | "**EDF**" 357 | ] 358 | }, 359 | { 360 | "cell_type": "code", 361 | "execution_count": 12, 362 | "metadata": {}, 363 | "outputs": [], 364 | "source": [ 365 | "edf_price_evol = pd.concat(edf_trades)\n", 366 | "edf_price_evol = edf_price_evol.reset_index()" 367 | ] 368 | }, 369 | { 370 | "cell_type": "code", 371 | "execution_count": 14, 372 | "metadata": {}, 373 | "outputs": [ 374 | { 375 | "data": { 376 | "image/png": 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\n", 377 | "text/plain": [ 378 | "
" 379 | ] 380 | }, 381 | "metadata": { 382 | "needs_background": "light" 383 | }, 384 | "output_type": "display_data" 385 | } 386 | ], 387 | "source": [ 388 | "plt.plot(edf_price_evol['last'],'r--', color = 'r')\n", 389 | "plt.title('Evolution of the EDF price')\n", 390 | "plt.xlabel('Time series observations')\n", 391 | "plt.ylabel('Price')\n", 392 | "plt.grid(True)\n", 393 | "plt.show()" 394 | ] 395 | }, 396 | { 397 | "cell_type": "markdown", 398 | "metadata": {}, 399 | "source": [ 400 | "**Renault**" 401 | ] 402 | }, 403 | { 404 | "cell_type": "code", 405 | "execution_count": 15, 406 | "metadata": {}, 407 | "outputs": [], 408 | "source": [ 409 | "renault_price_evol = pd.concat(renault_trades)\n", 410 | "renault_price_evol = renault_price_evol.reset_index()" 411 | ] 412 | }, 413 | { 414 | "cell_type": "code", 415 | "execution_count": 16, 416 | "metadata": {}, 417 | "outputs": [ 418 | { 419 | "data": { 420 | "image/png": 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\n", 421 | "text/plain": [ 422 | "
" 423 | ] 424 | }, 425 | "metadata": { 426 | "needs_background": "light" 427 | }, 428 | "output_type": "display_data" 429 | } 430 | ], 431 | "source": [ 432 | "plt.plot(renault_price_evol['last'],'r--', color = 'r')\n", 433 | "plt.title('Evolution of the Renault price')\n", 434 | "plt.xlabel('Time series observations')\n", 435 | "plt.ylabel('Price')\n", 436 | "plt.grid(True)\n", 437 | "plt.show()" 438 | ] 439 | }, 440 | { 441 | "cell_type": "markdown", 442 | "metadata": {}, 443 | "source": [ 444 | "**Total**" 445 | ] 446 | }, 447 | { 448 | "cell_type": "code", 449 | "execution_count": 17, 450 | "metadata": {}, 451 | "outputs": [], 452 | "source": [ 453 | "total_price_evol = pd.concat(total_trades)\n", 454 | "total_price_evol = total_price_evol.reset_index()" 455 | ] 456 | }, 457 | { 458 | "cell_type": "code", 459 | "execution_count": 19, 460 | "metadata": {}, 461 | "outputs": [ 462 | { 463 | "data": { 464 | "image/png": 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\n", 465 | "text/plain": [ 466 | "
" 467 | ] 468 | }, 469 | "metadata": { 470 | "needs_background": "light" 471 | }, 472 | "output_type": "display_data" 473 | } 474 | ], 475 | "source": [ 476 | "plt.plot(total_price_evol['last'],'r--', color = 'r')\n", 477 | "plt.title('Evolution of the Total price')\n", 478 | "plt.xlabel('Time series observations')\n", 479 | "plt.ylabel('Price')\n", 480 | "plt.grid(True)\n", 481 | "plt.show()" 482 | ] 483 | }, 484 | { 485 | "cell_type": "markdown", 486 | "metadata": {}, 487 | "source": [ 488 | "# 3. Descriptive statistics using the trade files" 489 | ] 490 | }, 491 | { 492 | "cell_type": "markdown", 493 | "metadata": {}, 494 | "source": [ 495 | "# EDF" 496 | ] 497 | }, 498 | { 499 | "cell_type": "markdown", 500 | "metadata": {}, 501 | "source": [ 502 | "\n", 503 | "## 3.1. Trades durations" 504 | ] 505 | }, 506 | { 507 | "cell_type": "code", 508 | "execution_count": 22, 509 | "metadata": {}, 510 | "outputs": [], 511 | "source": [ 512 | "for i in range(len(edf_trades)):\n", 513 | " trades = edf_trades[i]\n", 514 | " trades['dif'] = trades['ts'].diff()\n", 515 | " edf_trades[i] = trades" 516 | ] 517 | }, 518 | { 519 | "cell_type": "code", 520 | "execution_count": 33, 521 | "metadata": {}, 522 | "outputs": [ 523 | { 524 | "name": "stdout", 525 | "output_type": "stream", 526 | "text": [ 527 | "Max difference: 556.4969999999958\n", 528 | "Min difference: 0.0\n", 529 | "Mean difference: 6.222301475755643\n" 530 | ] 531 | } 532 | ], 533 | "source": [ 534 | "trades = pd.concat(edf_trades)\n", 535 | "print('Max difference:', trades['dif'].max())\n", 536 | "print('Min difference:', trades['dif'].min())\n", 537 | "print('Mean difference:', trades['dif'].mean())" 538 | ] 539 | }, 540 | { 541 | "cell_type": "code", 542 | "execution_count": 34, 543 | "metadata": {}, 544 | "outputs": [ 545 | { 546 | "data": { 547 | "image/png": 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\n", 548 | "text/plain": [ 549 | "
" 550 | ] 551 | }, 552 | "metadata": { 553 | "needs_background": "light" 554 | }, 555 | "output_type": "display_data" 556 | } 557 | ], 558 | "source": [ 559 | "plt.plot(trades['dif'])\n", 560 | "plt.title('Trades durations')\n", 561 | "plt.xlabel('Observations')\n", 562 | "plt.ylabel('Trades durations')\n", 563 | "plt.grid(True)\n", 564 | "plt.show()" 565 | ] 566 | }, 567 | { 568 | "cell_type": "code", 569 | "execution_count": 35, 570 | "metadata": {}, 571 | "outputs": [ 572 | { 573 | "data": { 574 | "image/png": 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\n", 575 | "text/plain": [ 576 | "
" 577 | ] 578 | }, 579 | "metadata": { 580 | "needs_background": "light" 581 | }, 582 | "output_type": "display_data" 583 | } 584 | ], 585 | "source": [ 586 | "# An histogram keeping interesting values only.\n", 587 | "trades1 = trades[trades['dif'] >= 0.001]\n", 588 | "\n", 589 | "plt.hist(trades1['dif'],100)\n", 590 | "plt.title('Histogram')\n", 591 | "plt.xlabel('Trade durations')\n", 592 | "plt.ylabel('Occurences')\n", 593 | "plt.grid(True)\n", 594 | "plt.show()" 595 | ] 596 | }, 597 | { 598 | "cell_type": "code", 599 | "execution_count": 39, 600 | "metadata": {}, 601 | "outputs": [ 602 | { 603 | "data": { 604 | "image/png": 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\n", 605 | "text/plain": [ 606 | "
" 607 | ] 608 | }, 609 | "metadata": { 610 | "needs_background": "light" 611 | }, 612 | "output_type": "display_data" 613 | } 614 | ], 615 | "source": [ 616 | "# Log Scale\n", 617 | "trades1 = trades[trades['dif'] >= 0.001]\n", 618 | "\n", 619 | "plt.hist(trades1['dif'],1000)\n", 620 | "plt.title('Histogramme - Log-scale')\n", 621 | "plt.xlabel('Trade durations')\n", 622 | "plt.ylabel('Occurences')\n", 623 | "plt.yscale('log')\n", 624 | "plt.grid(True)\n", 625 | "plt.show()" 626 | ] 627 | }, 628 | { 629 | "cell_type": "code", 630 | "execution_count": 40, 631 | "metadata": {}, 632 | "outputs": [ 633 | { 634 | "data": { 635 | "image/png": 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\n", 636 | "text/plain": [ 637 | "
" 638 | ] 639 | }, 640 | "metadata": { 641 | "needs_background": "light" 642 | }, 643 | "output_type": "display_data" 644 | } 645 | ], 646 | "source": [ 647 | "# Fitting an exponential distribution\n", 648 | "graph_duration = sns.distplot(trades1['dif'], fit = expon)\n", 649 | "plt.title('Histogramme + Exponential distribution fitted')\n", 650 | "plt.xlabel('Trade durations')\n", 651 | "plt.ylabel('Occurences')\n", 652 | "plt.grid(True)\n", 653 | "plt.show()" 654 | ] 655 | }, 656 | { 657 | "cell_type": "code", 658 | "execution_count": 41, 659 | "metadata": {}, 660 | "outputs": [ 661 | { 662 | "data": { 663 | "image/png": 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\n", 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" 666 | ] 667 | }, 668 | "metadata": { 669 | "needs_background": "light" 670 | }, 671 | "output_type": "display_data" 672 | } 673 | ], 674 | "source": [ 675 | "graph_duration = sns.distplot(trades1['dif'], fit = expon)\n", 676 | "graph_duration.set_yscale('log')\n", 677 | "plt.title('Histogramme - Log- scale - + Exponential distribution fitted')\n", 678 | "plt.xlabel('Trade durations')\n", 679 | "plt.ylabel('Occurences')\n", 680 | "plt.grid(True)\n", 681 | "plt.show()" 682 | ] 683 | }, 684 | { 685 | "cell_type": "markdown", 686 | "metadata": {}, 687 | "source": [ 688 | "## 3.2. Trade sizes" 689 | ] 690 | }, 691 | { 692 | "cell_type": "code", 693 | "execution_count": 76, 694 | "metadata": {}, 695 | "outputs": [ 696 | { 697 | "name": "stdout", 698 | "output_type": "stream", 699 | "text": [ 700 | "Max size: 19530.0\n", 701 | "Min size: 1.0\n", 702 | "Mean size: 212.51439302392802\n" 703 | ] 704 | } 705 | ], 706 | "source": [ 707 | "# Some statistics about trade sizes\n", 708 | "print('Max size:', trades['lastQ'].max())\n", 709 | "print('Min size:', trades['lastQ'].min())\n", 710 | "print('Mean size:', trades['lastQ'].mean())" 711 | ] 712 | }, 713 | { 714 | "cell_type": "code", 715 | "execution_count": 43, 716 | "metadata": {}, 717 | "outputs": [ 718 | { 719 | "data": { 720 | "image/png": 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\n", 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" 723 | ] 724 | }, 725 | "metadata": { 726 | "needs_background": "light" 727 | }, 728 | "output_type": "display_data" 729 | } 730 | ], 731 | "source": [ 732 | "# Plotting an histogram of the trade sizes\n", 733 | "plt.hist(trades['lastQ'],200)\n", 734 | "plt.title('Histogramme - Trade sizes')\n", 735 | "plt.xlabel('Trade sizes')\n", 736 | "plt.ylabel('Occurences')\n", 737 | "plt.grid(True)\n", 738 | "plt.show()" 739 | ] 740 | }, 741 | { 742 | "cell_type": "code", 743 | "execution_count": 44, 744 | "metadata": {}, 745 | "outputs": [ 746 | { 747 | "data": { 748 | "image/png": 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\n", 749 | "text/plain": [ 750 | "
" 751 | ] 752 | }, 753 | "metadata": { 754 | "needs_background": "light" 755 | }, 756 | "output_type": "display_data" 757 | } 758 | ], 759 | "source": [ 760 | "plt.hist(trades['lastQ'],200)\n", 761 | "plt.yscale('log')\n", 762 | "plt.title('Histogramme - Log-scale - Trade sizes')\n", 763 | "plt.xlabel('Trade sizes')\n", 764 | "plt.ylabel('Occurences')\n", 765 | "plt.grid(True)\n", 766 | "plt.show()" 767 | ] 768 | }, 769 | { 770 | "cell_type": "code", 771 | "execution_count": 45, 772 | "metadata": {}, 773 | "outputs": [ 774 | { 775 | "data": { 776 | "image/png": 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\n", 777 | "text/plain": [ 778 | "
" 779 | ] 780 | }, 781 | "metadata": { 782 | "needs_background": "light" 783 | }, 784 | "output_type": "display_data" 785 | } 786 | ], 787 | "source": [ 788 | "# Trades sizes\n", 789 | "graph_trades = sns.distplot(trades['lastQ'], fit = expon)\n", 790 | "plt.title('Histogramme - Trade sizes + Exp. Distrib. Fitted ')\n", 791 | "plt.xlabel('Trade sizes')\n", 792 | "plt.ylabel('Occurences')\n", 793 | "plt.grid(True)\n", 794 | "plt.show()" 795 | ] 796 | }, 797 | { 798 | "cell_type": "code", 799 | "execution_count": 46, 800 | "metadata": {}, 801 | "outputs": [ 802 | { 803 | "data": { 804 | "image/png": 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\n", 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" 807 | ] 808 | }, 809 | "metadata": { 810 | "needs_background": "light" 811 | }, 812 | "output_type": "display_data" 813 | } 814 | ], 815 | "source": [ 816 | "# Plotting the empirical distribution and fitting an exponential distribution\n", 817 | "graph_trades = sns.distplot(trades['lastQ'], fit = expon)\n", 818 | "graph_trades.set_yscale('log')\n", 819 | "plt.title('Histogramme - Log-scale - Trade sizes + Exp. Distrib. Fitted ')\n", 820 | "plt.xlabel('Trade sizes')\n", 821 | "plt.ylabel('Occurences')\n", 822 | "plt.grid(True)\n", 823 | "plt.show()" 824 | ] 825 | }, 826 | { 827 | "cell_type": "markdown", 828 | "metadata": {}, 829 | "source": [ 830 | "# Renault\n", 831 | "## 3.1. Trades durations" 832 | ] 833 | }, 834 | { 835 | "cell_type": "code", 836 | "execution_count": 47, 837 | "metadata": {}, 838 | "outputs": [], 839 | "source": [ 840 | "for i in range(len(renault_trades)):\n", 841 | " trades = renault_trades[i]\n", 842 | " trades['dif'] = trades['ts'].diff()\n", 843 | " edf_trades[i] = trades" 844 | ] 845 | }, 846 | { 847 | "cell_type": "code", 848 | "execution_count": 48, 849 | "metadata": {}, 850 | "outputs": [ 851 | { 852 | "name": "stdout", 853 | "output_type": "stream", 854 | "text": [ 855 | "Max difference: 283.4779999999955\n", 856 | "Min difference: 0.0\n", 857 | "Mean difference: 2.4011447683403144\n" 858 | ] 859 | } 860 | ], 861 | "source": [ 862 | "trades = pd.concat(edf_trades)\n", 863 | "print('Max difference:', trades['dif'].max())\n", 864 | "print('Min difference:', trades['dif'].min())\n", 865 | "print('Mean difference:', trades['dif'].mean())" 866 | ] 867 | }, 868 | { 869 | "cell_type": "code", 870 | "execution_count": 49, 871 | "metadata": {}, 872 | "outputs": [ 873 | { 874 | "data": { 875 | "image/png": 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\n", 876 | "text/plain": [ 877 | "
" 878 | ] 879 | }, 880 | "metadata": { 881 | "needs_background": "light" 882 | }, 883 | "output_type": "display_data" 884 | } 885 | ], 886 | "source": [ 887 | "plt.plot(trades['dif'])\n", 888 | "plt.title('Trades durations')\n", 889 | "plt.xlabel('Observations')\n", 890 | "plt.ylabel('Trades durations')\n", 891 | "plt.grid(True)\n", 892 | "plt.show()" 893 | ] 894 | }, 895 | { 896 | "cell_type": "code", 897 | "execution_count": 51, 898 | "metadata": {}, 899 | "outputs": [ 900 | { 901 | "data": { 902 | "image/png": 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\n", 903 | "text/plain": [ 904 | "
" 905 | ] 906 | }, 907 | "metadata": { 908 | "needs_background": "light" 909 | }, 910 | "output_type": "display_data" 911 | } 912 | ], 913 | "source": [ 914 | "# An histogram keeping interesting values only.\n", 915 | "trades1 = trades[trades['dif'] >= 0.001]\n", 916 | "\n", 917 | "plt.hist(trades1['dif'],100)\n", 918 | "plt.title('Histogramme')\n", 919 | "plt.xlabel('Trade durations')\n", 920 | "plt.ylabel('Occurences')\n", 921 | "plt.grid(True)\n", 922 | "plt.show()" 923 | ] 924 | }, 925 | { 926 | "cell_type": "code", 927 | "execution_count": 52, 928 | "metadata": {}, 929 | "outputs": [ 930 | { 931 | "data": { 932 | "image/png": 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\n", 933 | "text/plain": [ 934 | "
" 935 | ] 936 | }, 937 | "metadata": { 938 | "needs_background": "light" 939 | }, 940 | "output_type": "display_data" 941 | } 942 | ], 943 | "source": [ 944 | "# Log Scale\n", 945 | "trades1 = trades[trades['dif'] >= 0.001]\n", 946 | "\n", 947 | "plt.hist(trades1['dif'],100)\n", 948 | "plt.yscale('log')\n", 949 | "plt.title('Histogramme - Log-scale')\n", 950 | "plt.xlabel('Trade durations')\n", 951 | "plt.ylabel('Occurences')\n", 952 | "plt.yscale('log')\n", 953 | "plt.grid(True)\n", 954 | "plt.show()" 955 | ] 956 | }, 957 | { 958 | "cell_type": "code", 959 | "execution_count": 53, 960 | "metadata": {}, 961 | "outputs": [ 962 | { 963 | "data": { 964 | "image/png": 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\n", 965 | "text/plain": [ 966 | "
" 967 | ] 968 | }, 969 | "metadata": { 970 | "needs_background": "light" 971 | }, 972 | "output_type": "display_data" 973 | } 974 | ], 975 | "source": [ 976 | "# Fitting an exponential distribution\n", 977 | "graph_duration = sns.distplot(trades1['dif'], fit = expon)\n", 978 | "plt.title('Histogramme + Exponential distribution fitted')\n", 979 | "plt.xlabel('Trade durations')\n", 980 | "plt.ylabel('Occurences')\n", 981 | "plt.grid(True)\n", 982 | "plt.show()" 983 | ] 984 | }, 985 | { 986 | "cell_type": "code", 987 | "execution_count": 54, 988 | "metadata": {}, 989 | "outputs": [ 990 | { 991 | "data": { 992 | "image/png": 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\n", 993 | "text/plain": [ 994 | "
" 995 | ] 996 | }, 997 | "metadata": { 998 | "needs_background": "light" 999 | }, 1000 | "output_type": "display_data" 1001 | } 1002 | ], 1003 | "source": [ 1004 | "graph_duration = sns.distplot(trades1['dif'], fit = expon)\n", 1005 | "graph_duration.set_yscale('log')\n", 1006 | "plt.title('Histogramme - Log- scale - + Exponential distribution fitted')\n", 1007 | "plt.xlabel('Trade durations')\n", 1008 | "plt.ylabel('Occurences')\n", 1009 | "plt.grid(True)\n", 1010 | "plt.show()" 1011 | ] 1012 | }, 1013 | { 1014 | "cell_type": "markdown", 1015 | "metadata": {}, 1016 | "source": [ 1017 | "## 3.2. Trade sizes" 1018 | ] 1019 | }, 1020 | { 1021 | "cell_type": "code", 1022 | "execution_count": 75, 1023 | "metadata": {}, 1024 | "outputs": [ 1025 | { 1026 | "name": "stdout", 1027 | "output_type": "stream", 1028 | "text": [ 1029 | "Max size: 19530.0\n", 1030 | "Min size: 1.0\n", 1031 | "Mean size: 212.51439302392802\n" 1032 | ] 1033 | } 1034 | ], 1035 | "source": [ 1036 | "# Some statistics about trade sizes\n", 1037 | "\n", 1038 | "print('Max size:', trades['lastQ'].max())\n", 1039 | "print('Min size:', trades['lastQ'].min())\n", 1040 | "print('Mean size:', trades['lastQ'].mean())" 1041 | ] 1042 | }, 1043 | { 1044 | "cell_type": "code", 1045 | "execution_count": 56, 1046 | "metadata": {}, 1047 | "outputs": [ 1048 | { 1049 | "data": { 1050 | "image/png": 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\n", 1051 | "text/plain": [ 1052 | "
" 1053 | ] 1054 | }, 1055 | "metadata": { 1056 | "needs_background": "light" 1057 | }, 1058 | "output_type": "display_data" 1059 | } 1060 | ], 1061 | "source": [ 1062 | "# Plotting an histogram of the trade sizes\n", 1063 | "plt.hist(trades['lastQ'],200)\n", 1064 | "plt.title('Histogramme - Trade sizes')\n", 1065 | "plt.xlabel('Trade sizes')\n", 1066 | "plt.ylabel('Occurences')\n", 1067 | "plt.grid(True)\n", 1068 | "plt.show()" 1069 | ] 1070 | }, 1071 | { 1072 | "cell_type": "code", 1073 | "execution_count": 57, 1074 | "metadata": {}, 1075 | "outputs": [ 1076 | { 1077 | "data": { 1078 | "image/png": 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N0tPIEsS1EfEnIMoLy8zMOq3ZBHEZsAGYCnxH0qHA1rKC6jY+5dXMJqLJzWwUERcBF+WKfilpbjkhdQ8nBjObyJodpJ4m6UuSbkjLs4A3lRqZmZl1VLNdTFcANwIHpeV7gXPaGYik50q6VNJVks5qZ91mZjZ6zSaI/SNiOfAEQERsAx4f6UGSLpe0SdKauvJ5ktZJWi9pcarz7oh4O/A/gd5RPQszM2u7ZhPEo5KeTjpzSdIxQDPzXFwBzMsXSJoEXAIcD8wCFqQuKyS9BrgFuLnJuMzMrCSKGPlsVUkvBC4GjgLWAAcAp0TET5p47AxgRUQclZaPBc6LiOPS8rkAEfGJ3GNWRsQJDepbBCwCmDZt2uz+/v4R4y+y6ZEtbHys+e2Pnt7ZaT2Ghobo6enpaAzNqlKsUK14qxQrVCveKsUKY4t37ty5qyJixJ6aZs9iulPSy4EjAQHr0m8hWjEduC+3PAjMkdQHvA7YlezHeI1iWQIsAejt7Y2+vr6Wgrh46bVcuLqppw/AhtNa20+7DAwM0OpzHW9VihWqFW+VYoVqxVulWGF84m3qE1LSO4GlEbE2Le8raUFEfKGFfaqgLCJiABhoMp75wPyZM2e2sHszM2tGs2MQb42IzbWFiPgt8NYW9zkIHJJbPhh4YDQVeDZXM7PyNZsgdpH05Df/NNA8pcV93g4cIekwSVOAU4HrRlOBrwdhZla+ZhPEjcBySa+U9ApgGfAfIz1I0jLgVuBISYOSFqZTZM9Odd4NLK91XTXLRxBmZuVrdpT2A8DbgLPIxhBuAv5lpAdFxIIG5dczzED0SDwGYWZWvqaOICLiiYj4YkScEhGvj4jLImLEH8qVpRNHEDMWr/TcTGY2oTR7FtNLgPOAQ9NjRHbm0eHlhWZmZp3UbBfTl4B3A6toYoqNsrmLycysfM0OUm+JiBsiYlNEPFy7lRrZMDxIbWZWvmaPIL4t6QLgauC/a4URcWcpUZmZWcc1myDmpL/5uTsCeEV7w2lOJ7uYZixeyYbzC6eJMjPbqTQ7F1NXXT0uIr4BfKO3t7fVX3ObmdkIWr6inKSF5YZmZmad1DVXlBsNT7VhZla+Uq8oVxafxWRmVr6yryi3U6r/VbV/YW1mO6Nmz2J6D9mMq8+W9D3SFeVKi8rMzDpuxAQhaRdgN6BdV5TbafjIwcx2ZiN2MUXEE8CFEbEtItZGxJpOJwcPUpuZla/ZMYibJL0+f9GgTvIgtZlZ+UYzBjEV2CbpD2yfzXWv0iIzM7OOavaX1HuWHYiZmXWXZq8H8bKi8oj4TnvDqT7P1WRmO4tmu5jen7u/G/AismtDdGSyPjMzK1+zXUzz88uSDgE+VUpEZmbWFZo9i6neIHBUOwMZDZ/mamZWvmbHIC4mTbNBllSeD/y4rKBG0o3TfftHc2a2s2l2DOKO3P1twLKI+F4J8ZiZWZdoNkFcBfwhIh4HkDRJ0h4R8fvyQjMzs05qdgziZmD33PLuwDfbH46ZmXWLZhPEbhExVFtI9/coJyQzM+sGo7kexAtrC5JmA4+VE5KZmXWDZscgzgGulPRAWj4Q+JtyQjIzs27Q7A/lbpf0Z2y/HsQ9ZUz5Lekk4ATgGcAlEXFTu/dhZmbNaaqLSdI7ganpWhCrgR5J72jysZdL2iRpTV35PEnrJK2XtBggIq6JiLcCZ1DhI5T6S5KamVVRs2MQb42IzbWFiPgt0OyP1K4A5uULJE0CLgGOB2YBCyTNym3y4bTezMw6pNkEsUv+YkHpA35KMw9MM74+Ulf8ImB9RPw8Iv4I9AOvVeaTwA0RcWeTsZmZWQkUESNvJH0aOBS4lGzKjbOAX0XEe5vaiTQDWBERR6XlU4B5EXFmWj4dmAPcC7wJuB34UURcWlDXImARwLRp02b39/c3E8JTbHpkCxtLPg/r6Ontu+Ld0NAQPT09bauvTFWKFaoVb5VihWrFW6VYYWzxzp07d1VE9I60XbNnMX2ErEvp7WSD1DcBX2opskzRpUsjIi4CLhrugRGxRNKDwPw999xzdl9fX0sBXLz0Wi5c3ezTb82G0/raVtfAwACtPtfxVqVYoVrxVilWqFa8VYoVxifeYbuYJE2W9CngV2QDxzOBPuCIkR47gkHgkNzywcADDbZ9Cl+T2sysfCN9yF8A7AccHhEvjIgXAIcBewOfHsN+bweOkHSYpCnAqcB1zT7Y032bmZVvpARxItkZTL+rFaT7ZwGvbmYHkpYBtwJHShqUtDAitgFnAzcCdwPLI2Jts0FX5QjCp7qaWZWN1AkfUTCKHRGPSxp5dDvbdkGD8uuB65upw8zMxt9IRxB3SXpjfaGkNwD3lBPSyNzFZGZWvpGOIN4JXC3pLcAqslNc/4Jsuu+TS46toW68opyZ2c5m2AQREfcDcyS9Ange2empN0TEzeMRXCOS5gPzZ86c2ckwzMx2as1O1vct4Fslx9I0H0GYmZVvLL9lMDOznVglE0SVBqk9s6uZVVW5c02UpIpdTPkkseH8E55c3nD+CZ0KycxsWJU8gjAzs/I5QZiZWaFKJogqjUGYmVVVJRNEVeZiasSD1mZWBZVMEGZmVj4nCDMzK+QE0UUadT25S8rMOqGSCcKD1GZm5atkgqj6ILWZWRVUMkGYmVn5nCDMzKyQE4SZmRVygjAzs0JOEF3Kp7aaWadVMkH4NFczs/JVMkH4NFczs/JV8oJBE4W7mcysk5wguoyTgpl1i0p2MZmZWfmcIMzMrJAThJmZFXKCqKAZi1d6rMLMStc1CULS4ZK+JOmqTscynpr9oF99/xYnBjMbV6UmCEmXS9okaU1d+TxJ6yStl7QYICJ+HhELy4zHzMyaV/ZprlcAnwf+rVYgaRJwCfCXwCBwu6TrIuKukmPpWj4qMLNupIgodwfSDGBFRByVlo8FzouI49LyuQAR8Ym0fFVEnDJMfYuARQDTpk2b3d/f31Jcmx7ZwsbHWnpoR0zbnafEe/T05n9Jvvr+LaPafiyGhobo6ekZl321Q5XirVKsUK14qxQrjC3euXPnroqI3pG268QP5aYD9+WWB4E5kp4OfBx4gaRzawmjXkQsAZYA9Pb2Rl9fX0tBXLz0Wi5cXZ3fCb736G1PiXfDaX1NP/6MxStHtf1YDAwM0Orr0glVirdKsUK14q1SrDA+8XbiE1IFZRERDwNvb6oCaT4wf+bMmW0NzMzMtuvEWUyDwCG55YOBB0ZTgSfrMzMrXycSxO3AEZIOkzQFOBW4bjQVeLrvxjzgbWbtUvZprsuAW4EjJQ1KWhgR24CzgRuBu4HlEbF2NPX6CMLMrHyljkFExIIG5dcD17dar8cgzMzK1zW/pB4NH0GYmZWvkgnCzMzKV8kE4UHqTH5Aupl5mjyXk5mNRiUThLuYzMzKV8kEYWZm5atkgnAX03bDdRu5O8nMxqKSCcJdTGZm5atkgjAzs/I5QZiZWaHqzHed419SN2+k8YkN558wnuGYWYVU8gjCYxBmZuWrZIIwM7PyOUGYmVmhSiYI/w5ieO2eUqPVuvz7DLNqq2SC8BiEmVn5KpkgzMysfE4QZmZWyAnCzMwKOUGYmVkhJwgzMyvkqTZsB/kpOOqvWFeTn56jaPsr5k0dsb5G+/bUH+PP065YI5U8gvBprmZm5atkgjAzs/I5QZiZWSEnCDMzK+QEYWZmhZwgzMyskBOEmZkVcoIwM7NCXfNDOUlTgS8AfwQGImJph0MyM5vQSj2CkHS5pE2S1tSVz5O0TtJ6SYtT8euAqyLircBryozLzMxGVnYX0xXAvHyBpEnAJcDxwCxggaRZwMHAfWmzx0uOy8zMRqCIKHcH0gxgRUQclZaPBc6LiOPS8rlp00HgtxGxQlJ/RJzaoL5FwCKAadOmze7v728prk2PbGHjYy09tCOm7U7p8R49fW9W39/8ZVzz2+fvH7b3JHp6eoat6+jpT50mZfX9WxqWN3psfl1Rea2svu78+qGhIXp6ehrGOtx+xlszsY5W0WtYf79VZcRb0+j90qoyY22n+v+zVsydO3dVRPSOtF0nEsQpwLyIODMtnw7MAT4AfB74A3BLM2MQvb29cccdd7QU18VLr+XC1V0zBDOi9x69rfR4m5lQr9H29ZP19fX1DVtX0cRwjSbrq6+naLLARuW1svq68+sHBgbo6+trGOtw+xlvzcQ6WkWvYf39VpURb027J3csM9Z2qv8/a4WkphJEJz4hVVAWEfEo8OamKvBsrmZmpevEaa6DwCG55YOBB0ZTgWdzNTMrXycSxO3AEZIOkzQFOBW4bjQVSJovacmWLc33l5uZ2eiUfZrrMuBW4EhJg5IWRsQ24GzgRuBuYHlErB1NvT6CMDMrX6ljEBGxoEH59cD1rdbrMQgzs/JVcqoNH0GYmZWvkgnCYxBmZuWrZILwEYSZWflK/6FcmST9Bvhliw/fH3iojeGUrUrxVilWqFa8VYoVqhVvlWKFscV7aEQcMNJGlU4QYyHpjmZ+SdgtqhRvlWKFasVbpVihWvFWKVYYn3gr2cVkZmblc4IwM7NCEzlBLOl0AKNUpXirFCtUK94qxQrVirdKscI4xDthxyDMzGx4E/kIwszMhuEEYWZmhSZkgmhwTezxjuEQSd+WdLektZL+NpXvJ+k/Jf00/d03lUvSRSnmn0h6Ya6uN6XtfyrpTSXGPEnS/5O0Ii0fJum2tN+vpdl5kbRrWl6f1s/I1XFuKl8n6bgSY91H0lWS7kltfGy3tq2kd6f3wBpJyyTt1k1tW3Rt+Xa2paTZklanx1wkqeiaMWON94L0XviJpK9L2ie3rrDdGn1ONHpt2hVrbt37JIWk/dPy+LdtREyoGzAJ+BlwODAF+DEwqwNxHAi8MN3fE7iX7BrdnwIWp/LFwCfT/VcDN5BdcOkY4LZUvh/w8/R333R/35Jifg/wVbIrBAIsB05N9y8Fzkr33wFcmu6fCnwt3Z+V2ntX4LD0OkwqKdZ/Bc5M96cA+3Rj2wLTgV8Au+fa9IxualvgZcALgTW5sra1JfBD4Nj0mBuA40uI96+Ayen+J3PxFrYbw3xONHpt2hVrKj+EbMbrXwL7d6pt2/6P2e231Fg35pbPBc7tgriuBf4SWAccmMoOBNal+5cBC3Lbr0vrFwCX5cp32K6N8R0M3Ay8AliR3nAP5f7pnmzX9MY+Nt2fnLZTfVvnt2tzrHuRfeiqrrzr2pYsQdyX/rknp7Y9rtvaFpjBjh+4bWnLtO6eXPkO27Ur3rp1JwNL0/3CdqPB58Rw7/t2xgpcBfwPYAPbE8S4t+1E7GKq/UPWDKayjkndBC8AbgOmRcSDAOnvM9JmjeIer+fzWeDvgCfS8tOBzZFd36N+v0/GlNZvSduPV6yHA78BvqysS+xfJE2lC9s2Iu4HPg38CniQrK1W0b1tW9Outpye7teXl+ktZN+mGSGuovLh3vdtIek1wP0R8eO6VePethMxQRReE3vco0gk9QD/FzgnIrYOt2lBWQxT3jaSTgQ2RcSqJuIZbt14tf1kssP2L0bEC4BHybpBGulk2+4LvJase+MgYCpw/DD77XTbjmS08Y1r3JI+BGwDltaKRhlXqfFK2gP4EPDRotWjjGnMsU7EBDHma2K3i6SnkSWHpRFxdSreKOnAtP5AYFMqbxT3eDyflwCvkbQB6CfrZvossI+k2kWn8vt9Mqa0fm/gkXGKtbb/wYi4LS1fRZYwurFtXwX8IiJ+ExF/Aq4GXkz3tm1Nu9pyMN2vL2+7NHh7InBapD6XFuJ9iMavTTs8m+zLwo/T/9vBwJ2SntlCrGNv23b1UVblRvbt8ufpRagNPj2vA3EI+Dfgs3XlF7Dj4N+n0v0T2HGA6oepfD+y/vZ90+0XwH4lxt3H9kHqK9lxsO4d6f472XEgdXm6/zx2HBD8OeUNUn8XODLdPy+1a9e1LTAHWAvskfb/r8C7uq1teeoYRNvakuw69cewfSD11SXEOw+4CzigbrvCdmOYz4lGr027Yq1bt4HtYxDj3ralfIh0+43sbIB7yc5S+FCHYngp2eHeT4Afpduryfo4bwZ+mv7WXmgBl6SYVwO9ubreAqxPtzeXHHcf2xPE4WRnSaxP/zS7pvLd0vL6tP7w3OM/lJ7DOsZ4tsrT6ADVAAADLElEQVQIcT4fuCO17zXpH6cr2xb4GHAPsAb4Svqw6pq2BZaRjY/8iexb6cJ2tiXQm577z4DPU3dyQZviXU/WT1/7X7t0pHajwedEo9emXbHWrd/A9gQx7m3rqTbMzKzQRByDMDOzJjhBmJlZIScIMzMr5ARhZmaFnCDMzKyQE4RNCJKeLulH6fZrSffnlkc9G6ekV0m6pg1x3Shpz7HWY1aGySNvYlZ9EfEw2W8jkHQeMBQRn85vk6ZCVkQ88dQaSourtCnPzcbKRxA2oUmaqew6DJcCdwIHSloi6Q5l12j4aG7bE9L1AW4hmz+pVt4j6QpJP0yTA84v2M90SbekI5Y1kl6cygeVXbvinbkjmg2S/jOtP17SrZLuTNcemJrKL5B0V7ouwCdLbiaboPxDOZtw8kcQkmaS/Vp2TkTcntbvFxGPpPl2vg28jewXrfcCLyebguEqsqksTpL0KeDOiOhPk+/dBvx5RPwht88PAETEJyVNIrv+w5CkQeCoiNictpsCDAD/QDar65Vkv+79fZpoLoAvAd9KjwtJ+9Qeb9ZO7mIyg5/VkkOyQNJCsv+Pg8guKrMHcG9E/AxA0lLgjWn7vwKOz111bDfgWWQJpeZ24DJJuwHXxFOncq75PHBDRNwg6aS07++nC4FNAW4hm5zvCeCfJa0ku4aEWds5QZhl04EDIOkI4G+BF0XEZkn/TvaBD42nShZwUi15FImIb0nqI5twbamkT0TE0vw2ks4Enkl2xFKr9z8i4vSn7FDqJbvA1KnAWWRJyqytPAZhtqO9gN8BW9M01rVB5LuA5yi7HrHIrs5VcyPwv2sLkl5QX6mkQ4FfR8QS4AqyC0Tl17+ILDGdHtv7fb8PvFzS4WmbqZKOSGc97RURK4B319dl1i4+gjDb0Z1kyWAN2VjD9wDSGMDbyaZMfiiVH5ke8zHgs5JWk33pWk9uEDt5JfAeSX8ChoA31K1/F9m0zf+VupN+EBFvT11dX8udivtB4DHgakm7pv29px1P3KyeB6nNzKyQu5jMzKyQE4SZmRVygjAzs0JOEGZmVsgJwszMCjlBmJlZIScIMzMr9P8BJ0wp3mcySfcAAAAASUVORK5CYII=\n", 1079 | "text/plain": [ 1080 | "
" 1081 | ] 1082 | }, 1083 | "metadata": { 1084 | "needs_background": "light" 1085 | }, 1086 | "output_type": "display_data" 1087 | } 1088 | ], 1089 | "source": [ 1090 | "plt.hist(trades['lastQ'],200)\n", 1091 | "plt.yscale('log')\n", 1092 | "plt.title('Histogramme - Log-scale - Trade sizes')\n", 1093 | "plt.xlabel('Trade sizes')\n", 1094 | "plt.ylabel('Occurences')\n", 1095 | "plt.grid(True)\n", 1096 | "plt.show()" 1097 | ] 1098 | }, 1099 | { 1100 | "cell_type": "code", 1101 | "execution_count": 58, 1102 | "metadata": {}, 1103 | "outputs": [ 1104 | { 1105 | "data": { 1106 | "image/png": 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\n", 1107 | "text/plain": [ 1108 | "
" 1109 | ] 1110 | }, 1111 | "metadata": { 1112 | "needs_background": "light" 1113 | }, 1114 | "output_type": "display_data" 1115 | } 1116 | ], 1117 | "source": [ 1118 | "# Trades sizes\n", 1119 | "graph_trades = sns.distplot(trades['lastQ'], fit = expon)\n", 1120 | "plt.title('Histogramme - Trade sizes + Exp. Distrib. Fitted ')\n", 1121 | "plt.xlabel('Trade sizes')\n", 1122 | "plt.ylabel('Occurences')\n", 1123 | "plt.grid(True)\n", 1124 | "plt.show()" 1125 | ] 1126 | }, 1127 | { 1128 | "cell_type": "code", 1129 | "execution_count": 59, 1130 | "metadata": { 1131 | "scrolled": true 1132 | }, 1133 | "outputs": [ 1134 | { 1135 | "data": { 1136 | "image/png": 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\n", 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" 1139 | ] 1140 | }, 1141 | "metadata": { 1142 | "needs_background": "light" 1143 | }, 1144 | "output_type": "display_data" 1145 | } 1146 | ], 1147 | "source": [ 1148 | "# Plotting the empirical distribution and fitting an exponential distribution\n", 1149 | "graph_trades = sns.distplot(trades['lastQ'], fit = expon)\n", 1150 | "graph_trades.set_yscale('log')\n", 1151 | "plt.title('Histogramme - Log-scale - Trade sizes + Exp. Distrib. Fitted ')\n", 1152 | "plt.xlabel('Trade sizes')\n", 1153 | "plt.ylabel('Occurences')\n", 1154 | "plt.grid(True)\n", 1155 | "plt.show()" 1156 | ] 1157 | }, 1158 | { 1159 | "cell_type": "markdown", 1160 | "metadata": {}, 1161 | "source": [ 1162 | "# Total\n", 1163 | "## 3.1. Trades durations" 1164 | ] 1165 | }, 1166 | { 1167 | "cell_type": "code", 1168 | "execution_count": 60, 1169 | "metadata": {}, 1170 | "outputs": [], 1171 | "source": [ 1172 | "for i in range(len(total_trades)):\n", 1173 | " trades = total_trades[i]\n", 1174 | " trades['dif'] = trades['ts'].diff()\n", 1175 | " total_trades[i] = trades" 1176 | ] 1177 | }, 1178 | { 1179 | "cell_type": "code", 1180 | "execution_count": 61, 1181 | "metadata": {}, 1182 | "outputs": [ 1183 | { 1184 | "name": "stdout", 1185 | "output_type": "stream", 1186 | "text": [ 1187 | "Max difference: 116.596000000005\n", 1188 | "Min difference: 0.0\n", 1189 | "Mean difference: 1.1720445667999386\n" 1190 | ] 1191 | } 1192 | ], 1193 | "source": [ 1194 | "trades = pd.concat(total_trades)\n", 1195 | "print('Max difference:', trades['dif'].max())\n", 1196 | "print('Min difference:', trades['dif'].min())\n", 1197 | "print('Mean difference:', trades['dif'].mean())" 1198 | ] 1199 | }, 1200 | { 1201 | "cell_type": "code", 1202 | "execution_count": 62, 1203 | "metadata": {}, 1204 | "outputs": [ 1205 | { 1206 | "data": { 1207 | "image/png": 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\n", 1208 | "text/plain": [ 1209 | "
" 1210 | ] 1211 | }, 1212 | "metadata": { 1213 | "needs_background": "light" 1214 | }, 1215 | "output_type": "display_data" 1216 | } 1217 | ], 1218 | "source": [ 1219 | "plt.plot(trades['dif'])\n", 1220 | "plt.title('Trades durations')\n", 1221 | "plt.xlabel('Observations')\n", 1222 | "plt.ylabel('Trades durations')\n", 1223 | "plt.grid(True)\n", 1224 | "plt.show()" 1225 | ] 1226 | }, 1227 | { 1228 | "cell_type": "code", 1229 | "execution_count": 65, 1230 | "metadata": {}, 1231 | "outputs": [ 1232 | { 1233 | "data": { 1234 | "image/png": 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\n", 1235 | "text/plain": [ 1236 | "
" 1237 | ] 1238 | }, 1239 | "metadata": { 1240 | "needs_background": "light" 1241 | }, 1242 | "output_type": "display_data" 1243 | } 1244 | ], 1245 | "source": [ 1246 | "# An histogram keeping interesting values only.\n", 1247 | "trades1 = trades[trades['dif'] >=0.001]\n", 1248 | "\n", 1249 | "plt.hist(trades1['dif'],100)\n", 1250 | "plt.title('Histogram - Trades durations')\n", 1251 | "plt.xlabel('Trade durations')\n", 1252 | "plt.ylabel('Occurences')\n", 1253 | "plt.grid(True)\n", 1254 | "plt.show()" 1255 | ] 1256 | }, 1257 | { 1258 | "cell_type": "code", 1259 | "execution_count": 67, 1260 | "metadata": {}, 1261 | "outputs": [ 1262 | { 1263 | "data": { 1264 | "image/png": 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\n", 1265 | "text/plain": [ 1266 | "
" 1267 | ] 1268 | }, 1269 | "metadata": { 1270 | "needs_background": "light" 1271 | }, 1272 | "output_type": "display_data" 1273 | } 1274 | ], 1275 | "source": [ 1276 | "# Log Scale\n", 1277 | "trades1 = trades[trades['dif'] > 0.001]\n", 1278 | "\n", 1279 | "plt.hist(trades1['dif'],100)\n", 1280 | "plt.yscale('log')\n", 1281 | "plt.title('Histogram - Log-scale')\n", 1282 | "plt.xlabel('Trade durations')\n", 1283 | "plt.ylabel('Occurences')\n", 1284 | "plt.yscale('log')\n", 1285 | "plt.grid(True)\n", 1286 | "plt.show()\n" 1287 | ] 1288 | }, 1289 | { 1290 | "cell_type": "code", 1291 | "execution_count": 68, 1292 | "metadata": {}, 1293 | "outputs": [ 1294 | { 1295 | "data": { 1296 | "image/png": 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\n", 1297 | "text/plain": [ 1298 | "
" 1299 | ] 1300 | }, 1301 | "metadata": { 1302 | "needs_background": "light" 1303 | }, 1304 | "output_type": "display_data" 1305 | } 1306 | ], 1307 | "source": [ 1308 | "# Fitting an exponential distribution\n", 1309 | "graph_duration = sns.distplot(trades1['dif'], fit = expon)\n", 1310 | "plt.title('Histogramme + Exponential distribution fitted')\n", 1311 | "plt.xlabel('Trade durations')\n", 1312 | "plt.ylabel('Occurences')\n", 1313 | "plt.grid(True)\n", 1314 | "plt.show()" 1315 | ] 1316 | }, 1317 | { 1318 | "cell_type": "code", 1319 | "execution_count": 69, 1320 | "metadata": {}, 1321 | "outputs": [ 1322 | { 1323 | "data": { 1324 | "image/png": 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\n", 1325 | "text/plain": [ 1326 | "
" 1327 | ] 1328 | }, 1329 | "metadata": { 1330 | "needs_background": "light" 1331 | }, 1332 | "output_type": "display_data" 1333 | } 1334 | ], 1335 | "source": [ 1336 | "graph_duration = sns.distplot(trades1['dif'], fit = expon)\n", 1337 | "graph_duration.set_yscale('log')\n", 1338 | "plt.title('Histogramme - Log- scale - + Exponential distribution fitted')\n", 1339 | "plt.xlabel('Trade durations')\n", 1340 | "plt.ylabel('Occurences')\n", 1341 | "plt.grid(True)\n", 1342 | "plt.show()" 1343 | ] 1344 | }, 1345 | { 1346 | "cell_type": "markdown", 1347 | "metadata": {}, 1348 | "source": [ 1349 | "## 3.2. Trade sizes" 1350 | ] 1351 | }, 1352 | { 1353 | "cell_type": "code", 1354 | "execution_count": 74, 1355 | "metadata": {}, 1356 | "outputs": [ 1357 | { 1358 | "name": "stdout", 1359 | "output_type": "stream", 1360 | "text": [ 1361 | "Max size: 19530.0\n", 1362 | "Min size: 1.0\n", 1363 | "Mean size: 212.51439302392802\n" 1364 | ] 1365 | } 1366 | ], 1367 | "source": [ 1368 | "# Some statistics about trade sizes\n", 1369 | "\n", 1370 | "print('Max size:', trades['lastQ'].max())\n", 1371 | "print('Min size:', trades['lastQ'].min())\n", 1372 | "print('Mean size:', trades['lastQ'].mean())" 1373 | ] 1374 | }, 1375 | { 1376 | "cell_type": "code", 1377 | "execution_count": 70, 1378 | "metadata": {}, 1379 | "outputs": [ 1380 | { 1381 | "data": { 1382 | "image/png": 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\n", 1383 | "text/plain": [ 1384 | "
" 1385 | ] 1386 | }, 1387 | "metadata": { 1388 | "needs_background": "light" 1389 | }, 1390 | "output_type": "display_data" 1391 | } 1392 | ], 1393 | "source": [ 1394 | "# Plotting an histogram of the trade sizes\n", 1395 | "plt.hist(trades['lastQ'],200)\n", 1396 | "plt.title('Histogramme - Trade sizes')\n", 1397 | "plt.xlabel('Trade sizes')\n", 1398 | "plt.ylabel('Occurences')\n", 1399 | "plt.grid(True)\n", 1400 | "plt.show()\n" 1401 | ] 1402 | }, 1403 | { 1404 | "cell_type": "code", 1405 | "execution_count": 71, 1406 | "metadata": {}, 1407 | "outputs": [ 1408 | { 1409 | "data": { 1410 | "image/png": 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\n", 1411 | "text/plain": [ 1412 | "
" 1413 | ] 1414 | }, 1415 | "metadata": { 1416 | "needs_background": "light" 1417 | }, 1418 | "output_type": "display_data" 1419 | } 1420 | ], 1421 | "source": [ 1422 | "plt.hist(trades['lastQ'],200)\n", 1423 | "plt.yscale('log')\n", 1424 | "plt.yscale('log')\n", 1425 | "plt.title('Histogramme - Log-scale - Trade sizes')\n", 1426 | "plt.xlabel('Trade sizes')\n", 1427 | "plt.ylabel('Occurences')\n", 1428 | "plt.grid(True)\n", 1429 | "plt.show()" 1430 | ] 1431 | }, 1432 | { 1433 | "cell_type": "code", 1434 | "execution_count": 73, 1435 | "metadata": {}, 1436 | "outputs": [ 1437 | { 1438 | "data": { 1439 | "image/png": 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\n", 1440 | "text/plain": [ 1441 | "
" 1442 | ] 1443 | }, 1444 | "metadata": { 1445 | "needs_background": "light" 1446 | }, 1447 | "output_type": "display_data" 1448 | } 1449 | ], 1450 | "source": [ 1451 | "# Trades sizes\n", 1452 | "graph_trades = sns.distplot(trades['lastQ'], fit = expon)\n", 1453 | "plt.title('Histogramme - Trade sizes + Exp. Distrib. Fitted ')\n", 1454 | "plt.xlabel('Trade sizes')\n", 1455 | "plt.ylabel('Occurences')\n", 1456 | "plt.grid(True)\n", 1457 | "plt.show()" 1458 | ] 1459 | }, 1460 | { 1461 | "cell_type": "code", 1462 | "execution_count": 50, 1463 | "metadata": {}, 1464 | "outputs": [ 1465 | { 1466 | "data": { 1467 | "image/png": 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\n", 1468 | "text/plain": [ 1469 | "
" 1470 | ] 1471 | }, 1472 | "metadata": { 1473 | "needs_background": "light" 1474 | }, 1475 | "output_type": "display_data" 1476 | } 1477 | ], 1478 | "source": [ 1479 | "# Plotting the empirical distribution and fitting an exponential distribution\n", 1480 | "graph_trades = sns.distplot(trades['lastQ'], fit = expon)\n", 1481 | "graph_trades.set_yscale('log')\n", 1482 | "plt.title('Histogramme - Log-scale - Trade sizes + Exp. Distrib. Fitted ')\n", 1483 | "plt.xlabel('Trade sizes')\n", 1484 | "plt.ylabel('Occurences')\n", 1485 | "plt.show()" 1486 | ] 1487 | }, 1488 | { 1489 | "cell_type": "markdown", 1490 | "metadata": {}, 1491 | "source": [ 1492 | "Durations are, in average, short. \n", 1493 | "\n", 1494 | "Trade sizes are more important, in average.\n", 1495 | "\n", 1496 | "For more informations, look at the statistics edited for each stock." 1497 | ] 1498 | }, 1499 | { 1500 | "cell_type": "markdown", 1501 | "metadata": {}, 1502 | "source": [ 1503 | "# 3.3 Intraday activity." 1504 | ] 1505 | }, 1506 | { 1507 | "cell_type": "markdown", 1508 | "metadata": {}, 1509 | "source": [ 1510 | "**EDF intraday activity.**" 1511 | ] 1512 | }, 1513 | { 1514 | "cell_type": "code", 1515 | "execution_count": 99, 1516 | "metadata": {}, 1517 | "outputs": [], 1518 | "source": [ 1519 | "df = edf_trades[0]\n", 1520 | "df['ts_delta'] = df['ts_delta'] + df['date_delta']" 1521 | ] 1522 | }, 1523 | { 1524 | "cell_type": "code", 1525 | "execution_count": 100, 1526 | "metadata": {}, 1527 | "outputs": [], 1528 | "source": [ 1529 | "t = df.set_index('ts_delta').groupby(pd.Grouper(freq = '2Min')).count()" 1530 | ] 1531 | }, 1532 | { 1533 | "cell_type": "code", 1534 | "execution_count": 101, 1535 | "metadata": { 1536 | "scrolled": true 1537 | }, 1538 | "outputs": [ 1539 | { 1540 | "data": { 1541 | "image/png": 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\n", 1542 | "text/plain": [ 1543 | "
" 1544 | ] 1545 | }, 1546 | "metadata": { 1547 | "needs_background": "light" 1548 | }, 1549 | "output_type": "display_data" 1550 | } 1551 | ], 1552 | "source": [ 1553 | "plt.plot(t['date_delta'])\n", 1554 | "xfmt = md.DateFormatter('%H:%M:%S')\n", 1555 | "ax = plt.gca()\n", 1556 | "plt.title('Intraday activity - EDF')\n", 1557 | "ax.xaxis.set_major_formatter(xfmt)" 1558 | ] 1559 | }, 1560 | { 1561 | "cell_type": "markdown", 1562 | "metadata": {}, 1563 | "source": [ 1564 | "**Renault intraday activity.**" 1565 | ] 1566 | }, 1567 | { 1568 | "cell_type": "code", 1569 | "execution_count": 102, 1570 | "metadata": {}, 1571 | "outputs": [], 1572 | "source": [ 1573 | "df = renault_trades[0]\n", 1574 | "df['ts_delta'] = df['ts_delta'] + df['date_delta']" 1575 | ] 1576 | }, 1577 | { 1578 | "cell_type": "code", 1579 | "execution_count": 103, 1580 | "metadata": {}, 1581 | "outputs": [], 1582 | "source": [ 1583 | "t = df.set_index('ts_delta').groupby(pd.Grouper(freq = '2Min')).count()" 1584 | ] 1585 | }, 1586 | { 1587 | "cell_type": "code", 1588 | "execution_count": 104, 1589 | "metadata": {}, 1590 | "outputs": [ 1591 | { 1592 | "data": { 1593 | "image/png": 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\n", 1594 | "text/plain": [ 1595 | "
" 1596 | ] 1597 | }, 1598 | "metadata": { 1599 | "needs_background": "light" 1600 | }, 1601 | "output_type": "display_data" 1602 | } 1603 | ], 1604 | "source": [ 1605 | "plt.plot(t['date_delta'])\n", 1606 | "xfmat = md.DateFormatter('%H:%M:%S')\n", 1607 | "ax = plt.gca()\n", 1608 | "plt.title('Intraday activity - Renault')\n", 1609 | "ax.xaxis.set_major_formatter(xfmt)" 1610 | ] 1611 | }, 1612 | { 1613 | "cell_type": "markdown", 1614 | "metadata": {}, 1615 | "source": [ 1616 | "**Total intraday activity.**" 1617 | ] 1618 | }, 1619 | { 1620 | "cell_type": "code", 1621 | "execution_count": 105, 1622 | "metadata": {}, 1623 | "outputs": [], 1624 | "source": [ 1625 | "df = total_trades[0]\n", 1626 | "df['ts_delta'] = df['ts_delta'] + df['date_delta']" 1627 | ] 1628 | }, 1629 | { 1630 | "cell_type": "code", 1631 | "execution_count": 106, 1632 | "metadata": {}, 1633 | "outputs": [], 1634 | "source": [ 1635 | "t = df.set_index('ts_delta').groupby(pd.Grouper(freq = '2Min')).count()" 1636 | ] 1637 | }, 1638 | { 1639 | "cell_type": "code", 1640 | "execution_count": 108, 1641 | "metadata": {}, 1642 | "outputs": [ 1643 | { 1644 | "data": { 1645 | "image/png": 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\n", 1646 | "text/plain": [ 1647 | "
" 1648 | ] 1649 | }, 1650 | "metadata": { 1651 | "needs_background": "light" 1652 | }, 1653 | "output_type": "display_data" 1654 | } 1655 | ], 1656 | "source": [ 1657 | "plt.plot(t['date_delta'])\n", 1658 | "xfmat = md.DateFormatter('%H:%M:%S')\n", 1659 | "ax = plt.gca()\n", 1660 | "plt.title('Intraday activity - Total')\n", 1661 | "ax.xaxis.set_major_formatter(xfmt)" 1662 | ] 1663 | }, 1664 | { 1665 | "cell_type": "markdown", 1666 | "metadata": {}, 1667 | "source": [ 1668 | "Intraday activities are quite different between the the 3 stocks. The most traded one seems to be Total, the second one is Renault and the last one is EDF." 1669 | ] 1670 | }, 1671 | { 1672 | "cell_type": "markdown", 1673 | "metadata": {}, 1674 | "source": [ 1675 | "# 4. Descriptive statistics using the quote files" 1676 | ] 1677 | }, 1678 | { 1679 | "cell_type": "markdown", 1680 | "metadata": {}, 1681 | "source": [ 1682 | "## 4.1. Spread distribution" 1683 | ] 1684 | }, 1685 | { 1686 | "cell_type": "markdown", 1687 | "metadata": {}, 1688 | "source": [ 1689 | "**EDF.**" 1690 | ] 1691 | }, 1692 | { 1693 | "cell_type": "code", 1694 | "execution_count": 115, 1695 | "metadata": {}, 1696 | "outputs": [], 1697 | "source": [ 1698 | "l_spread = []\n", 1699 | "for i in range(len(edf_quotes)):\n", 1700 | " quotes = edf_quotes[i]\n", 1701 | " quotes_best = quotes[quotes['level'] == 1]\n", 1702 | " quotes_best = quotes_best.reset_index()\n", 1703 | " del quotes_best['index']\n", 1704 | " ask = 0\n", 1705 | " bid = 0 \n", 1706 | " spread = np.zeros(len(quotes_best))\n", 1707 | " for j in range(len(quotes_best)):\n", 1708 | " if quotes_best['type'][j] == 'A':\n", 1709 | " ask = quotes_best['price'][j]\n", 1710 | " else:\n", 1711 | " bid = quotes_best['price'][j]\n", 1712 | " if (ask!=0) & (bid!=0):\n", 1713 | " spread[j] = ask - bid\n", 1714 | " spread = spread[spread!=0]\n", 1715 | " l_spread.append(spread)\n", 1716 | "\n", 1717 | "l = []\n", 1718 | "for elem in l_spread:\n", 1719 | " for think in elem:\n", 1720 | " l.append(think)" 1721 | ] 1722 | }, 1723 | { 1724 | "cell_type": "code", 1725 | "execution_count": 116, 1726 | "metadata": {}, 1727 | "outputs": [ 1728 | { 1729 | "data": { 1730 | "image/png": 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\n", 1731 | "text/plain": [ 1732 | "
" 1733 | ] 1734 | }, 1735 | "metadata": { 1736 | "needs_background": "light" 1737 | }, 1738 | "output_type": "display_data" 1739 | }, 1740 | { 1741 | "name": "stdout", 1742 | "output_type": "stream", 1743 | "text": [ 1744 | "Comment: mean of the spread distribution is: 0.012913529936582149\n" 1745 | ] 1746 | } 1747 | ], 1748 | "source": [ 1749 | "plt.hist(l,40)\n", 1750 | "plt.title('Spread distribution - EDF')\n", 1751 | "plt.xlabel('Spread')\n", 1752 | "plt.ylabel('Occurences')\n", 1753 | "plt.grid(True)\n", 1754 | "plt.show()\n", 1755 | "print('Comment: mean of the spread distribution is:', np.mean(l))" 1756 | ] 1757 | }, 1758 | { 1759 | "cell_type": "markdown", 1760 | "metadata": {}, 1761 | "source": [ 1762 | "## In calendar time" 1763 | ] 1764 | }, 1765 | { 1766 | "cell_type": "code", 1767 | "execution_count": 117, 1768 | "metadata": {}, 1769 | "outputs": [ 1770 | { 1771 | "data": { 1772 | "text/html": [ 1773 | "
\n", 1774 | "\n", 1787 | "\n", 1788 | " \n", 1789 | " \n", 1790 | " \n", 1791 | " \n", 1792 | " \n", 1793 | " \n", 1794 | " \n", 1795 | " \n", 1796 | " \n", 1797 | " \n", 1798 | " \n", 1799 | " \n", 1800 | " \n", 1801 | " \n", 1802 | " \n", 1803 | " \n", 1804 | " \n", 1805 | " \n", 1806 | " \n", 1807 | " \n", 1808 | " \n", 1809 | " \n", 1810 | " \n", 1811 | " \n", 1812 | " \n", 1813 | " \n", 1814 | " \n", 1815 | " \n", 1816 | " \n", 1817 | " \n", 1818 | " \n", 1819 | " \n", 1820 | " \n", 1821 | " \n", 1822 | " \n", 1823 | " \n", 1824 | " \n", 1825 | " \n", 1826 | " \n", 1827 | " \n", 1828 | " \n", 1829 | " \n", 1830 | " \n", 1831 | " \n", 1832 | " \n", 1833 | " \n", 1834 | " \n", 1835 | " \n", 1836 | " \n", 1837 | " \n", 1838 | " \n", 1839 | " \n", 1840 | " \n", 1841 | " \n", 1842 | " \n", 1843 | " \n", 1844 | " \n", 1845 | " \n", 1846 | " \n", 1847 | " \n", 1848 | " \n", 1849 | " \n", 1850 | " \n", 1851 | " \n", 1852 | " \n", 1853 | " \n", 1854 | " \n", 1855 | " \n", 1856 | " \n", 1857 | " \n", 1858 | "
date_xltstypelevelpriceqtydate_deltats_delta
042277.032428.358B115.665837.02015-10-0209:00:28.358000
142277.032428.378B115.6651287.02015-10-0209:00:28.378000
242277.032428.447B115.670568.02015-10-0209:00:28.447000
342277.032428.508B115.6651287.02015-10-0209:00:28.508000
442277.032429.545B115.6651172.02015-10-0209:00:29.545000
\n", 1859 | "
" 1860 | ], 1861 | "text/plain": [ 1862 | " date_xl ts type level price qty date_delta ts_delta\n", 1863 | "0 42277.0 32428.358 B 1 15.665 837.0 2015-10-02 09:00:28.358000\n", 1864 | "1 42277.0 32428.378 B 1 15.665 1287.0 2015-10-02 09:00:28.378000\n", 1865 | "2 42277.0 32428.447 B 1 15.670 568.0 2015-10-02 09:00:28.447000\n", 1866 | "3 42277.0 32428.508 B 1 15.665 1287.0 2015-10-02 09:00:28.508000\n", 1867 | "4 42277.0 32429.545 B 1 15.665 1172.0 2015-10-02 09:00:29.545000" 1868 | ] 1869 | }, 1870 | "execution_count": 117, 1871 | "metadata": {}, 1872 | "output_type": "execute_result" 1873 | } 1874 | ], 1875 | "source": [ 1876 | "quotes_best.head()" 1877 | ] 1878 | }, 1879 | { 1880 | "cell_type": "code", 1881 | "execution_count": 118, 1882 | "metadata": {}, 1883 | "outputs": [], 1884 | "source": [ 1885 | "l_spread = []\n", 1886 | "for i in range(len(edf_quotes)):\n", 1887 | " quotes = edf_quotes[i]\n", 1888 | " quotes_best = quotes[quotes['level'] == 1]\n", 1889 | " quotes_best = quotes_best.reset_index()\n", 1890 | " del quotes_best['index']\n", 1891 | " ask = 0\n", 1892 | " bid = 0 \n", 1893 | " spread = np.zeros(len(quotes_best))\n", 1894 | " for j in range(len(quotes_best)):\n", 1895 | " if quotes_best['type'][j] == 'A':\n", 1896 | " ask = quotes_best['price'][j]\n", 1897 | " ask_time = quotes_best['ts_delta'][j]\n", 1898 | " else:\n", 1899 | " bid = quotes_best['price'][j]\n", 1900 | " bid_time = quotes_best['ts_delta'][j]\n", 1901 | " if (ask!=0) & (bid!=0):\n", 1902 | " spread[j] = np.absolute((ask - bid)*(ask_time-bid_time).total_seconds())\n", 1903 | " spread = spread[spread!=0]\n", 1904 | " l_spread.append(spread)\n", 1905 | "\n", 1906 | "l = []\n", 1907 | "for elem in l_spread:\n", 1908 | " for think in elem:\n", 1909 | " l.append(think)" 1910 | ] 1911 | }, 1912 | { 1913 | "cell_type": "code", 1914 | "execution_count": 119, 1915 | "metadata": {}, 1916 | "outputs": [ 1917 | { 1918 | "data": { 1919 | "image/png": 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\n", 1920 | "text/plain": [ 1921 | "
" 1922 | ] 1923 | }, 1924 | "metadata": { 1925 | "needs_background": "light" 1926 | }, 1927 | "output_type": "display_data" 1928 | }, 1929 | { 1930 | "name": "stdout", 1931 | "output_type": "stream", 1932 | "text": [ 1933 | "Comment: mean of the spread distribution is: 0.032168863774575465\n" 1934 | ] 1935 | } 1936 | ], 1937 | "source": [ 1938 | "plt.hist(l,100)\n", 1939 | "plt.title('Spread distribution - EDF - calendar time')\n", 1940 | "plt.xlabel('Spread')\n", 1941 | "plt.ylabel('Occurences')\n", 1942 | "plt.grid(True)\n", 1943 | "plt.show()\n", 1944 | "print('Comment: mean of the spread distribution is:', np.mean(l))" 1945 | ] 1946 | }, 1947 | { 1948 | "cell_type": "markdown", 1949 | "metadata": {}, 1950 | "source": [ 1951 | "# Renault" 1952 | ] 1953 | }, 1954 | { 1955 | "cell_type": "code", 1956 | "execution_count": 120, 1957 | "metadata": {}, 1958 | "outputs": [], 1959 | "source": [ 1960 | "l_spread = []\n", 1961 | "for i in range(len(renault_quotes)):\n", 1962 | " quotes = renault_quotes[i]\n", 1963 | " quotes_best = quotes[quotes['level'] == 1]\n", 1964 | " quotes_best = quotes_best.reset_index()\n", 1965 | " del quotes_best['index']\n", 1966 | " ask = 0\n", 1967 | " bid = 0 \n", 1968 | " spread = np.zeros(len(quotes_best))\n", 1969 | " for j in range(len(quotes_best)):\n", 1970 | " if quotes_best['type'][j] == 'A':\n", 1971 | " ask = quotes_best['price'][j]\n", 1972 | " else:\n", 1973 | " bid = quotes_best['price'][j]\n", 1974 | " if (ask!=0) & (bid!=0):\n", 1975 | " spread[j] = ask - bid\n", 1976 | " spread = spread[spread!=0]\n", 1977 | " l_spread.append(spread)\n", 1978 | "\n", 1979 | "l = []\n", 1980 | "for elem in l_spread:\n", 1981 | " for think in elem:\n", 1982 | " l.append(think)" 1983 | ] 1984 | }, 1985 | { 1986 | "cell_type": "code", 1987 | "execution_count": 121, 1988 | "metadata": {}, 1989 | "outputs": [ 1990 | { 1991 | "data": { 1992 | "image/png": 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\n", 1993 | "text/plain": [ 1994 | "
" 1995 | ] 1996 | }, 1997 | "metadata": { 1998 | "needs_background": "light" 1999 | }, 2000 | "output_type": "display_data" 2001 | }, 2002 | { 2003 | "name": "stdout", 2004 | "output_type": "stream", 2005 | "text": [ 2006 | "Comment: mean of the spread distribution is: 0.04096194986501571\n" 2007 | ] 2008 | } 2009 | ], 2010 | "source": [ 2011 | "plt.hist(l,40)\n", 2012 | "plt.title('Spread distribution - Renault')\n", 2013 | "plt.xlabel('Spread')\n", 2014 | "plt.ylabel('Occurences')\n", 2015 | "plt.grid(True)\n", 2016 | "plt.show()\n", 2017 | "print('Comment: mean of the spread distribution is:', np.mean(l))" 2018 | ] 2019 | }, 2020 | { 2021 | "cell_type": "code", 2022 | "execution_count": 122, 2023 | "metadata": {}, 2024 | "outputs": [], 2025 | "source": [ 2026 | "l_spread = []\n", 2027 | "for i in range(len(renault_quotes)):\n", 2028 | " quotes = renault_quotes[i]\n", 2029 | " quotes_best = quotes[quotes['level'] == 1]\n", 2030 | " quotes_best = quotes_best.reset_index()\n", 2031 | " del quotes_best['index']\n", 2032 | " ask = 0\n", 2033 | " bid = 0 \n", 2034 | " spread = np.zeros(len(quotes_best))\n", 2035 | " for j in range(len(quotes_best)):\n", 2036 | " if quotes_best['type'][j] == 'A':\n", 2037 | " ask = quotes_best['price'][j]\n", 2038 | " ask_time=quotes_best['ts_delta'][j]\n", 2039 | " else:\n", 2040 | " bid = quotes_best['price'][j]\n", 2041 | " bid_time=quotes_best['ts_delta'][j]\n", 2042 | " if (ask!=0) & (bid!=0):\n", 2043 | " spread[j] = np.absolute((ask - bid)*(ask_time-bid_time).total_seconds())\n", 2044 | " spread = spread[spread!=0]\n", 2045 | " l_spread.append(spread)\n", 2046 | "\n", 2047 | "l = []\n", 2048 | "for elem in l_spread:\n", 2049 | " for think in elem:\n", 2050 | " l.append(think)" 2051 | ] 2052 | }, 2053 | { 2054 | "cell_type": "code", 2055 | "execution_count": 125, 2056 | "metadata": {}, 2057 | "outputs": [ 2058 | { 2059 | "data": { 2060 | "image/png": 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\n", 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" 2063 | ] 2064 | }, 2065 | "metadata": { 2066 | "needs_background": "light" 2067 | }, 2068 | "output_type": "display_data" 2069 | }, 2070 | { 2071 | "name": "stdout", 2072 | "output_type": "stream", 2073 | "text": [ 2074 | "Comment: mean of the spread distribution is: 0.041399577414395705\n" 2075 | ] 2076 | } 2077 | ], 2078 | "source": [ 2079 | "plt.hist(l,100)\n", 2080 | "plt.title('Spread distribution - Renault - calendar time')\n", 2081 | "plt.xlabel('Spread')\n", 2082 | "plt.ylabel('Occurences')\n", 2083 | "plt.grid(True)\n", 2084 | "plt.show()\n", 2085 | "print('Comment: mean of the spread distribution is:', np.mean(l))" 2086 | ] 2087 | }, 2088 | { 2089 | "cell_type": "markdown", 2090 | "metadata": {}, 2091 | "source": [ 2092 | "# Total" 2093 | ] 2094 | }, 2095 | { 2096 | "cell_type": "code", 2097 | "execution_count": 129, 2098 | "metadata": {}, 2099 | "outputs": [], 2100 | "source": [ 2101 | "l_spread = []\n", 2102 | "for i in range(len(total_quotes)):\n", 2103 | " quotes = total_quotes[i]\n", 2104 | " quotes_best = quotes[quotes['level'] == 1]\n", 2105 | " quotes_best = quotes_best.reset_index()\n", 2106 | " del quotes_best['index']\n", 2107 | " ask = 0\n", 2108 | " bid = 0 \n", 2109 | " spread = np.zeros(len(quotes_best))\n", 2110 | " for j in range(len(quotes_best)):\n", 2111 | " if quotes_best['type'][j] == 'A':\n", 2112 | " ask = quotes_best['price'][j]\n", 2113 | " else:\n", 2114 | " bid = quotes_best['price'][j]\n", 2115 | " if (ask!=0) & (bid!=0):\n", 2116 | " spread[j] = ask - bid\n", 2117 | " spread = spread[spread!=0]\n", 2118 | " l_spread.append(spread)\n", 2119 | "\n", 2120 | "l = []\n", 2121 | "for elem in l_spread:\n", 2122 | " for think in elem:\n", 2123 | " l.append(think)" 2124 | ] 2125 | }, 2126 | { 2127 | "cell_type": "code", 2128 | "execution_count": 130, 2129 | "metadata": {}, 2130 | "outputs": [ 2131 | { 2132 | "data": { 2133 | "image/png": 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\n", 2134 | "text/plain": [ 2135 | "
" 2136 | ] 2137 | }, 2138 | "metadata": { 2139 | "needs_background": "light" 2140 | }, 2141 | "output_type": "display_data" 2142 | }, 2143 | { 2144 | "name": "stdout", 2145 | "output_type": "stream", 2146 | "text": [ 2147 | "Comment: mean of the spread distribution is: 0.01239783190116231\n" 2148 | ] 2149 | } 2150 | ], 2151 | "source": [ 2152 | "plt.hist(l,40)\n", 2153 | "plt.title('Spread distribution - Total')\n", 2154 | "plt.xlabel('Spread')\n", 2155 | "plt.ylabel('Occurences')\n", 2156 | "plt.grid(True)\n", 2157 | "plt.show()\n", 2158 | "print('Comment: mean of the spread distribution is:', np.mean(l))" 2159 | ] 2160 | }, 2161 | { 2162 | "cell_type": "code", 2163 | "execution_count": 131, 2164 | "metadata": {}, 2165 | "outputs": [], 2166 | "source": [ 2167 | "l_spread = []\n", 2168 | "for i in range(len(total_quotes)):\n", 2169 | " quotes = total_quotes[i]\n", 2170 | " quotes_best = quotes[quotes['level'] == 1]\n", 2171 | " quotes_best = quotes_best.reset_index()\n", 2172 | " del quotes_best['index']\n", 2173 | " ask = 0\n", 2174 | " bid = 0 \n", 2175 | " spread = np.zeros(len(quotes_best))\n", 2176 | " for j in range(len(quotes_best)):\n", 2177 | " if quotes_best['type'][j] == 'A':\n", 2178 | " ask = quotes_best['price'][j]\n", 2179 | " ask_time=quotes_best['ts_delta'][j]\n", 2180 | " else:\n", 2181 | " bid = quotes_best['price'][j]\n", 2182 | " bid_time=quotes_best['ts_delta'][j]\n", 2183 | " if (ask!=0) & (bid!=0):\n", 2184 | " spread[j] = np.absolute((ask - bid)*(ask_time-bid_time).total_seconds())\n", 2185 | " spread = spread[spread!=0]\n", 2186 | " l_spread.append(spread)\n", 2187 | "\n", 2188 | "l = []\n", 2189 | "for elem in l_spread:\n", 2190 | " for think in elem:\n", 2191 | " l.append(think)" 2192 | ] 2193 | }, 2194 | { 2195 | "cell_type": "code", 2196 | "execution_count": 132, 2197 | "metadata": {}, 2198 | "outputs": [ 2199 | { 2200 | "data": { 2201 | "image/png": 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\n", 2202 | "text/plain": [ 2203 | "
" 2204 | ] 2205 | }, 2206 | "metadata": { 2207 | "needs_background": "light" 2208 | }, 2209 | "output_type": "display_data" 2210 | }, 2211 | { 2212 | "name": "stdout", 2213 | "output_type": "stream", 2214 | "text": [ 2215 | "Comment: mean of the spread distribution is: 0.005344470699712605\n" 2216 | ] 2217 | } 2218 | ], 2219 | "source": [ 2220 | "plt.hist(l,40)\n", 2221 | "plt.title('Spread distribution - Total-calendar time')\n", 2222 | "plt.xlabel('Spread')\n", 2223 | "plt.ylabel('Occurences')\n", 2224 | "plt.grid(True)\n", 2225 | "plt.show()\n", 2226 | "print('Comment: mean of the spread distribution is:', np.mean(l))" 2227 | ] 2228 | }, 2229 | { 2230 | "cell_type": "markdown", 2231 | "metadata": {}, 2232 | "source": [ 2233 | "# 4.2. Average Shape of the LOB" 2234 | ] 2235 | }, 2236 | { 2237 | "cell_type": "markdown", 2238 | "metadata": {}, 2239 | "source": [ 2240 | "## EDF" 2241 | ] 2242 | }, 2243 | { 2244 | "cell_type": "code", 2245 | "execution_count": 133, 2246 | "metadata": {}, 2247 | "outputs": [ 2248 | { 2249 | "data": { 2250 | "image/png": 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\n", 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\n", 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" 2265 | ] 2266 | }, 2267 | "metadata": { 2268 | "needs_background": "light" 2269 | }, 2270 | "output_type": "display_data" 2271 | } 2272 | ], 2273 | "source": [ 2274 | "quotes = edf_quotes[0].reset_index()\n", 2275 | "del quotes['index']\n", 2276 | "\n", 2277 | "bid_price = np.zeros(10)\n", 2278 | "bid_volume = np.zeros(10)\n", 2279 | "for i in range(1,11):\n", 2280 | " level = quotes[quotes['level'] == i]\n", 2281 | " level = level[level['type'] == 'B']\n", 2282 | " bid_price[i-1] = np.mean(level['price'])\n", 2283 | " bid_volume[i-1] = np.mean(level['qty'])\n", 2284 | "\n", 2285 | "ask_price = np.zeros(10)\n", 2286 | "ask_volume = np.zeros(10)\n", 2287 | "for i in range(1,11):\n", 2288 | " level = quotes[quotes['level'] == i]\n", 2289 | " level = level[level['type'] == 'A']\n", 2290 | " ask_price[i-1] = np.mean(level['price'])\n", 2291 | " ask_volume[i-1] = np.mean(level['qty'])\n", 2292 | "\n", 2293 | "plt.bar(range(1,11),bid_volume)\n", 2294 | "\n", 2295 | "plt.bar(range(11,21),ask_volume)\n", 2296 | "\n", 2297 | "plt.title('Average shape of the LOB - EDF-event time')\n", 2298 | "\n", 2299 | "plt.show()\n", 2300 | "\n", 2301 | "bid_price = np.zeros(10)\n", 2302 | "bid_volume = np.zeros(10)\n", 2303 | "for i in range(1,11):\n", 2304 | " level = quotes[quotes['level'] == i]\n", 2305 | " level = level[level['type'] == 'B']\n", 2306 | " level = level.reset_index()\n", 2307 | " total_time=(level['ts_delta'][len(level['ts_delta'])-1]-level['ts_delta'][0])/np.timedelta64(1, 's')\n", 2308 | " bid_price[i-1] = sum(level['price'][:-1]*(np.diff(level['ts_delta'])/np.timedelta64(1, 's')))/total_time\n", 2309 | " bid_volume[i-1] = sum(level['qty'][:-1]*(np.diff(level['ts_delta'])/np.timedelta64(1, 's')))/total_time\n", 2310 | "ask_price = np.zeros(10)\n", 2311 | "ask_volume = np.zeros(10)\n", 2312 | "for i in range(1,11):\n", 2313 | " level = quotes[quotes['level'] == i]\n", 2314 | " level = level[level['type'] == 'A']\n", 2315 | " level = level.reset_index()\n", 2316 | " total_time = (level['ts_delta'][len(level['ts_delta'])-1]-level['ts_delta'][0]).total_seconds()\n", 2317 | " ask_price[i-1] = sum(level['price'][:-1]*(np.diff(level['ts_delta'])/np.timedelta64(1, 's')))/total_time\n", 2318 | " ask_volume[i-1] = sum(level['qty'][:-1]*(np.diff(level['ts_delta'])/np.timedelta64(1, 's')))/total_time\n", 2319 | "\n", 2320 | "plt.bar(range(1,11),bid_volume)\n", 2321 | "\n", 2322 | "plt.bar(range(11,21),ask_volume)\n", 2323 | "\n", 2324 | "plt.title('Average shape of the LOB - EDF-calendar time')\n", 2325 | "plt.show()" 2326 | ] 2327 | }, 2328 | { 2329 | "cell_type": "markdown", 2330 | "metadata": {}, 2331 | "source": [ 2332 | "Shapes are quite similar." 2333 | ] 2334 | }, 2335 | { 2336 | "cell_type": "markdown", 2337 | "metadata": {}, 2338 | "source": [ 2339 | "## Renault" 2340 | ] 2341 | }, 2342 | { 2343 | "cell_type": "code", 2344 | "execution_count": 134, 2345 | "metadata": {}, 2346 | "outputs": [ 2347 | { 2348 | "data": { 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\n", 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\n", 2362 | "text/plain": [ 2363 | "
" 2364 | ] 2365 | }, 2366 | "metadata": { 2367 | "needs_background": "light" 2368 | }, 2369 | "output_type": "display_data" 2370 | } 2371 | ], 2372 | "source": [ 2373 | "quotes = renault_quotes[0].reset_index()\n", 2374 | "del quotes['index']\n", 2375 | "\n", 2376 | "bid_price = np.zeros(10)\n", 2377 | "bid_volume = np.zeros(10)\n", 2378 | "for i in range(1,11):\n", 2379 | " level = quotes[quotes['level']==i]\n", 2380 | " level = level[level['type']=='B']\n", 2381 | " bid_price[i-1] = np.mean(level['price'])\n", 2382 | " bid_volume[i-1] = np.mean(level['qty'])\n", 2383 | "\n", 2384 | "ask_price = np.zeros(10)\n", 2385 | "ask_volume = np.zeros(10)\n", 2386 | "for i in range(1,11):\n", 2387 | " level = quotes[quotes['level']==i]\n", 2388 | " level = level[level['type']=='A']\n", 2389 | " ask_price[i-1] = np.mean(level['price'])\n", 2390 | " ask_volume[i-1] = np.mean(level['qty'])\n", 2391 | "\n", 2392 | "plt.bar(range(1,11),bid_volume)\n", 2393 | "\n", 2394 | "plt.bar(range(11,21),ask_volume)\n", 2395 | "\n", 2396 | "plt.title('Average shape of the LOB - Renault-event time')\n", 2397 | "\n", 2398 | "plt.show()\n", 2399 | "\n", 2400 | "bid_price = np.zeros(10)\n", 2401 | "bid_volume = np.zeros(10)\n", 2402 | "for i in range(1,11):\n", 2403 | " level = quotes[quotes['level'] == i]\n", 2404 | " level = level[level['type'] == 'B']\n", 2405 | " level = level.reset_index()\n", 2406 | " total_time = (level['ts_delta'][len(level['ts_delta'])-1]-level['ts_delta'][0])/np.timedelta64(1, 's')\n", 2407 | " bid_price[i-1] = sum(level['price'][:-1]*(np.diff(level['ts_delta'])/np.timedelta64(1, 's')))/total_time\n", 2408 | " bid_volume[i-1] = sum(level['qty'][:-1]*(np.diff(level['ts_delta'])/np.timedelta64(1, 's')))/total_time\n", 2409 | "ask_price = np.zeros(10)\n", 2410 | "ask_volume = np.zeros(10)\n", 2411 | "for i in range(1,11):\n", 2412 | " level = quotes[quotes['level'] == i]\n", 2413 | " level = level[level['type'] == 'A']\n", 2414 | " level = level.reset_index()\n", 2415 | " total_time = (level['ts_delta'][len(level['ts_delta'])-1]-level['ts_delta'][0]).total_seconds()\n", 2416 | " ask_price[i-1] = sum(level['price'][:-1]*(np.diff(level['ts_delta'])/np.timedelta64(1, 's')))/total_time\n", 2417 | " ask_volume[i-1] = sum(level['qty'][:-1]*(np.diff(level['ts_delta'])/np.timedelta64(1, 's')))/total_time\n", 2418 | "\n", 2419 | "plt.bar(range(1,11),bid_volume)\n", 2420 | "\n", 2421 | "plt.bar(range(11,21),ask_volume)\n", 2422 | "\n", 2423 | "plt.title('Average shape of the LOB - Renault-calendar time')\n", 2424 | "plt.show()" 2425 | ] 2426 | }, 2427 | { 2428 | "cell_type": "markdown", 2429 | "metadata": {}, 2430 | "source": [ 2431 | "Shapes are quite similar." 2432 | ] 2433 | }, 2434 | { 2435 | "cell_type": "markdown", 2436 | "metadata": {}, 2437 | "source": [ 2438 | "## Total" 2439 | ] 2440 | }, 2441 | { 2442 | "cell_type": "code", 2443 | "execution_count": 135, 2444 | "metadata": {}, 2445 | "outputs": [], 2446 | "source": [ 2447 | "quotes = total_quotes[0].reset_index()\n", 2448 | "del quotes['index']" 2449 | ] 2450 | }, 2451 | { 2452 | "cell_type": "code", 2453 | "execution_count": 136, 2454 | "metadata": {}, 2455 | "outputs": [], 2456 | "source": [ 2457 | "bid_price = np.zeros(10)\n", 2458 | "bid_volume = np.zeros(10)\n", 2459 | "for i in range(1,11):\n", 2460 | " level = quotes[quotes['level']==i]\n", 2461 | " level = level[level['type']=='B']\n", 2462 | " bid_price[i-1] = np.mean(level['price'])\n", 2463 | " bid_volume[i-1] = np.mean(level['qty'])" 2464 | ] 2465 | }, 2466 | { 2467 | "cell_type": "code", 2468 | "execution_count": 137, 2469 | "metadata": {}, 2470 | "outputs": [], 2471 | "source": [ 2472 | "ask_price = np.zeros(10)\n", 2473 | "ask_volume = np.zeros(10)\n", 2474 | "for i in range(1,11):\n", 2475 | " level = quotes[quotes['level']==i]\n", 2476 | " level = level[level['type']=='A']\n", 2477 | " ask_price[i-1] = np.mean(level['price'])\n", 2478 | " ask_volume[i-1] = np.mean(level['qty'])" 2479 | ] 2480 | }, 2481 | { 2482 | "cell_type": "code", 2483 | "execution_count": 138, 2484 | "metadata": {}, 2485 | "outputs": [ 2486 | { 2487 | "data": { 2488 | "text/plain": [ 2489 | "Text(0.5, 1.0, 'Average shape of the LOB - Total-event time')" 2490 | ] 2491 | }, 2492 | "execution_count": 138, 2493 | "metadata": {}, 2494 | "output_type": "execute_result" 2495 | }, 2496 | { 2497 | "data": { 2498 | "image/png": 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\n", 2499 | "text/plain": [ 2500 | "
" 2501 | ] 2502 | }, 2503 | "metadata": { 2504 | "needs_background": "light" 2505 | }, 2506 | "output_type": "display_data" 2507 | } 2508 | ], 2509 | "source": [ 2510 | "plt.bar(range(1,11),bid_volume)\n", 2511 | "\n", 2512 | "plt.bar(range(11,21),ask_volume)\n", 2513 | "\n", 2514 | "plt.title('Average shape of the LOB - Total-event time')" 2515 | ] 2516 | }, 2517 | { 2518 | "cell_type": "code", 2519 | "execution_count": 139, 2520 | "metadata": {}, 2521 | "outputs": [], 2522 | "source": [ 2523 | "bid_price = np.zeros(10)\n", 2524 | "bid_volume = np.zeros(10)\n", 2525 | "for i in range(1,11):\n", 2526 | " level = quotes[quotes['level'] == i]\n", 2527 | " level = level[level['type'] == 'B']\n", 2528 | " level = level.reset_index()\n", 2529 | " total_time = (level['ts_delta'][len(level['ts_delta'])-1]-level['ts_delta'][0])/np.timedelta64(1, 's')\n", 2530 | " bid_price[i-1] = sum(level['price'][:-1]*(np.diff(level['ts_delta'])/np.timedelta64(1, 's')))/total_time\n", 2531 | " bid_volume[i-1] = sum(level['qty'][:-1]*(np.diff(level['ts_delta'])/np.timedelta64(1, 's')))/total_time\n", 2532 | "ask_price = np.zeros(10)\n", 2533 | "ask_volume = np.zeros(10)\n", 2534 | "for i in range(1,11):\n", 2535 | " level = quotes[quotes['level'] == i]\n", 2536 | " level = level[level['type'] == 'A']\n", 2537 | " level = level.reset_index()\n", 2538 | " total_time = (level['ts_delta'][len(level['ts_delta'])-1]-level['ts_delta'][0]).total_seconds()\n", 2539 | " ask_price[i-1] = sum(level['price'][:-1]*(np.diff(level['ts_delta'])/np.timedelta64(1, 's')))/total_time\n", 2540 | " ask_volume[i-1] = sum(level['qty'][:-1]*(np.diff(level['ts_delta'])/np.timedelta64(1, 's')))/total_time" 2541 | ] 2542 | }, 2543 | { 2544 | "cell_type": "code", 2545 | "execution_count": 140, 2546 | "metadata": {}, 2547 | "outputs": [ 2548 | { 2549 | "data": { 2550 | "text/plain": [ 2551 | "Text(0.5, 1.0, 'Average shape of the LOB - Total-calendar time')" 2552 | ] 2553 | }, 2554 | "execution_count": 140, 2555 | "metadata": {}, 2556 | "output_type": "execute_result" 2557 | }, 2558 | { 2559 | "data": { 2560 | "image/png": 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\n", 2561 | "text/plain": [ 2562 | "
" 2563 | ] 2564 | }, 2565 | "metadata": { 2566 | "needs_background": "light" 2567 | }, 2568 | "output_type": "display_data" 2569 | } 2570 | ], 2571 | "source": [ 2572 | "plt.bar(range(1,11),bid_volume)\n", 2573 | "\n", 2574 | "plt.bar(range(11,21),ask_volume)\n", 2575 | "\n", 2576 | "plt.title('Average shape of the LOB - Total-calendar time')" 2577 | ] 2578 | }, 2579 | { 2580 | "cell_type": "markdown", 2581 | "metadata": {}, 2582 | "source": [ 2583 | "Shapes are quite similar." 2584 | ] 2585 | }, 2586 | { 2587 | "cell_type": "markdown", 2588 | "metadata": {}, 2589 | "source": [ 2590 | "## 5 Autocorrelation of trade signs" 2591 | ] 2592 | }, 2593 | { 2594 | "cell_type": "markdown", 2595 | "metadata": {}, 2596 | "source": [ 2597 | "Signing the trades with a tick test." 2598 | ] 2599 | }, 2600 | { 2601 | "cell_type": "code", 2602 | "execution_count": 141, 2603 | "metadata": {}, 2604 | "outputs": [], 2605 | "source": [ 2606 | "test = renault_trades[0]\n", 2607 | "trades_sign = np.zeros(len(test))\n", 2608 | "ask = 0\n", 2609 | "bid = test['last'][0]\n", 2610 | "trades_sign[0] = 1\n", 2611 | "for i in range(1,len(test)):\n", 2612 | " if trades_sign[i-1] == 1:\n", 2613 | " if test['last'][i] > bid:\n", 2614 | " ask = test['last'][i]\n", 2615 | " trades_sign[i] = 1\n", 2616 | " else:\n", 2617 | " bid = test['last'][i]\n", 2618 | " trades_sign[i] =- 1\n", 2619 | " else:\n", 2620 | " if test['last'][i] < ask:\n", 2621 | " bid = test['last'][i]\n", 2622 | " trades_sign[i] =- 1\n", 2623 | " else:\n", 2624 | " ask = test['last'][i]\n", 2625 | " trades_sign[i] = 1" 2626 | ] 2627 | }, 2628 | { 2629 | "cell_type": "code", 2630 | "execution_count": 143, 2631 | "metadata": {}, 2632 | "outputs": [ 2633 | { 2634 | "data": { 2635 | "image/png": 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\n", 2636 | "text/plain": [ 2637 | "
" 2638 | ] 2639 | }, 2640 | "execution_count": 143, 2641 | "metadata": {}, 2642 | "output_type": "execute_result" 2643 | }, 2644 | { 2645 | "data": { 2646 | "image/png": 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kbh1V6aS5/9HdxMAs5s6ZfVwnjWvyZq3hsox1VLOLjrkmb9YaTu7WcY3uzZqlJu/7t5o157KMdZVmNXmXbcyy8ZG7dZVmZ7e6bGOWjZO7dZVmNXm3Uppl47KMdZ1GNwLJ0kppZj5ytx7ji5KZZePkbj3F9281y8ZlGes5jco2PrvVLOHkboXhNkmzCS7LWGG4TdJsgpO7FYbbJM0mOLlbYfjerWYTnNytMNwmaTbByd0Kw22SZhPcLWOF0qhNEtwqaf3Dyd36hlslrZ+4LGN9w62S1k+c3K1vuFXS+kmm5C7pMknbJG2XdGOd8Q9J2iLpYUlrJZ3d+lDNZsatktZPmiZ3SYPArcDlwHLgWknLa6Y9CKyMiNcDfwN8ptWBms2UWyWtn2Q5cr8A2B4RT0TECHAXcFX1hIj4XkQcSRcfABa1NkyzmXOrpPWTLN0yZwE7q5aHgQsbzL8e+N/1BiStAlYBLFmyJGOIZq3jK0pav8iS3Ov93133dvOSfgNYCfxivfGIuA24DWDlypW+Zb11DbdJWtFkKcsMA4urlhcBu2onSXob8HHgyog41prwzDrDbZJWNFmS+3pgmaRzJA0B1wCrqydIeiPwZZLE7r8G6zluk7SiaZrcI2IMuAG4F9gK3B0RmyXdIunKdNp/BeYBfy1pk6TVkzydWVdym6QVTabLD0TEGmBNzbqbqh6/rcVxmXVUpU3y/kd3EwOzmDtnttskraf5DFUz3CZpxeMLh5mlfEVJKxInd7MM3CppvcZlGbMM3CppvcbJ3SyDLK2SpXKwdusevrD2MdZu3UOp7PP0LD8uy5hlUGmVPFKV4KtbJV22sW7jI3ezDJpdUdJlG+s2Tu5mGTRrlfQZrtZtXJYxy6hRq2SWso3bKDun0f5u9rto17ad5uRu1gKNznB1Pb6zGu1voOHvol3b5vF7dlnGrAUalW1cj++sRvu72e+iXdvmwUfuZi0yWdmmUT2+Mi+vUkE3lRGqzeRnarS/I31cb+yS805v27ZZf8+t5ORu1mYzbaPMq8yQl5nsj8EBNd3fjcbauW2nyzYuy5i12UzbKPMqM+RlpuWPRvu72e+iXdtmibvVnNzN2mymbZSNxtu5bV5m8jNB4/3d7HfRrm2zxN1qLsuYdcBM2ijzKjNAPp8FzHR/NNvfza7+2a5ts8TdSk7uZjlrdqOQZuPt2javzwJmuj+6VafjdlnGLGd5lQqabZvXZwEzLX90q07H7SN363kRkX6HIPkiYKxUJsbnpN8JyunCi6OlqudIvlfGjoyMnTAGjF/p8fljE+PVcVTGD784esJ4ZexQnTGAOfsfZ2j/46xc+qm6zz/UYHx87OxP8fyLDbatMz7Z2MYnD9StEf/wyQP83Nkvbzg+WdvgxicPcP6Sl7NhR/1tK+MAQ88+ztCzj3P+kls4dPTEfVYZf+OSW3iuzvhYKdnf+18YmXTs2eePnTAGMFoqHzcedcaeabLtvsP1x+fsf3zSsk4rObn3uUoiPDZWIiJJbuX0e5Qn/gieef5YkviC8fFjY8n/xDv3H0nmp8m18vjoaAkCtj19mCAdjyTBvpAmpx8NPzcxVokpguePjREBG5/cX5WY0+0jxhPk/Y8/e8LPdDj9Q1+/40Ddn7mSwB786cFJxx7a+VzdbavjbjT+yFMnfkhWGdtcZ6x6fLIP2I40GB8f291k2zrjk42dPDSLoVkD479ngKFZA8wdmsXW3Ycbjlce146dPDSLHz99mHlz6m9bGYeJN9jK8glxp+PbpjFeGXt0z/N1t6288dQbr4w91mTb7Xvrj4+MlU+4GXs7OLn3iIjkSLNUDkoRlMvBWDn5PjKWHKH+9NkjyVg6XorghZExCHho58HjEne5nDyuJMIfPnliooOJP4J6/yMfS498hw8crbvtaPqHW+/IqdERMEA5HR8Zm+Sa6L5UetutWDyfc0+bx+afPgODs5gzexbnnjaPFYvnZxqfybY2c07uHVSO5Ih1rByMlcqUysFoOSiVYvwod8uuQ5QjSdylcpmxUoz/k7TekSZMlBeeOnhiki2VKmWG0gljZo0MDIiPXX4e7/u9D1Oadzo3vH8VKxbPZyCtETcbn8m2NnNO7tNULgej5TKjpWB0rMxoqUw5YMczLzCWrh8rJXOqE/TDk/xzvnKUW692aJaXgQEx9Ox2eHY755/9kSmNz2Rbmzkn9zrK5aSePDJW5thYiWNjZY6NlTkyUqIcwfod+8dr0RWVOtvu517MI2Qzs+P0dXIfLSUJ++hIiSMjY7xwbIxywLqf7K87fyz9FLw2sZuZdZu+Se5jpTKHXhxLPpSMYMOO/YzWJGnf0NjMiqKwyb1cDg4fG+PQ0VGeOzo63lo3kta2axO7mVmRFC65V/qrNzx5wEfiZta3Ml1+QNJlkrZJ2i7pxjrjcyR9Kx1fJ2lpqwOdikqboZlZv2qa3CUNArcClwPLgWslLa+Zdj1wICLOBT4H/EmrAzUzs+wU0fgIV9JFwM0R8Svp8kcBIuKPq+bcm865X9Is4GlgYTR48lPPPi8u/djtUw5400ObAFjxhhX1xzdtolQOli1/Xd3xx7Y8AlB3vNFYO7d1XI4rz+d2XJ2Na/vWzQwMTJ7Dmrn7/f9yY0SsbDYvS3K/GrgsIn4rXX4XcGFE3FA155F0znC6/Hg655ma51oFrAKYd8arf+6KT945tZ8qgwg4fMwnAplZd5o9OMBJs6d/bZmsyT3LB6r1zgeufUfIMoeIuA24DWDlypXxrfddlOHlp2ZkrMzGJ+tfMMrMLG8L5g2x7PRTpr393e/PNi/LB6rDwOKq5UXArsnmpGWZlwH1zwQyM7O2y5Lc1wPLJJ0jaQi4BlhdM2c1cF36+Grgu43q7e00e1AsP+OlnDX/JObNmYV8HSIz60NNyzIRMSbpBuBeYBC4PSI2S7oF2BARq4GvAHdK2k5yxH5NO4NuRBIvmzubl82dDSSXGKicyPTc0VFeHC03eQYzs96X6SSmiFgDrKlZd1PV4xeBf9Pa0Fpj9uAAr5g3h1fMmwMkl8c9OlLiyGiJoyNj49eWcVu8mRVJ4c5QbeYlswd5yexBXl61LtK7Ch0ZKXF0tDR+NciR9GqQvlCYmfWavkvu9UgaT/r1jJXKjJTKHBtNrts+Uqpcr33i8WjJbwJm1j2c3DOYNTjArMEB5g41nle5gcdYzY06RkvJm0KpHMmbQrmc3o0pfJkEM2sLJ/cWGhgQcwYGmTOFvRqRJPxSOUn6pXLlFnsTX5Vb7pXKTKyP5Hs5/Z5Pb5KZdSsn95xJYmhWpV9z+metVSf6ie+M3yg7uSl2enPs2seRvMmM3zw7kjeL6htqR9Wcyncz615O7gUxOCAGETM4q3nKyuUgqEr6VN4EJh6XozIHqJ5DMgYT89P/JpbHHyevUVk+7nvV85HOm3hcifT45+KE8eNfj0nmVM9rNGeqZrJ9vXg68bonxtE50z2FZqpbZX+Z7M8ckfytdoKTu03bxJ3qfaaYWbfJdD13MzPrLU7uZmYF5ORuZlZATu5mZgXk5G5mVkBO7mZmBeTkbmZWQE7uZmYF5ORuZlZAyulueEjaBzw5zc0XAM+0MJxWcVxT47imrltjc1xTM5O4zo6Ihc0m5ZbcZ0LShohYmXcctRzX1DiuqevW2BzX1HQiLpdlzMwKyMndzKyAejW535Z3AJNwXFPjuKauW2NzXFPT9rh6suZuZmaN9eqRu5mZNeDkbmZWQD2X3CVdJmmbpO2Sbsw7ngpJOyT9SNImSRtyjON2SXslPVK17lRJ35H0WPr95V0S182Snkr32SZJV+QQ12JJ35O0VdJmSb+Xrs91nzWIK9d9Juklkn4g6aE0rj9M158jaV26v74laahL4rpD0k+q9teKTsZVFd+gpAcl3ZMut39/RUTPfJHcQfpx4FXAEPAQsDzvuNLYdgALuiCOtwDnA49UrfsMcGP6+EbgT7okrpuB3895f50BnJ8+PgV4FFie9z5rEFeu+4zknorz0sezgXXAm4C7gWvS9X8G/HaXxHUHcHWe/4+lMX0I+AZwT7rc9v3Va0fuFwDbI+KJiBgB7gKuyjmmrhIR3wf216y+Cvha+vhrwK91NCgmjSt3EbE7In6YPj4MbAXOIud91iCuXEXi+XRxdvoVwFuBv0nX57G/Josrd5IWAb8K/EW6LDqwv3otuZ8F7KxaHqYL/odPBfBtSRslrco7mBqnR8RuSJIGcFrO8VS7QdLDadmm4+WiapKWAm8kOerrmn1WExfkvM/SEsMmYC/wHZJ/TR+MiLF0Si5/l7VxRURlf3063V+fkzSn03EBnwf+ACiny6+gA/ur15K76qzrindn4M0RcT5wOfA7kt6Sd0A94EvAq4EVwG7gs3kFImke8LfAByLiUF5x1KoTV+77LCJKEbECWETyr+nz6k3rbFQnxiXpdcBHgZ8F/gVwKvCRTsYk6e3A3ojYWL26ztSW769eS+7DwOKq5UXArpxiOU5E7Eq/7wX+B8n/9N1ij6QzANLve3OOB4CI2JP+QZaBPyenfSZpNkkC/XpE/F26Ovd9Vi+ubtlnaSwHgftIatvzJc1Kh3L9u6yK67K0vBURcQz4Kp3fX28GrpS0g6SM/FaSI/m2769eS+7rgWXpJ81DwDXA6pxjQtLJkk6pPAZ+GXik8VYdtRq4Ln18HfD3OcYyrpI8U/+aHPZZWv/8CrA1Iv5b1VCu+2yyuPLeZ5IWSpqfPj4JeBvJ5wHfA65Op+Wxv+rF9eOqN2iR1LU7ur8i4qMRsSgilpLkq+9GxK/Tif2V96fI0/jU+QqSzoHHgY/nHU8a06tIOnceAjbnGRfwTZJ/ro+S/EvnepIa31rgsfT7qV0S153Aj4CHSZLpGTnE9fMk/yR+GNiUfl2R9z5rEFeu+wx4PfBg+vqPADel618F/ADYDvw1MKdL4vpuur8eAf6KtKMmjy/gYia6Zdq+v3z5ATOzAuq1soyZmWXg5G5mVkBO7mZmBeTkbmZWQE7uZmYF5ORuZlZATu5mZgX0/wENTA+4zUGSMAAAAABJRU5ErkJggg==\n", 2647 | "text/plain": [ 2648 | "
" 2649 | ] 2650 | }, 2651 | "metadata": { 2652 | "needs_background": "light" 2653 | }, 2654 | "output_type": "display_data" 2655 | } 2656 | ], 2657 | "source": [ 2658 | "import statsmodels.graphics.tsaplots as tsa\n", 2659 | "tsa.plot_acf(trades_sign, lags = 40)" 2660 | ] 2661 | }, 2662 | { 2663 | "cell_type": "markdown", 2664 | "metadata": {}, 2665 | "source": [ 2666 | "Autocorrelation is important for lags = 40." 2667 | ] 2668 | }, 2669 | { 2670 | "cell_type": "code", 2671 | "execution_count": null, 2672 | "metadata": {}, 2673 | "outputs": [], 2674 | "source": [] 2675 | } 2676 | ], 2677 | "metadata": { 2678 | "kernelspec": { 2679 | "display_name": "Python 3", 2680 | "language": "python", 2681 | "name": "python3" 2682 | }, 2683 | "language_info": { 2684 | "codemirror_mode": { 2685 | "name": "ipython", 2686 | "version": 3 2687 | }, 2688 | "file_extension": ".py", 2689 | "mimetype": "text/x-python", 2690 | "name": "python", 2691 | "nbconvert_exporter": "python", 2692 | "pygments_lexer": "ipython3", 2693 | "version": "3.7.3" 2694 | } 2695 | }, 2696 | "nbformat": 4, 2697 | "nbformat_minor": 2 2698 | } 2699 | -------------------------------------------------------------------------------- /Hawkes Processes.ipynb: -------------------------------------------------------------------------------- 1 | { 2 | "cells": [ 3 | { 4 | "cell_type": "markdown", 5 | "metadata": {}, 6 | "source": [ 7 | "# LAB 2 : Hawkes Process and HF Data" 8 | ] 9 | }, 10 | { 11 | "cell_type": "code", 12 | "execution_count": 1, 13 | "metadata": {}, 14 | "outputs": [], 15 | "source": [ 16 | "# Importing Packages\n", 17 | "import pandas as pd\n", 18 | "import numpy as np\n", 19 | "import datetime\n", 20 | "import matplotlib.pyplot as plt\n", 21 | "import seaborn as sns\n", 22 | "import math\n", 23 | "from scipy.stats import expon\n", 24 | "from scipy.stats import norm\n", 25 | "from scipy.stats import expon\n", 26 | "from scipy.stats import norm\n", 27 | "import scipy.stats as stats\n", 28 | "from datetime import timedelta" 29 | ] 30 | }, 31 | { 32 | "cell_type": "markdown", 33 | "metadata": {}, 34 | "source": [ 35 | "# 1. Implementation of fundamental routines" 36 | ] 37 | }, 38 | { 39 | "cell_type": "markdown", 40 | "metadata": {}, 41 | "source": [ 42 | "Recall that a counting process $N$ is called a Hawkes process if it is a counting process with (stochastic) intensity:\n", 43 | "\n", 44 | "$\\lambda_t = \\lambda_{0}(t) + \\int_{0}^{t}v(t-s)dN_s = \\lambda_{0}(t) + \\displaystyle\\sum_{0" 293 | ] 294 | }, 295 | "metadata": { 296 | "needs_background": "light" 297 | }, 298 | "output_type": "display_data" 299 | } 300 | ], 301 | "source": [ 302 | "inf = np.array(d_inf.values())\n", 303 | "sup = np.array(d_sup.values())\n", 304 | "plt.plot(d_est.keys(), d_inf.values(), 'r--', color = 'g', label = 'Borne inférieure')\n", 305 | "plt.plot(d_est.keys(), d_est.values(),'b:o', color = 'b', label = 'Estimation')\n", 306 | "#plt.plot(d_est.keys(), mean_simule, color = 'k', label = 'Moyenne des estimations')\n", 307 | "plt.plot(d_est.keys(), d_sup.values(), 'r--', color = 'r', label = 'Borne supérieure')\n", 308 | "plt.title('Evolution')\n", 309 | "plt.legend(loc='lower right')\n", 310 | "plt.xlabel('Nombre de simulations')\n", 311 | "plt.grid(True)\n", 312 | "plt.show()" 313 | ] 314 | }, 315 | { 316 | "cell_type": "markdown", 317 | "metadata": {}, 318 | "source": [ 319 | "**Notes:**\n", 320 | "\n", 321 | "We seem to get a good approximation of $\\frac{\\lambda_0 T}{1 - \\alpha/\\beta}$ when $T$ is big enough (doesn't work well when $T=10$ but starts to work well for $T=100$) so that suggests we don't have a stationary process for $T$ small? \n", 322 | "\n" 323 | ] 324 | }, 325 | { 326 | "cell_type": "markdown", 327 | "metadata": {}, 328 | "source": [ 329 | "**Coding the Kernel Function**" 330 | ] 331 | }, 332 | { 333 | "cell_type": "markdown", 334 | "metadata": {}, 335 | "source": [ 336 | "Recall that a counting process $N$ is called a Hawkes process if it is a counting process with (stochastic) intensity:\n", 337 | "\n", 338 | "$\\lambda_t = \\lambda_{0}(t) + \\int_{0}^{t}v(t-s)dN_s = \\lambda_{0}(t) + \\displaystyle\\sum_{0= t[i]:\n", 356 | " somme += kernel1D(alpha,beta,s-t[i])\n", 357 | " else:\n", 358 | " break\n", 359 | " return somme" 360 | ] 361 | }, 362 | { 363 | "cell_type": "markdown", 364 | "metadata": {}, 365 | "source": [ 366 | "**Plotting the Hawkes process and intensities**" 367 | ] 368 | }, 369 | { 370 | "cell_type": "code", 371 | "execution_count": 22, 372 | "metadata": {}, 373 | "outputs": [ 374 | { 375 | "data": { 376 | "text/plain": [ 377 | "4472" 378 | ] 379 | }, 380 | "execution_count": 22, 381 | "metadata": {}, 382 | "output_type": "execute_result" 383 | } 384 | ], 385 | "source": [ 386 | "t = hawkes_process(1.2,[0.6],[0.8],1000)\n", 387 | "len(t)" 388 | ] 389 | }, 390 | { 391 | "cell_type": "code", 392 | "execution_count": 23, 393 | "metadata": {}, 394 | "outputs": [ 395 | { 396 | "data": { 397 | "image/png": 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\n", 398 | "text/plain": [ 399 | "
" 400 | ] 401 | }, 402 | "metadata": { 403 | "needs_background": "light" 404 | }, 405 | "output_type": "display_data" 406 | } 407 | ], 408 | "source": [ 409 | "plt.plot(t)\n", 410 | "plt.grid(True)\n", 411 | "plt.title('Simulation du processus de Hawkes')\n", 412 | "plt.xlabel('Nombre dévènements')\n", 413 | "plt.ylabel('Valeur de T')\n", 414 | "plt.show()" 415 | ] 416 | }, 417 | { 418 | "cell_type": "code", 419 | "execution_count": 24, 420 | "metadata": {}, 421 | "outputs": [], 422 | "source": [ 423 | "x = np.linspace(0,10,100)\n", 424 | "l_y = []\n", 425 | "for i in range(len(x)):\n", 426 | " l_y.append(lambdaa(1.2,0.6,0.8,t,x[i]))\n" 427 | ] 428 | }, 429 | { 430 | "cell_type": "code", 431 | "execution_count": 25, 432 | "metadata": {}, 433 | "outputs": [ 434 | { 435 | "data": { 436 | "image/png": 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\n", 437 | "text/plain": [ 438 | "
" 439 | ] 440 | }, 441 | "metadata": { 442 | "needs_background": "light" 443 | }, 444 | "output_type": "display_data" 445 | } 446 | ], 447 | "source": [ 448 | "plt.plot(l_y)\n", 449 | "plt.title('Intensities - Hawkes Process')\n", 450 | "plt.grid(True)\n", 451 | "plt.show()" 452 | ] 453 | }, 454 | { 455 | "cell_type": "code", 456 | "execution_count": 26, 457 | "metadata": {}, 458 | "outputs": [], 459 | "source": [ 460 | "# Implementing the P Kernel Function\n", 461 | "def kernel(alpha,beta,t,P):\n", 462 | " somme = 0\n", 463 | " for i in range(P):\n", 464 | " somme += alpha[i]*np.exp(-beta[i]*t)\n", 465 | " return somme" 466 | ] 467 | }, 468 | { 469 | "cell_type": "code", 470 | "execution_count": 27, 471 | "metadata": {}, 472 | "outputs": [], 473 | "source": [ 474 | "def kernel1D(alpha,beta,t):\n", 475 | " return alpha * np.exp(- beta * t)" 476 | ] 477 | }, 478 | { 479 | "cell_type": "markdown", 480 | "metadata": {}, 481 | "source": [ 482 | "**(b) Let us compute the log-likelihood, defined by**\n", 483 | "\n", 484 | "$\\log \\left(\\mathcal{L}_{T}\\right) = \\displaystyle - \\int_{0}^{T}\\lambda_{0}(s)ds - \\sum_{i=1}^{n}\\sum_{j=1}^{p}\\frac{\\alpha_{j}}{\\beta_{j}}\\left(1 - e^{-\\beta_{j}(T-t_i)}\\right) + \\sum_{i=1}^{n} \\log\\left[\\lambda_{0}(t_i)) + \\sum_{j=1}^{P}\\alpha_{j}R_{j}(i)\\right]$. Here, $\\lambda_0$ is a constant and $P=1$ so one can rewrite: \n", 485 | "\n", 486 | "$\\log \\left(\\mathcal{L}_{T}\\right) = \\displaystyle - T \\times \\lambda_{0} - \\sum_{i=1}^{n}\\frac{\\alpha}{\\beta}\\left(1 - e^{-\\beta(T-t_i)}\\right) + \\sum_{i=1}^{n} \\log \\left(\\lambda_0 + \\alpha R\\right)$.\n", 487 | "\n", 488 | "$R$ is defined recursively by $R(1) = 0$ and $R(i) = e^{- \\beta(t_i - t_{i-1})}(1+R(i-1))$.\n", 489 | "\n", 490 | "\n", 491 | "\n" 492 | ] 493 | }, 494 | { 495 | "cell_type": "code", 496 | "execution_count": 28, 497 | "metadata": {}, 498 | "outputs": [], 499 | "source": [ 500 | "def loglikelihood(x,T,l_time):\n", 501 | " lambda0 = x[0]\n", 502 | " alpha = [x[1]]\n", 503 | " beta = [x[2]]\n", 504 | " a = - T*lambda0\n", 505 | " somme1 = 0\n", 506 | " for i in range(len(l_time)):\n", 507 | " for j in range(len(alpha)):\n", 508 | " somme1 += (alpha[j]/beta[j])*(1 - np.exp(-beta[j]*(T-l_time[i])))\n", 509 | " somme2 = 0\n", 510 | " for j in range (len(alpha)):\n", 511 | " l_R = [0]\n", 512 | " for i in range(1,len(l_time)-1):\n", 513 | " R = np.exp(-beta[j]*(l_time[i] - l_time[i-1]))*(1+l_R[-1])\n", 514 | " l_R.append(R)\n", 515 | " somme2 += np.log(lambda0 + alpha[j]*R)\n", 516 | " res = a - somme1 + somme2\n", 517 | " #print('Values of lambda0,alpha,beta are %s %s %s' %(x[0], [x[1]], [x[2]]))\n", 518 | " #print('Value of the log-likelihood is:', res)\n", 519 | " return res\n", 520 | " " 521 | ] 522 | }, 523 | { 524 | "cell_type": "code", 525 | "execution_count": 38, 526 | "metadata": {}, 527 | "outputs": [], 528 | "source": [ 529 | "t = hawkes_process(1.2,[0.6],[0.8],100)" 530 | ] 531 | }, 532 | { 533 | "cell_type": "code", 534 | "execution_count": 39, 535 | "metadata": {}, 536 | "outputs": [], 537 | "source": [ 538 | "l = [1.2,0.6,0.8]" 539 | ] 540 | }, 541 | { 542 | "cell_type": "code", 543 | "execution_count": 40, 544 | "metadata": {}, 545 | "outputs": [ 546 | { 547 | "data": { 548 | "text/plain": [ 549 | "121.9697151636147" 550 | ] 551 | }, 552 | "execution_count": 40, 553 | "metadata": {}, 554 | "output_type": "execute_result" 555 | } 556 | ], 557 | "source": [ 558 | "a = loglikelihood(l,100,t)\n", 559 | "a" 560 | ] 561 | }, 562 | { 563 | "cell_type": "markdown", 564 | "metadata": {}, 565 | "source": [ 566 | "**(c) Computing estimated values of the parameters**" 567 | ] 568 | }, 569 | { 570 | "cell_type": "code", 571 | "execution_count": 41, 572 | "metadata": {}, 573 | "outputs": [], 574 | "source": [ 575 | "from scipy.optimize import minimize\n", 576 | "import scipy.optimize as opt" 577 | ] 578 | }, 579 | { 580 | "cell_type": "code", 581 | "execution_count": 42, 582 | "metadata": {}, 583 | "outputs": [], 584 | "source": [ 585 | "def maximumparameters(P,T,events):\n", 586 | " def loglike(x):\n", 587 | " b = []\n", 588 | " b.append(x[0])\n", 589 | " b.append(x[1:P + 1])\n", 590 | " b.append(x[(P+1):2*P+1])\n", 591 | " return -loglikelihood(b,T,events)[0]\n", 592 | " a = np.ones(2*P+1)\n", 593 | " sol = minimize(loglike,a,method = 'SLSQP',bounds=opt.Bounds(np.zeros(2*P+1),np.inf*np.ones(2*P+1),keep_feasible=False))\n", 594 | " ans = sol.x\n", 595 | " para = []\n", 596 | " para.append(ans[0])\n", 597 | " a1 = ans[1:P+1].tolist()\n", 598 | " a2 = ans[(P+1):2*P+1].tolist()\n", 599 | " l1 = []\n", 600 | " for elem in a1:\n", 601 | " l1.append(round(elem,2))\n", 602 | " l2 = []\n", 603 | " for elem in a2:\n", 604 | " l2.append(round(elem,2))\n", 605 | " para.append(l1)\n", 606 | " para.append(l2)\n", 607 | " #print('Liste des paramètres estimés :', para)\n", 608 | " return para" 609 | ] 610 | }, 611 | { 612 | "cell_type": "code", 613 | "execution_count": 43, 614 | "metadata": {}, 615 | "outputs": [], 616 | "source": [ 617 | "t = hawkes_process(1.2,[0.6 ,0.7],[0.8, 0.7],100)" 618 | ] 619 | }, 620 | { 621 | "cell_type": "code", 622 | "execution_count": 44, 623 | "metadata": {}, 624 | "outputs": [ 625 | { 626 | "data": { 627 | "text/plain": [ 628 | "[1.5213438735015943, [1.5, 1.0], [1.78, 1.0]]" 629 | ] 630 | }, 631 | "execution_count": 44, 632 | "metadata": {}, 633 | "output_type": "execute_result" 634 | } 635 | ], 636 | "source": [ 637 | "maximumparameters(2,100,t)" 638 | ] 639 | }, 640 | { 641 | "cell_type": "markdown", 642 | "metadata": {}, 643 | "source": [ 644 | "**(d) Integrated intensity for a Hawkes process**" 645 | ] 646 | }, 647 | { 648 | "cell_type": "markdown", 649 | "metadata": {}, 650 | "source": [ 651 | "For a one-dimensional Hawkes process with exponential kernels ($P=1$):\n", 652 | "\n", 653 | "$\\forall i, \\Lambda(t_{i-1},t_i) = \\displaystyle \\int_{t_{i-1}}^{t_i}\\lambda_{0}ds + \\frac{\\alpha}{\\beta}\\left(1 - e^{-\\beta(t_i - t_{i-1})}\\right)A(i-1)$, $A$ being defined by $A(1) = 1$ and $A(i-1) = 1 + e^{-\\beta(t_{i-1}-t_{i-2})}A(i-2)$.\n", 654 | "\n", 655 | "We will code it in two parts." 656 | ] 657 | }, 658 | { 659 | "cell_type": "markdown", 660 | "metadata": {}, 661 | "source": [ 662 | "Firstly, we get the $A$ terms defined recursively above. " 663 | ] 664 | }, 665 | { 666 | "cell_type": "code", 667 | "execution_count": 45, 668 | "metadata": {}, 669 | "outputs": [], 670 | "source": [ 671 | "def get_a(beta,t):\n", 672 | " res = [1]\n", 673 | " for i in range(2,len(t)):\n", 674 | " res.append(1+np.exp(-beta*(t[i]-t[i-1]))*res[-1])\n", 675 | " return res" 676 | ] 677 | }, 678 | { 679 | "cell_type": "markdown", 680 | "metadata": {}, 681 | "source": [ 682 | "Then we compute the series of integrated intensities." 683 | ] 684 | }, 685 | { 686 | "cell_type": "code", 687 | "execution_count": 46, 688 | "metadata": {}, 689 | "outputs": [], 690 | "source": [ 691 | "def int_intens(parameters,T,l_time):\n", 692 | " lambda0 = parameters[0]\n", 693 | " alpha = [parameters[1]]\n", 694 | " beta = [parameters[2]]\n", 695 | " res_final=np.zeros(len(l_time)-1)\n", 696 | " for j in range(len(alpha)):\n", 697 | " # Calculating the 'A' components\n", 698 | " l_a = get_a(beta[j],t)\n", 699 | " l_part2 = (alpha[j])/(beta[j])*(1 + np.exp(-beta[j]*np.diff(l_time)))*np.asarray(l_a)\n", 700 | " # Adding to the final result\n", 701 | " res_final=res_final+l_part2\n", 702 | " res1 = lambda0*(np.diff(l_time)) \n", 703 | " res_final=res_final+res1\n", 704 | " return res_final" 705 | ] 706 | }, 707 | { 708 | "cell_type": "code", 709 | "execution_count": 47, 710 | "metadata": {}, 711 | "outputs": [], 712 | "source": [ 713 | "l = [1.2,0.6,0.8]\n", 714 | "t = hawkes_process(1.2,[0.6],[0.8],100000)" 715 | ] 716 | }, 717 | { 718 | "cell_type": "code", 719 | "execution_count": 48, 720 | "metadata": {}, 721 | "outputs": [ 722 | { 723 | "data": { 724 | "image/png": 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\n", 725 | "text/plain": [ 726 | "
" 727 | ] 728 | }, 729 | "metadata": { 730 | "needs_background": "light" 731 | }, 732 | "output_type": "display_data" 733 | } 734 | ], 735 | "source": [ 736 | "a = int_intens(l,100,t)\n", 737 | "plt.plot(a)\n", 738 | "plt.title('Integrated Intensities')\n", 739 | "plt.grid(True)\n", 740 | "plt.ylabel('Values')\n", 741 | "plt.xlabel('Length of the sequence')\n", 742 | "plt.show()" 743 | ] 744 | }, 745 | { 746 | "cell_type": "code", 747 | "execution_count": 50, 748 | "metadata": {}, 749 | "outputs": [ 750 | { 751 | "data": { 752 | "image/png": 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\n", 753 | "text/plain": [ 754 | "
" 755 | ] 756 | }, 757 | "metadata": { 758 | "needs_background": "light" 759 | }, 760 | "output_type": "display_data" 761 | } 762 | ], 763 | "source": [ 764 | "import pylab\n", 765 | "stats.probplot(a, dist = \"expon\", plot = pylab)\n", 766 | "pylab.title('QQ plot')\n", 767 | "pylab.grid(True)\n", 768 | "pylab.show()" 769 | ] 770 | }, 771 | { 772 | "cell_type": "markdown", 773 | "metadata": {}, 774 | "source": [ 775 | "# 2. Sanity Check." 776 | ] 777 | }, 778 | { 779 | "cell_type": "markdown", 780 | "metadata": {}, 781 | "source": [ 782 | "**(a) Simulating 'N' paths**" 783 | ] 784 | }, 785 | { 786 | "cell_type": "code", 787 | "execution_count": 51, 788 | "metadata": {}, 789 | "outputs": [], 790 | "source": [ 791 | "# A function so the user can compute the desired number of simulations.\n", 792 | "def simulation_q1d(n_simul):\n", 793 | " l_estimates_lambda0 = []\n", 794 | " l_estimates_alpha = []\n", 795 | " l_estimates_beta = []\n", 796 | " for i in range(n_simul):\n", 797 | " t = hawkes_process(1.2,[0.6],[0.8],100)\n", 798 | " a = maximumparameters(1,100,t)\n", 799 | " l_estimates_lambda0.append(a[0])\n", 800 | " l_estimates_alpha.append(a[1][0])\n", 801 | " l_estimates_beta.append(a[2][0])\n", 802 | " res = [round(np.mean(l_estimates_lambda0),2),round(np.mean(l_estimates_alpha),2),round(np.mean(l_estimates_beta),2)]\n", 803 | " print('True values', 1.2,0.6,0.8)\n", 804 | " print('Estimators', res)\n", 805 | " return res\n", 806 | " " 807 | ] 808 | }, 809 | { 810 | "cell_type": "code", 811 | "execution_count": 53, 812 | "metadata": {}, 813 | "outputs": [ 814 | { 815 | "name": "stderr", 816 | "output_type": "stream", 817 | "text": [ 818 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:9: RuntimeWarning: divide by zero encountered in true_divide\n", 819 | " if __name__ == '__main__':\n", 820 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:9: RuntimeWarning: invalid value encountered in multiply\n", 821 | " if __name__ == '__main__':\n", 822 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:16: RuntimeWarning: divide by zero encountered in log\n", 823 | " app.launch_new_instance()\n", 824 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:9: RuntimeWarning: invalid value encountered in true_divide\n", 825 | " if __name__ == '__main__':\n" 826 | ] 827 | }, 828 | { 829 | "name": "stdout", 830 | "output_type": "stream", 831 | "text": [ 832 | "True values 1.2 0.6 0.8\n", 833 | "Estimators [1.29, 0.61, 0.86]\n" 834 | ] 835 | } 836 | ], 837 | "source": [ 838 | "a = simulation_q1d(100)" 839 | ] 840 | }, 841 | { 842 | "cell_type": "markdown", 843 | "metadata": {}, 844 | "source": [ 845 | "**(b) QQ-plot and visualization of the goodness-of-fit**." 846 | ] 847 | }, 848 | { 849 | "cell_type": "markdown", 850 | "metadata": {}, 851 | "source": [ 852 | "Obtaining the fitted process with the estimated parameters." 853 | ] 854 | }, 855 | { 856 | "cell_type": "code", 857 | "execution_count": 34, 858 | "metadata": {}, 859 | "outputs": [ 860 | { 861 | "data": { 862 | "image/png": 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\n", 863 | "text/plain": [ 864 | "
" 865 | ] 866 | }, 867 | "metadata": { 868 | "needs_background": "light" 869 | }, 870 | "output_type": "display_data" 871 | } 872 | ], 873 | "source": [ 874 | "l = [a[i] for i in range(len(a))] # list of estimated parameters\n", 875 | "t = hawkes_process(1.2,[0.6],[0.8],1000)\n", 876 | "a = int_intens(l,100,t)\n", 877 | "plt.plot(a)\n", 878 | "plt.title('Integrated Intensities')\n", 879 | "plt.xlabel('Length of the sequence')\n", 880 | "plt.ylabel('Values')\n", 881 | "plt.grid(True)\n", 882 | "plt.show()" 883 | ] 884 | }, 885 | { 886 | "cell_type": "markdown", 887 | "metadata": {}, 888 | "source": [ 889 | "**QQ-plot and goodness-of-fit visualization:**" 890 | ] 891 | }, 892 | { 893 | "cell_type": "code", 894 | "execution_count": 35, 895 | "metadata": {}, 896 | "outputs": [ 897 | { 898 | "data": { 899 | "image/png": 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\n", 900 | "text/plain": [ 901 | "
" 902 | ] 903 | }, 904 | "metadata": { 905 | "needs_background": "light" 906 | }, 907 | "output_type": "display_data" 908 | } 909 | ], 910 | "source": [ 911 | "stats.probplot(a, dist = \"expon\", plot = pylab)\n", 912 | "pylab.title('Fitted versus theorical')\n", 913 | "pylab.grid(True)" 914 | ] 915 | }, 916 | { 917 | "cell_type": "markdown", 918 | "metadata": {}, 919 | "source": [ 920 | "# 3. Analysis of high-frequency trades data" 921 | ] 922 | }, 923 | { 924 | "cell_type": "markdown", 925 | "metadata": {}, 926 | "source": [ 927 | "## 3. (a) Total- day 3" 928 | ] 929 | }, 930 | { 931 | "cell_type": "markdown", 932 | "metadata": {}, 933 | "source": [ 934 | "Loading data and realizing the tasks for Total." 935 | ] 936 | }, 937 | { 938 | "cell_type": "code", 939 | "execution_count": 54, 940 | "metadata": {}, 941 | "outputs": [], 942 | "source": [ 943 | "from datetime import datetime\n", 944 | "edf_trades = []\n", 945 | "edf_quotes = []\n", 946 | "renault_trades = []\n", 947 | "renault_quotes = []\n", 948 | "total_trades = []\n", 949 | "total_quotes = []\n", 950 | "edf_pre = \"/Users/jeremymarck/Desktop/M2Finance/S2/HFLOB/TP/TP1/Data/EDF.PA-201509\"\n", 951 | "renault_pre = \"/Users/jeremymarck/Desktop/M2Finance/S2/HFLOB/TP/TP1/Data/RENA.PA-201509\"\n", 952 | "total_pre = \"/Users/jeremymarck/Desktop/M2Finance/S2/HFLOB/TP/TP1/Data/TOTF.PA-201509\"\n", 953 | "end_quote = \"-Quotes.csv.gz\"\n", 954 | "end_trade = \"-Trades.csv.gz\"\n", 955 | "for i in range(30):\n", 956 | " day = i+1\n", 957 | " if day < 10:\n", 958 | " date = datetime.strptime('2015-09-'+'0'+str(day),'%Y-%m-%d')\n", 959 | " if date.weekday() < 5:\n", 960 | " trades_edf = pd.read_csv(edf_pre +'0' + str(day) + end_trade)\n", 961 | " trades_rena = pd.read_csv(renault_pre + '0' + str(day) + end_trade)\n", 962 | " trades_totf = pd.read_csv(total_pre + '0' + str(day) + end_trade)\n", 963 | " quotes_edf = pd.read_csv(edf_pre +'0' + str(day) + end_quote)\n", 964 | " quotes_rena = pd.read_csv(renault_pre +'0'+ str(day) + end_quote)\n", 965 | " quotes_totf = pd.read_csv(total_pre +'0'+ str(day) + end_quote)\n", 966 | " else:\n", 967 | " continue\n", 968 | " else:\n", 969 | " date = datetime.strptime('2015-09-'+str(day),'%Y-%m-%d')\n", 970 | " if date.weekday() < 5:\n", 971 | " trades_edf = pd.read_csv(edf_pre + str(day) + end_trade)\n", 972 | " trades_rena = pd.read_csv(renault_pre + str(day) + end_trade)\n", 973 | " trades_totf = pd.read_csv(total_pre + str(day) + end_trade)\n", 974 | " quotes_edf = pd.read_csv(edf_pre + str(day) + end_quote)\n", 975 | " quotes_rena = pd.read_csv(renault_pre + str(day) + end_quote)\n", 976 | " quotes_totf = pd.read_csv(total_pre + str(day) + end_quote)\n", 977 | " else:\n", 978 | " continue\n", 979 | " trades_edf['date_delta'] = pd.to_timedelta(trades_edf['date_xl'],unit = 'D') + datetime(1900,1,1)\n", 980 | " trades_edf['ts_delta'] = pd.to_timedelta(trades_edf['ts'],unit='s')\n", 981 | " trades_totf['date_delta'] = pd.to_timedelta(trades_totf['date_xl'],unit='D')+datetime(1900,1,1)\n", 982 | " trades_totf['ts_delta'] = pd.to_timedelta(trades_totf['ts'],unit='s')\n", 983 | " trades_rena['date_delta'] = pd.to_timedelta(trades_rena['date_xl'],unit='D')+datetime(1900,1,1)\n", 984 | " trades_rena['ts_delta'] = pd.to_timedelta(trades_rena['ts'],unit='s')\n", 985 | " quotes_edf['date_delta']= pd.to_timedelta(quotes_edf['date_xl'],unit='D')+datetime(1900,1,1)\n", 986 | " quotes_edf['ts_delta'] = pd.to_timedelta(quotes_edf['ts'],unit='s')\n", 987 | " quotes_totf['date_delta'] = pd.to_timedelta(quotes_totf['date_xl'],unit='D')+datetime(1900,1,1)\n", 988 | " quotes_totf['ts_delta'] = pd.to_timedelta(quotes_totf['ts'],unit='s')\n", 989 | " quotes_rena['date_delta'] = pd.to_timedelta(quotes_rena['date_xl'],unit='D')+datetime(1900,1,1)\n", 990 | " quotes_rena['ts_delta'] = pd.to_timedelta(quotes_rena['ts'],unit='s')\n", 991 | " trades_edf = trades_edf[trades_edf['lastFtxt'] == 'normal']\n", 992 | " trades_totf = trades_totf[trades_totf['lastFtxt'] == 'normal']\n", 993 | " trades_rena = trades_rena[trades_rena['lastFtxt'] == 'normal']\n", 994 | " trades_edf = trades_edf.reset_index()\n", 995 | " del trades_edf['index']\n", 996 | " trades_totf = trades_totf.reset_index()\n", 997 | " del trades_totf['index']\n", 998 | " trades_rena = trades_rena.reset_index()\n", 999 | " del trades_rena['index']\n", 1000 | " quotes_edf = quotes_edf[quotes_edf['ts'] >= trades_edf['ts'][0]]\n", 1001 | " quotes_edf = quotes_edf[quotes_edf['ts'] <= trades_edf['ts'][len(trades_edf)-1]]\n", 1002 | " quotes_totf = quotes_totf[quotes_totf['ts'] >= trades_totf['ts'][0]]\n", 1003 | " quotes_totf = quotes_totf[quotes_totf['ts'] <= trades_totf['ts'][len(trades_totf)-1]]\n", 1004 | " quotes_rena = quotes_rena[quotes_rena['ts'] >= trades_rena['ts'][0]]\n", 1005 | " quotes_rena = quotes_rena[quotes_rena['ts'] <= trades_rena['ts'][len(trades_rena)-1]]\n", 1006 | " edf_trades.append(trades_edf)\n", 1007 | " edf_quotes.append(quotes_edf)\n", 1008 | " total_trades.append(trades_totf)\n", 1009 | " total_quotes.append(quotes_totf)\n", 1010 | " renault_trades.append(trades_rena)\n", 1011 | " renault_quotes.append(quotes_rena)" 1012 | ] 1013 | }, 1014 | { 1015 | "cell_type": "code", 1016 | "execution_count": 55, 1017 | "metadata": {}, 1018 | "outputs": [], 1019 | "source": [ 1020 | "test = total_trades[3]" 1021 | ] 1022 | }, 1023 | { 1024 | "cell_type": "markdown", 1025 | "metadata": {}, 1026 | "source": [ 1027 | "Let us fit Poisson and Hawkes models ($P=1$ for Hawkes model and exponential kernel) and plot the distributions of time intervals for the fitted processes. " 1028 | ] 1029 | }, 1030 | { 1031 | "cell_type": "code", 1032 | "execution_count": 66, 1033 | "metadata": {}, 1034 | "outputs": [], 1035 | "source": [ 1036 | "a = (test['ts_delta']-test['ts_delta'][0])/np.timedelta64(1,'s')\n", 1037 | "a = a.to_numpy()\n", 1038 | "a = np.unique(a)" 1039 | ] 1040 | }, 1041 | { 1042 | "cell_type": "code", 1043 | "execution_count": 67, 1044 | "metadata": {}, 1045 | "outputs": [ 1046 | { 1047 | "name": "stderr", 1048 | "output_type": "stream", 1049 | "text": [ 1050 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:16: RuntimeWarning: divide by zero encountered in log\n", 1051 | " app.launch_new_instance()\n" 1052 | ] 1053 | } 1054 | ], 1055 | "source": [ 1056 | "b = maximumparameters(1,round(a[-1]),a)" 1057 | ] 1058 | }, 1059 | { 1060 | "cell_type": "code", 1061 | "execution_count": 68, 1062 | "metadata": {}, 1063 | "outputs": [], 1064 | "source": [ 1065 | "# poisson process is a Hawkes process with alpha = 0\n", 1066 | "lamda_poisson = len(a)/(a[-1])\n", 1067 | "p = hawkes_process(lamda_poisson,[0],[0],round(a[-1]))\n", 1068 | "t = hawkes_process(b[0],b[1],b[2],round(a[-1]))" 1069 | ] 1070 | }, 1071 | { 1072 | "cell_type": "code", 1073 | "execution_count": 74, 1074 | "metadata": {}, 1075 | "outputs": [ 1076 | { 1077 | "data": { 1078 | "image/png": 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\n", 1079 | "text/plain": [ 1080 | "
" 1081 | ] 1082 | }, 1083 | "metadata": { 1084 | "needs_background": "light" 1085 | }, 1086 | "output_type": "display_data" 1087 | } 1088 | ], 1089 | "source": [ 1090 | "plt.hist(np.diff(a),40)\n", 1091 | "plt.title ('Distribution of time intervals (empirical)')\n", 1092 | "plt.grid(True)\n", 1093 | "plt.show()" 1094 | ] 1095 | }, 1096 | { 1097 | "cell_type": "code", 1098 | "execution_count": 72, 1099 | "metadata": {}, 1100 | "outputs": [ 1101 | { 1102 | "data": { 1103 | "image/png": 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\n", 1104 | "text/plain": [ 1105 | "
" 1106 | ] 1107 | }, 1108 | "metadata": { 1109 | "needs_background": "light" 1110 | }, 1111 | "output_type": "display_data" 1112 | } 1113 | ], 1114 | "source": [ 1115 | "plt.hist(np.diff(p),40)\n", 1116 | "plt.title ('Distribution of time intervals (Poisson process)')\n", 1117 | "plt.grid(True)\n", 1118 | "plt.show()" 1119 | ] 1120 | }, 1121 | { 1122 | "cell_type": "code", 1123 | "execution_count": 73, 1124 | "metadata": {}, 1125 | "outputs": [ 1126 | { 1127 | "data": { 1128 | "image/png": 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\n", 1129 | "text/plain": [ 1130 | "
" 1131 | ] 1132 | }, 1133 | "metadata": { 1134 | "needs_background": "light" 1135 | }, 1136 | "output_type": "display_data" 1137 | } 1138 | ], 1139 | "source": [ 1140 | "plt.hist(np.diff(t),40)\n", 1141 | "plt.title ('Distribution of time intervals (Hawkes Process)')\n", 1142 | "plt.grid(True)\n", 1143 | "plt.show()" 1144 | ] 1145 | }, 1146 | { 1147 | "cell_type": "markdown", 1148 | "metadata": {}, 1149 | "source": [ 1150 | "Performing QQ-plots." 1151 | ] 1152 | }, 1153 | { 1154 | "cell_type": "code", 1155 | "execution_count": 75, 1156 | "metadata": {}, 1157 | "outputs": [], 1158 | "source": [ 1159 | "minlen = min(len(t),len(p),len(a))\n", 1160 | "d = p[:minlen]\n", 1161 | "h = t[:minlen]\n", 1162 | "k = a[:minlen]" 1163 | ] 1164 | }, 1165 | { 1166 | "cell_type": "code", 1167 | "execution_count": 76, 1168 | "metadata": {}, 1169 | "outputs": [ 1170 | { 1171 | "data": { 1172 | "text/plain": [ 1173 | "Text(0.5, 1.0, 'Q-Q plot of time (Empirical vs Poisson)')" 1174 | ] 1175 | }, 1176 | "execution_count": 76, 1177 | "metadata": {}, 1178 | "output_type": "execute_result" 1179 | }, 1180 | { 1181 | "data": { 1182 | "image/png": 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\n", 1183 | "text/plain": [ 1184 | "
" 1185 | ] 1186 | }, 1187 | "metadata": { 1188 | "needs_background": "light" 1189 | }, 1190 | "output_type": "display_data" 1191 | } 1192 | ], 1193 | "source": [ 1194 | "plt.scatter(k,d)\n", 1195 | "plt.plot(k,k,color='r')\n", 1196 | "plt.title ('Q-Q plot of time (Empirical vs Poisson)')" 1197 | ] 1198 | }, 1199 | { 1200 | "cell_type": "code", 1201 | "execution_count": 77, 1202 | "metadata": {}, 1203 | "outputs": [ 1204 | { 1205 | "data": { 1206 | "text/plain": [ 1207 | "Text(0.5, 1.0, 'Q-Q plot of time (Empirical vs Hawkes)')" 1208 | ] 1209 | }, 1210 | "execution_count": 77, 1211 | "metadata": {}, 1212 | "output_type": "execute_result" 1213 | }, 1214 | { 1215 | "data": { 1216 | "image/png": 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\n", 1217 | "text/plain": [ 1218 | "
" 1219 | ] 1220 | }, 1221 | "metadata": { 1222 | "needs_background": "light" 1223 | }, 1224 | "output_type": "display_data" 1225 | } 1226 | ], 1227 | "source": [ 1228 | "plt.scatter(k,h)\n", 1229 | "plt.plot(k,k,color='r')\n", 1230 | "plt.title ('Q-Q plot of time (Empirical vs Hawkes)')" 1231 | ] 1232 | }, 1233 | { 1234 | "cell_type": "markdown", 1235 | "metadata": {}, 1236 | "source": [ 1237 | "Hawkes process is a little better fitted than the Poisson one. " 1238 | ] 1239 | }, 1240 | { 1241 | "cell_type": "markdown", 1242 | "metadata": {}, 1243 | "source": [ 1244 | "## 3. (b) Repeating this analysis for other stocks and trading days.\n", 1245 | "\n", 1246 | "**EDF.**" 1247 | ] 1248 | }, 1249 | { 1250 | "cell_type": "code", 1251 | "execution_count": 82, 1252 | "metadata": {}, 1253 | "outputs": [ 1254 | { 1255 | "name": "stderr", 1256 | "output_type": "stream", 1257 | "text": [ 1258 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:16: RuntimeWarning: divide by zero encountered in log\n", 1259 | " app.launch_new_instance()\n", 1260 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:9: RuntimeWarning: divide by zero encountered in true_divide\n", 1261 | " if __name__ == '__main__':\n", 1262 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:9: RuntimeWarning: invalid value encountered in multiply\n", 1263 | " if __name__ == '__main__':\n" 1264 | ] 1265 | }, 1266 | { 1267 | "data": { 1268 | "image/png": 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\n", 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ZWeYc9GZmmas76CVtLem3km5Nz/eSdL+kxZJulLRtmr5der4kzZ/QP1U3M7N69KRH/1lgUen514CLI2IisBaYlqZPA9ZGxN7AxamcmZk1SV1BL2kP4BjgivRcwIeBm1OR2cBx6fGU9Jw0//BU3szMmmBYneW+AXwOGJme7wK8GBHr0/PlwLj0eBywDCAi1ktal8qvLi9Q0nRgOkBLSwvt7e292oCWHeCc/dbXnN/b5Q52nZ2dQ3bbN8ftUp3bpbpc2qXboJd0LNAREQsktXVNrlI06pi3YULELGAWQGtra7S1tVUWqctl183lwoW1N2PpKb1b7mDX3t5Ob9s0Z26X6twu1eXSLvX06A8F/krS0cD2wI4UPfxRkoalXv0ewIpUfjkwHlguaRiwE7Cm4TU3M7O6dDtGHxHnRcQeETEBOAm4KyJOAX4OHJ+KTQXmpsfz0nPS/LsiYpMevZmZbRl9uY7+XOBsSUsoxuCvTNOvBHZJ088GZvStimZm1hf1nowFICLagfb0+Bng4CplXgdOaEDdzMysAfyfsWZmmXPQm5llzkFvZpY5B72ZWeYc9GZmmXPQm5llzkFvZpY5B72ZWeYc9GZmmXPQm5llzkFvZpY5B72ZWeYc9GZmmXPQm5llzkFvZpY5B72ZWeYc9GZmmXPQm5llzkFvZpY5B72ZWeYc9GZmmXPQm5llzkFvZpY5B72ZWeYc9GZmmXPQm5llzkFvZpY5B72ZWeYc9GZmmXPQm5llzkFvZpY5B72ZWea6DXpJ20t6QNIjkh6X9C9p+l6S7pe0WNKNkrZN07dLz5ek+RP6dxPMzGxz6unRvwF8OCLeD+wPHClpEvA14OKImAisBaal8tOAtRGxN3BxKmdmZk3SbdBHoTM93SbdAvgwcHOaPhs4Lj2ekp6T5h8uSQ2rsZmZ9YgiovtC0tbAAmBv4FvA14H7Uq8dSeOBn0bE+yQ9BhwZEcvTvKeBQyJidcUypwPTAVpaWg6aM2dOrzagY806Vr1We/5+43bq1XIHu87OTkaMGNHsagw4bpfq3C7VDfR2mTx58oKIaO2u3LB6FhYRbwH7SxoF3ALsU61Yuq/We9/k0yQiZgGzAFpbW6Otra2eqmzisuvmcuHC2pux9JTeLXewa29vp7dtmjO3S3Vul+pyaZceXXUTES8C7cAkYJSkroTdA1iRHi8HxgOk+TsBaxpRWTMz67l6rrrZNfXkkbQDcASwCPg5cHwqNhWYmx7PS89J8++KesaHzMysX9QzdDMWmJ3G6bcCboqIWyU9AcyR9CXgt8CVqfyVwLWSllD05E/qh3qbmVmdug36iHgUOKDK9GeAg6tMfx04oSG1MzOzPvN/xpqZZc5Bb2aWOQe9mVnmHPRmZplz0JuZZc5Bb2aWOQe9mVnmHPRmZplz0JuZZc5Bb2aWOQe9mVnmHPRmZplz0JuZZc5Bb2aWOQe9mVnmHPRmZplz0JuZZc5Bb2aWOQe9mVnmHPRmZplz0JuZZc5Bb2aWOQe9mVnmHPRmZplz0JuZZc5Bb2aWOQe9mVnmHPRmZplz0JuZZc5Bb2aWOQe9mVnmHPRmZpkb1l0BSeOBa4A/Af4IzIqISySNBm4EJgBLgb+LiLWSBFwCHA28CpweEb/pn+p3b8KM2zY7f+nMY7ZQTczMmqOeHv164JyI2AeYBJwpaV9gBjA/IiYC89NzgKOAiek2Hbi84bU2M7O6dRv0EbGyq0ceES8Di4BxwBRgdio2GzguPZ4CXBOF+4BRksY2vOZmZlYXRUT9haUJwN3A+4BnI2JUad7aiNhZ0q3AzIi4N02fD5wbEQ9VLGs6RY+flpaWg+bMmdOrDehYs45Vr/XqpQDsN26n3r94AOvs7GTEiBHNrsaA43apzu1S3UBvl8mTJy+IiNbuynU7Rt9F0gjgh8BZEfFSMRRfvWiVaZt8mkTELGAWQGtra7S1tdVblY1cdt1cLlxY92ZsYukpvVvvQNfe3k5v2zRnbpfq3C7V5dIudV11I2kbipC/LiJ+lCav6hqSSfcdafpyYHzp5XsAKxpTXTMz66lugz5dRXMlsCgiLirNmgdMTY+nAnNL009TYRKwLiJWNrDOZmbWA/WMeRwKnAoslPRwmvZ5YCZwk6RpwLPACWne7RSXVi6huLzyjIbW2MzMeqTboE8nVWsNyB9epXwAZ/axXmZm1iD+z1gzs8w56M3MMuegNzPLnIPezCxzDnozs8w56M3MMuegNzPLnIPezCxzDnozs8w56M3MMuegNzPLnIPezCxzDnozs8w56M3MMuegNzPLnIPezCxzvf9V7UxMmHFbzXlLZx6zBWtiZtY/3KM3M8ucg97MLHMOejOzzDnozcwy56A3M8ucg97MLHMOejOzzDnozcwy56A3M8ucg97MLHMOejOzzA3577rZnM19Dw74u3DMbHBwj97MLHMOejOzzHnopg/8FcdmNhh026OXdJWkDkmPlaaNlnSnpMXpfuc0XZIulbRE0qOSDuzPypuZWffqGbq5GjiyYtoMYH5ETATmp+cARwET0206cHljqmlmZr3VbdBHxN3AmorJU4DZ6fFs4LjS9GuicB8wStLYRlXWzMx6rrdj9C0RsRIgIlZK2i1NHwcsK5VbnqatrFyApOkUvX5aWlpob2/vXUV2gHP2W9+r1/an3m5Po3R2dja9DgOR26U6t0t1ubRLo0/Gqsq0qFYwImYBswBaW1ujra2tVyu87Lq5XLhw4J1TXnpKW1PX397eTm/bNGdul+rcLtXl0i69vbxyVdeQTLrvSNOXA+NL5fYAVvS+emZm1le9Dfp5wNT0eCowtzT9tHT1zSRgXdcQj5mZNUe3Yx6SbgDagDGSlgP/DMwEbpI0DXgWOCEVvx04GlgCvAqc0Q91NjOzHug26CPi5BqzDq9SNoAz+1opMzNrHH8FgplZ5hz0ZmaZG3jXJWbCX3FsZgOFe/RmZplz0JuZZc5Bb2aWOQe9mVnmHPRmZplz0JuZZc6XVzaJL780sy3FPXozs8y5Rz9A+YfHzaxR3KM3M8ucg97MLHMOejOzzDnozcwy56A3M8ucr7oZhHwNvpn1hHv0ZmaZc9CbmWXOQW9mljmP0WdowozbOGe/9ZxeZSzf4/dmQ4979GZmmXPQm5llzkM3Q4wvzTQbetyjNzPLnIPezCxzHrqxHvH35JsNPg5620h3Y/jN4nMLZr3noLeGcRibDUweozczy5yD3swsc/0ydCPpSOASYGvgioiY2R/rscHFJ3LNmqPhQS9pa+BbwH8DlgMPSpoXEU80el1m9Sh/wNT6DqBauvsA6st5CZ/TsC2lP3r0BwNLIuIZAElzgCmAg95q6uvVPv11tVAz69WX1/b0A6r8AdifHzBD8YNxINRbEdHYBUrHA0dGxCfT81OBQyLiMxXlpgPT09P3AE/1cpVjgNW9fG3O3C7VuV2qc7tUN9DbZc+I2LW7Qv3Ro1eVaZt8mkTELGBWn1cmPRQRrX1dTm7cLtW5Xapzu1SXS7v0x1U3y4Hxped7ACv6YT1mZlaH/gj6B4GJkvaStC1wEjCvH9ZjZmZ1aPjQTUSsl/QZ4GcUl1deFRGPN3o9JX0e/smU26U6t0t1bpfqsmiXhp+MNTOzgcX/GWtmljkHvZlZ5gZ10Es6UtJTkpZImtHs+jSTpKWSFkp6WNJDadpoSXdKWpzud252PfubpKskdUh6rDStajuocGnafx6VdGDzat6/arTLBZKeS/vMw5KOLs07L7XLU5L+sjm17n+Sxkv6uaRFkh6X9Nk0Pat9ZtAGfemrFo4C9gVOlrRvc2vVdJMjYv/Sdb8zgPkRMRGYn57n7mrgyIpptdrhKGBiuk0HLt9CdWyGq9m0XQAuTvvM/hFxO0D6OzoJeG96zbfT31uO1gPnRMQ+wCTgzLT9We0zgzboKX3VQkT8B9D1VQu2wRRgdno8GziuiXXZIiLibmBNxeRa7TAFuCYK9wGjJI3dMjXdsmq0Sy1TgDkR8UZE/B5YQvH3lp2IWBkRv0mPXwYWAePIbJ8ZzEE/DlhWer48TRuqArhD0oL09RIALRGxEoodGtitabVrrlrt4H0IPpOGIK4qDe0NyXaRNAE4ALifzPaZwRz0dX3VwhByaEQcSHFoeaakDzW7QoPAUN+HLgfeDewPrAQuTNOHXLtIGgH8EDgrIl7aXNEq0wZ82wzmoPdXLZRExIp03wHcQnGovarrsDLddzSvhk1Vqx2G9D4UEasi4q2I+CPwPTYMzwypdpG0DUXIXxcRP0qTs9pnBnPQ+6sWEknDJY3segx8BHiMoj2mpmJTgbnNqWHT1WqHecBp6UqKScC6rsP1oaBibPmvKfYZKNrlJEnbSdqL4sTjA1u6fluCJAFXAosi4qLSrLz2mYgYtDfgaOB3wNPA+c2uTxPb4V3AI+n2eFdbALtQXDGwON2PbnZdt0Bb3EAxDPEmRe9rWq12oDgM/1bafxYCrc2u/xZul2vTdj9KEWBjS+XPT+3yFHBUs+vfj+3yQYqhl0eBh9Pt6Nz2GX8FgplZ5gbz0I2ZmdXBQW9mljkHvZlZ5hz0ZmaZc9CbmWXOQW9mljkHvZlZ5v4TTD8S41kcO+wAAAAASUVORK5CYII=\n", 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\n", 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\n", 1317 | "text/plain": [ 1318 | "
" 1319 | ] 1320 | }, 1321 | "metadata": { 1322 | "needs_background": "light" 1323 | }, 1324 | "output_type": "display_data" 1325 | } 1326 | ], 1327 | "source": [ 1328 | "test = edf_trades[4]\n", 1329 | "\n", 1330 | "a = (test['ts_delta']-test['ts_delta'][0])/np.timedelta64(1, 's')\n", 1331 | "a = a.to_numpy()\n", 1332 | "a = np.unique(a)\n", 1333 | "\n", 1334 | "b = maximumparameters(1,round(a[-1]),a)\n", 1335 | "\n", 1336 | "# poisson process is a Hawkes process with alpha = 0\n", 1337 | "lamda_poisson = len(a)/(a[-1])\n", 1338 | "p = hawkes_process(lamda_poisson,[0],[0],round(a[-1]))\n", 1339 | "\n", 1340 | "t = hawkes_process(b[0],b[1],b[2],round(a[-1]))\n", 1341 | "\n", 1342 | "plt.hist(np.diff(a),40)\n", 1343 | "plt.title ('Distribution of time intervals (emperical)')\n", 1344 | "plt.grid(True)\n", 1345 | "plt.show()\n", 1346 | "\n", 1347 | "plt.hist(np.diff(d),40)\n", 1348 | "plt.title ('Distribution of time intervals (Poisson process)')\n", 1349 | "plt.grid(True)\n", 1350 | "plt.show()\n", 1351 | "\n", 1352 | "plt.hist(np.diff(t),40)\n", 1353 | "plt.title ('Distribution of time intervals (Hawkes Process)')\n", 1354 | "plt.grid(True)\n", 1355 | "plt.show()\n", 1356 | "\n", 1357 | "minlen = min(len(t),len(p),len(a))\n", 1358 | "d = p[:minlen]\n", 1359 | "h = t[:minlen]\n", 1360 | "k = a[:minlen]\n", 1361 | "\n", 1362 | "plt.scatter(k,d)\n", 1363 | "plt.plot(k,k,color = 'r')\n", 1364 | "plt.title ('Q-Q plot of time (Empirical vs Poisson)')\n", 1365 | "plt.grid(True)\n", 1366 | "plt.show()\n", 1367 | "\n", 1368 | "plt.scatter(k,h)\n", 1369 | "plt.plot(k,k,color='r')\n", 1370 | "plt.title ('Q-Q plot of time (Empirical vs Hawkes)')\n", 1371 | "plt.grid(True)\n", 1372 | "plt.show()" 1373 | ] 1374 | }, 1375 | { 1376 | "cell_type": "markdown", 1377 | "metadata": {}, 1378 | "source": [ 1379 | "Poisson process seems to be quite better right now." 1380 | ] 1381 | }, 1382 | { 1383 | "cell_type": "markdown", 1384 | "metadata": {}, 1385 | "source": [ 1386 | "## Renault- day 5" 1387 | ] 1388 | }, 1389 | { 1390 | "cell_type": "code", 1391 | "execution_count": 84, 1392 | "metadata": {}, 1393 | "outputs": [ 1394 | { 1395 | "data": { 1396 | "image/png": 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vZuTIke0uo1+qVnPV6oXq1Vy1eqF6NfdW77Rp0+6KiCm99dPrFFA9EbG+dl/SN4FF6eFaYGJp1QnAunS/UXvPvucAcwCmTJkSXV1dzZQIwNfnLeCiZfV3cdVJzfc7WLq7uxnI/rZD1WquWr1QvZqrVi9Ur+ZW1dvUFJCkcaWH7wdqVwgtBE6QtLOkfYDJwG+AO4DJkvaR9GqKE8ULmy/bzMwGqtcjAEnXAV3AGElrgfOBLkkHUkwBrQLOAIiIeyVdT3FydwtwZkS8lPo5C7gZGAbMjYh7W743ZmbWZ325CujEOs1XbGf9zwOfr9N+E8X5ADMz6wD+TWAzs0w5AMzMMuUAMDPLlAPAzCxTDgAzs0w5AMzMMuUAMDPLlAPAzCxTDgAzs0w5AMzMMuUAMDPLlAPAzCxTDgAzs0w5AMzMMuUAMDPLlAPAzCxTDgAzs0w5AMzMMuUAMDPLlAPAzCxTDgAzs0w5AMzMMuUAMDPLlAPAzCxTDgAzs0w5AMzMMuUAMDPLlAPAzCxTDgAzs0w5AMzMMuUAMDPLlAPAzCxTDgAzs0w5AMzMMuUAMDPLlAPAzCxTDgAzs0z1GgCS5kraIGl5qW0PSYslrUj/jk7tknSJpJWSlko6qPSc6Wn9FZKmD87umJlZX/XlCOBK4OgebTOBJRExGViSHgMcA0xOtxnAZVAEBnA+cChwCHB+LTTMzKw9eg2AiLgV2Nij+TjgqnT/KuB9pfaro/ArYJSkccBRwOKI2BgRTwGL2TZUzMxsCCkiel9JmgQsioj90+OnI2JUaflTETFa0iJgdkTcltqXAJ8CuoBdIuJzqf0zwAsR8eU625pBcfTA2LFjD54/f37TO7dh4ybWv1B/2QHjd2+638GyefNmRo4c2e4y+qVqNVetXqhezVWrF6pXc2/1Tps27a6ImNJbP8NbWhWoTltsp33bxog5wByAKVOmRFdXV9PFfH3eAi5aVn8XV53UfL+Dpbu7m4HsbztUreaq1QvVq7lq9UL1am5Vvc1eBbQ+Te2Q/t2Q2tcCE0vrTQDWbafdzMzapNkAWAjUruSZDiwotZ+crgaaCmyKiMeAm4EjJY1OJ3+PTG1mZtYmvU4BSbqOYg5/jKS1FFfzzAaul3QasBo4Pq1+E3AssBJ4HjgFICI2SroQuCOt99mI6Hli2czMhlCvARARJzZYdHiddQM4s0E/c4G5/arOzMwGjX8T2MwsUw4AM7NMOQDMzDLlADAzy5QDwMwsUw4AM7NMOQDMzDLlADAzy5QDwMwsUw4AM7NMOQDMzDLlADAzy5QDwMwsUw4AM7NMOQDMzDLlADAzy5QDwMwsUw4AM7NMOQDMzDLlADAzy5QDwMwsUw4AM7NMOQDMzDLlADAzy5QDwMwsUw4AM7NMOQDMzDLlADAzy5QDwMwsUw4AM7NMDW93Ae0yaeaPtrt81ex3DVElZmbt4SMAM7NMOQDMzDLlADAzy5QDwMwsUw4AM7NMDSgAJK2StEzS3ZLuTG17SFosaUX6d3Rql6RLJK2UtFTSQa3YATMza04rjgCmRcSBETElPZ4JLImIycCS9BjgGGByus0ALmvBts3MrEmDMQV0HHBVun8V8L5S+9VR+BUwStK4Qdi+mZn1gSKi+SdLjwBPAQH8e0TMkfR0RIwqrfNURIyWtAiYHRG3pfYlwKci4s4efc6gOEJg7NixB8+fP7/p+jZs3MT6F5p77gHjd296u83avHkzI0eOHPLtDkTVaq5avVC9mqtWL1Sv5t7qnTZt2l2lWZmGBvqbwO+MiHWS9gQWS3pgO+uqTts26RMRc4A5AFOmTImurq6mi/v6vAVctKy5XVx1UvPbbVZ3dzcD2d92qFrNVasXqldz1eqF6tXcqnoHNAUUEevSvxuAHwKHAOtrUzvp3w1p9bXAxNLTJwDrBrJ9MzNrXtMBIGmEpN1q94EjgeXAQmB6Wm06sCDdXwicnK4GmgpsiojHmq7czMwGZCBTQGOBH0qq9fOdiPhPSXcA10s6DVgNHJ/Wvwk4FlgJPA+cMoBtm5nZADUdABHxMPD2Ou1PAofXaQ/gzGa3Z2ZmreXfBDYzy5QDwMwsUw4AM7NMOQDMzDLlADAzy5QDwMwsUw4AM7NMOQDMzDLlADAzy9RA/xroDmvSzB81XLZq9ruGsBIzs8HhIwAzs0w5AMzMMuUAMDPLlAPAzCxTDgAzs0w5AMzMMuUAMDPLlH8PoAnb+x0B8O8JmFk1+AjAzCxTDgAzs0w5AMzMMuUAMDPLlAPAzCxTDgAzs0w5AMzMMuUAMDPLlH8RbBD09otijZxzwBa6WluKmVlDPgIwM8uUA8DMLFMOADOzTDkAzMwy5ZPAHcZ/adTMhooDoGIcEGbWKp4CMjPLlAPAzCxTngLawTT7S2jg6SOz3Ax5AEg6GvgaMAz4VkTMHuoarL7thYfDwWzHM6QBIGkYcCnwd8Ba4A5JCyPivqGsw/qvUTicc8AWPjKAo46+cPiYDY6hPgI4BFgZEQ8DSJoPHAc4AKyhgUxr9dTKwGpXMPlKMGsVRcTQbUz6AHB0RJyeHn8YODQiziqtMwOYkR7+BfDgADY5BnhiAM8falWrF6pXc9XqherVXLV6oXo191bv3hHx+t46GeojANVp2yqBImIOMKclG5PujIgprehrKFStXqhezVWrF6pXc9XqherV3Kp6h/oy0LXAxNLjCcC6Ia7BzMwY+gC4A5gsaR9JrwZOABYOcQ1mZsYQTwFFxBZJZwE3U1wGOjci7h3ETbZkKmkIVa1eqF7NVasXqldz1eqF6tXcmmnyoTwJbGZmncN/CsLMLFMOADOzTO2QASDpaEkPSlopaWa766lH0kRJt0i6X9K9ks5O7XtIWixpRfp3dLtrLZM0TNJ/SVqUHu8j6dep3u+mk/sdQ9IoSd+T9EAa68M6eYwl/WN6PSyXdJ2kXTptjCXNlbRB0vJSW90xVeGS9F5cKumgDqn3S+k1sVTSDyWNKi2blep9UNJRQ11vo5pLyz4pKSSNSY+bHuMdLgBKf27iGGA/4ERJ+7W3qrq2AOdExFuAqcCZqc6ZwJKImAwsSY87ydnA/aXHXwS+kup9CjitLVU19jXgPyPizcDbKWrvyDGWNB74GDAlIvanuFDiBDpvjK8Eju7R1mhMjwEmp9sM4LIhqrHsSratdzGwf0S8DfgdMAsgvQdPAN6anvON9Jky1K5k25qRNJHiT+msLjU3P8YRsUPdgMOAm0uPZwGz2l1XH+pekH6wDwLjUts44MF211aqcQLFm/t/AosofrHvCWB4vbFv9w14LfAI6WKHUntHjjEwHlgD7EFxhd4i4KhOHGNgErC8tzEF/h04sd567ay3x7L3A/PS/a0+LyiuWDysE8Y4tX2P4ovMKmDMQMd4hzsC4JU3Uc3a1NaxJE0C3gH8GhgbEY8BpH/3bF9l2/gq8M/An9Pj1wFPR8SW9LjTxnpf4HHg22na6luSRtChYxwRjwJfpvh29xiwCbiLzh7jmkZjWoX346nAj9P9jq1X0nuBRyPinh6Lmq55RwyAXv/cRCeRNBL4PvDxiHim3fU0IundwIaIuKvcXGfVThrr4cBBwGUR8Q7gOTpkuqeeNG9+HLAPsBcwguLwvqdOGuPedPRrRNK5FNOx82pNdVZre72SXgOcC/zfeovrtPWp5h0xACrz5yYk7UTx4T8vIn6QmtdLGpeWjwM2tKu+Ht4JvFfSKmA+xTTQV4FRkmq/UNhpY70WWBsRv06Pv0cRCJ06xkcAj0TE4xHxIvAD4K/o7DGuaTSmHft+lDQdeDdwUqS5Ezq33jdSfDG4J70HJwC/lfTfGEDNO2IAVOLPTUgScAVwf0RcXFq0EJie7k+nODfQdhExKyImRMQkijH9WUScBNwCfCCt1jH1AkTEH4A1kv4iNR1O8afHO3KMKaZ+pkp6TXp91Ort2DEuaTSmC4GT05UqU4FNtamidlLxH1N9CnhvRDxfWrQQOEHSzpL2oTix+pt21FgWEcsiYs+ImJTeg2uBg9JrvPkxbsfJjSE4eXIsxZn9h4Bz211Pgxr/muIwbSlwd7odSzGvvgRYkf7do9211qm9C1iU7u9L8QZZCdwA7Nzu+nrUeiBwZxrn/wBGd/IYA/8CPAAsB64Bdu60MQauozhH8WL6IDqt0ZhSTE9cmt6LyyiucOqEeldSzJvX3nuXl9Y/N9X7IHBMp4xxj+WreOUkcNNj7D8FYWaWqR1xCsjMzPrAAWBmlikHgJlZphwAZmaZcgCYmWXKAWBmlikHgJlZpv4/U5BJzzJ2sgMAAAAASUVORK5CYII=\n", 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\n", 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\n", 1421 | "text/plain": [ 1422 | "
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\n", 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\n", 1445 | "text/plain": [ 1446 | "
" 1447 | ] 1448 | }, 1449 | "metadata": { 1450 | "needs_background": "light" 1451 | }, 1452 | "output_type": "display_data" 1453 | } 1454 | ], 1455 | "source": [ 1456 | "test = renault_trades[5]\n", 1457 | "\n", 1458 | "a = (test['ts_delta']-test['ts_delta'][0])/np.timedelta64(1, 's')\n", 1459 | "a = a.to_numpy()\n", 1460 | "a = np.unique(a)\n", 1461 | "\n", 1462 | "b = maximumparameters(1,round(a[-1]),a)\n", 1463 | "\n", 1464 | "# poisson process is a Hawkes process with alpha = 0\n", 1465 | "lamda_poisson = len(a)/(a[-1])\n", 1466 | "p = hawkes_process(lamda_poisson,[0],[0],round(a[-1]))\n", 1467 | "\n", 1468 | "t = hawkes_process(b[0],b[1],b[2],round(a[-1]))\n", 1469 | "\n", 1470 | "plt.hist(np.diff(a),40)\n", 1471 | "plt.title ('Distribution of time intervals (emperical)')\n", 1472 | "plt.grid(True)\n", 1473 | "plt.show()\n", 1474 | "\n", 1475 | "plt.hist(np.diff(d),40)\n", 1476 | "plt.title ('Distribution of time intervals (Poisson process)')\n", 1477 | "plt.grid(True)\n", 1478 | "plt.show()\n", 1479 | "\n", 1480 | "plt.hist(np.diff(t),40)\n", 1481 | "plt.title ('Distribution of time intervals (Hawkes Process)')\n", 1482 | "plt.grid(True)\n", 1483 | "plt.show()\n", 1484 | "\n", 1485 | "minlen = min(len(t),len(p),len(a))\n", 1486 | "d = p[:minlen]\n", 1487 | "h = t[:minlen]\n", 1488 | "k = a[:minlen]\n", 1489 | "\n", 1490 | "plt.scatter(k,d)\n", 1491 | "plt.plot(k,k,color ='r')\n", 1492 | "plt.title ('Q-Q plot of time (Empirical vs Poisson)')\n", 1493 | "plt.grid(True)\n", 1494 | "plt.show()\n", 1495 | "\n", 1496 | "plt.scatter(k,h)\n", 1497 | "plt.plot(k,k,color = 'r')\n", 1498 | "plt.title ('Q-Q plot of time (Empirical vs Hawkes)')\n", 1499 | "plt.grid(True)\n", 1500 | "plt.show()" 1501 | ] 1502 | }, 1503 | { 1504 | "cell_type": "markdown", 1505 | "metadata": {}, 1506 | "source": [ 1507 | "Hawkes and Poisson processes produce similar performances." 1508 | ] 1509 | }, 1510 | { 1511 | "cell_type": "markdown", 1512 | "metadata": {}, 1513 | "source": [ 1514 | "## 3. (c) Shorter period of trading day (10h30-12h30)." 1515 | ] 1516 | }, 1517 | { 1518 | "cell_type": "code", 1519 | "execution_count": 85, 1520 | "metadata": {}, 1521 | "outputs": [ 1522 | { 1523 | "name": "stderr", 1524 | "output_type": "stream", 1525 | "text": [ 1526 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:16: RuntimeWarning: divide by zero encountered in log\n", 1527 | " app.launch_new_instance()\n" 1528 | ] 1529 | }, 1530 | { 1531 | "data": { 1532 | "image/png": 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\n", 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7mohorVZvfA3bGg8cD3w0Iu6U9FX2DNNUogplL3o3iYilFG8gtLa2RltbWw1NebHLlq/g4rW9h7HhnIFtd7To7OxkoI/NaJdzbJB3fDnHBvnFV8sY/UZgY0TcmeZvoEj8W7qHZNL91lL96aX1pwGb6tNcMzPrr6o9+oh4QtJjkl4dEb8EZlMM4zwAzAeWpPsVaZWVwEckdQAnAbsiYvOQtL4GLYtv7nP5hiWnD1NLzMxGRi1DNwAfBZZL2hd4BDiX4tPA9ZIWAo8C81LdW4DTgPXAs6mumZmNkJoSfUTcC1Qa8J9doW4A5w2yXWZmVif+ZqyZWeac6M3MMudEb2aWOSd6M7PMOdGbmWXOid7MLHNO9GZmmXOiNzPLnBO9mVnmnOjNzDLnRG9mljknejOzzDnRm5llzonezCxzTvRmZplzojczy5wTvZlZ5pzozcwy50RvZpY5J3ozs8zVlOglbZC0VtK9ku5OZZMlrZL0ULqflMol6VJJ6yXdJ+n4oQzAzMz6Nr4fddsjYltpfjGwOiKWSFqc5i8CTgVmpNtJwOXpflRqWXxzr8s2LDl9GFtiZjY0BjN0MxdYlqaXAWeWyq+Jwh3ARElTBrEfMzMbhFoTfQA/lLRG0qJU1hwRmwHS/eGpfCrwWGndjanMzMxGQK1DNydHxCZJhwOrJD3YR11VKIsXVSreMBYBNDc309nZWWNT9tZ8AFw4c/eA1q1moG2qp66urlHRjqGQc2yQd3w5xwb5xVdToo+ITel+q6QbgROBLZKmRMTmNDSzNVXfCEwvrT4N2FRhm0uBpQCtra3R1tY2oAAuW76Ci9f251RD7Tac0zYk2+2Pzs5OBvrYjHY5xwZ5x5dzbJBffFWHbiQdKOmg7mngrcD9wEpgfqo2H1iRplcC701X38wCdnUP8ZiZ2fCrpSvcDNwoqbv+tRHxfUk/Ba6XtBB4FJiX6t8CnAasB54Fzq17q83MrGZVE31EPAK8rkL5k8DsCuUBnFeX1pmZ2aD5m7FmZplzojczy5wTvZlZ5pzozcwy50RvZpY5J3ozs8w50ZuZZc6J3swsc070ZmaZc6I3M8ucE72ZWeac6M3MMudEb2aWOSd6M7PMOdGbmWXOid7MLHNO9GZmmXOiNzPLnBO9mVnmavlz8DGrZfHNfS7fsOT0YWqJmdnAuUdvZpa5mhO9pHGS7pF0U5p/haQ7JT0k6VuS9k3l+6X59Wl5y9A03czMatGfHv35wLrS/JeASyJiBrADWJjKFwI7IuIo4JJUz8zMRkhNiV7SNOB04Mo0L+AU4IZUZRlwZpqem+ZJy2en+mZmNgIUEdUrSTcAXwQOAj4OLADuSL12JE0HvhcRx0q6H5gTERvTsoeBkyJiW49tLgIWATQ3N5/Q0dExoAC2bt/FlucGtOqgzZw6Ycj30dXVRVNT05DvZyTkHBvkHV/OsUHjxNfe3r4mIlqr1at61Y2kM4CtEbFGUlt3cYWqUcOyPQURS4GlAK2trdHW1tazSk0uW76Ci9eOzMVDG85pG/J9dHZ2MtDHZrTLOTbIO76cY4P84qslQ54MvF3SacD+wMHAV4CJksZHxG5gGrAp1d8ITAc2ShoPTAC2173lZmZWk6pj9BHxyYiYFhEtwFnArRFxDvAj4B2p2nxgRZpemeZJy2+NWsaHzMxsSAzmOvqLgI9JWg8cAlyVyq8CDknlHwMWD66JZmY2GP0a3I6ITqAzTT8CnFihzm+BeXVom5mZ1YG/GWtmljknejOzzDnRm5llzonezCxzTvRmZplzojczy5wTvZlZ5pzozcwy50RvZpY5J3ozs8w50ZuZZc6J3swsc070ZmaZc6I3M8ucE72ZWeac6M3MMudEb2aWOSd6M7PMOdGbmWWuX/8Za3trWXxzr8s2LDl9GFtiZta7qj16SftLukvSzyX9QtLnUvkrJN0p6SFJ35K0byrfL82vT8tbhjYEMzPrSy1DN78DTomI1wHHAXMkzQK+BFwSETOAHcDCVH8hsCMijgIuSfXMzGyEVE30UehKs/ukWwCnADek8mXAmWl6bponLZ8tSXVrsZmZ9YsionolaRywBjgK+Brwt8AdqdeOpOnA9yLiWEn3A3MiYmNa9jBwUkRs67HNRcAigObm5hM6OjoGFMDW7bvY8tyAVh1SM6dOqMt2urq6aGpqqsu2RpucY4O848s5Nmic+Nrb29dERGu1ejWdjI2I54HjJE0EbgSOrlQt3Vfqvb/o3SQilgJLAVpbW6Otra2WprzIZctXcPHa0XdOecM5bXXZTmdnJwN9bEa7nGODvOPLOTbIL75+XV4ZETuBTmAWMFFSd4adBmxK0xuB6QBp+QRgez0aa2Zm/VfLVTeHpZ48kg4A3gysA34EvCNVmw+sSNMr0zxp+a1Ry/iQmZkNiVrGPKYAy9I4/UuA6yPiJkkPAB2SPg/cA1yV6l8FfEPSeoqe/FlD0G4zM6tR1UQfEfcBf1Kh/BHgxArlvwXm1aV1ZmY2aP4JBDOzzDnRm5llzonezCxzTvRmZplzojczy5wTvZlZ5pzozcwyN/p+JCYTff0pCfiPScxs+LhHb2aWOSd6M7PMOdGbmWXOid7MLHNO9GZmmXOiNzPLnBO9mVnmnOjNzDLnRG9mljl/M3aE+JuzZjZc3KM3M8ucE72ZWeac6M3MMlc10UuaLulHktZJ+oWk81P5ZEmrJD2U7ielckm6VNJ6SfdJOn6ogzAzs97V0qPfDVwYEUcDs4DzJB0DLAZWR8QMYHWaBzgVmJFui4DL695qMzOrWdVEHxGbI+JnafppYB0wFZgLLEvVlgFnpum5wDVRuAOYKGlK3VtuZmY1UUTUXllqAW4DjgUejYiJpWU7ImKSpJuAJRFxeypfDVwUEXf32NYiih4/zc3NJ3R0dAwogK3bd7HluQGtOqrNnDoBgK6uLpqamka4NUMj59gg7/hyjg0aJ7729vY1EdFarV7N19FLagK+DVwQEU9J6rVqhbIXvZtExFJgKUBra2u0tbXV2pS9XLZ8BRevze/rABvOaQOgs7OTgT42o13OsUHe8eUcG+QXX01X3UjahyLJL4+I76TiLd1DMul+ayrfCEwvrT4N2FSf5pqZWX9V7Qqr6LpfBayLiC+XFq0E5gNL0v2KUvlHJHUAJwG7ImJzXVs9BnR/c/bCmbtZ0ONbtP7WrJn1Ry1jHicD7wHWSro3lX2KIsFfL2kh8CgwLy27BTgNWA88C5xb1xabmVm/VE306aRqbwPysyvUD+C8QbbLzMzqxN+MNTPLnBO9mVnmnOjNzDLnRG9mljknejOzzOX3ldIxwP9OZWb94R69mVnmnOjNzDLnRG9mljmP0WeorzF8j9+bjT3u0ZuZZc6J3swsc070ZmaZc6I3M8ucE72ZWeac6M3MMudEb2aWOSd6M7PM+QtTY4x/EM1s7HGP3swsc1UTvaSrJW2VdH+pbLKkVZIeSveTUrkkXSppvaT7JB0/lI03M7PqaunRfx2Y06NsMbA6ImYAq9M8wKnAjHRbBFxen2aamdlAVU30EXEbsL1H8VxgWZpeBpxZKr8mCncAEyVNqVdjzcys/xQR1StJLcBNEXFsmt8ZERNLy3dExCRJNwFLIuL2VL4auCgi7q6wzUUUvX6am5tP6OjoGFAAW7fvYstzA1q1ITQfwLDGN3PqhGHbV1dXF01NTcO2v+GWc3w5xwaNE197e/uaiGitVq/eV92oQlnFd5KIWAosBWhtbY22trYB7fCy5Su4eG2+Fw9dOHP3sMa34Zy2YdtXZ2cnA33eG0HO8eUcG+QX30AzyBZJUyJicxqa2ZrKNwLTS/WmAZsG00AbXr780iw/A728ciUwP03PB1aUyt+brr6ZBeyKiM2DbKOZmQ1C1R69pOuANuBQSRuBvwKWANdLWgg8CsxL1W8BTgPWA88C5w5Bm83MrB+qJvqIOLuXRbMr1A3gvME2yszM6sffjDUzy5wTvZlZ5pzozcwyl+8F6DYk+rr80pdemo1O7tGbmWXOPXqrG3/Zymx0co/ezCxzTvRmZplzojczy5zH6G3Y9BzDv3DmbhakMo/fmw0dJ3obFXwi12zoeOjGzCxzTvRmZpnz0I01hGpDO33xsI+Nde7Rm5llzonezCxzTvRmZplzojczy5xPxlr2fCLXxjr36M3MMucevVkfRvM3dv0nMFarIUn0kuYAXwXGAVdGxJKh2I/ZSOsr2ZZ/y2cghjJZ+01ibKl7opc0Dvga8BZgI/BTSSsj4oF678vMKhvMeYlatt3Xm5jfKEafoejRnwisj4hHACR1AHMBJ3qzfhjKZD2Uhqrdw/kJp+cb2WD2PRqG/xQR9d2g9A5gTkS8P82/BzgpIj7So94iYFGafTXwywHu8lBg2wDXbQQ5x5dzbJB3fDnHBo0T35ERcVi1SkPRo1eFshe9m0TEUmDpoHcm3R0RrYPdzmiVc3w5xwZ5x5dzbJBffENxeeVGYHppfhqwaQj2Y2ZmNRiKRP9TYIakV0jaFzgLWDkE+zEzsxrUfegmInZL+gjwA4rLK6+OiF/Uez8lgx7+GeVyji/n2CDv+HKODTKLr+4nY83MbHTxTyCYmWXOid7MLHMNneglzZH0S0nrJS0e6fYMlqSrJW2VdH+pbLKkVZIeSveTRrKNAyVpuqQfSVon6ReSzk/lDR+fpP0l3SXp5ym2z6XyV0i6M8X2rXRxQsOSNE7SPZJuSvNZxCdpg6S1ku6VdHcqa/jjsqxhE33ppxZOBY4BzpZ0zMi2atC+DszpUbYYWB0RM4DVab4R7QYujIijgVnAeen5yiG+3wGnRMTrgOOAOZJmAV8CLkmx7QAWjmAb6+F8YF1pPqf42iPiuNK18zkcly9o2ERP6acWIuL3QPdPLTSsiLgN2N6jeC6wLE0vA84c1kbVSURsjoifpemnKRLGVDKILwpdaXafdAvgFOCGVN6QsXWTNA04HbgyzYuM4qug4Y/LskZO9FOBx0rzG1NZbpojYjMUyRI4fITbM2iSWoA/Ae4kk/jSsMa9wFZgFfAwsDMidqcqjX58fgX4BPCHNH8I+cQXwA8lrUk/zQKZHJfdGvn36Gv6qQUbXSQ1Ad8GLoiIp4qOYeOLiOeB4yRNBG4Ejq5UbXhbVR+SzgC2RsQaSW3dxRWqNmR8wMkRsUnS4cAqSQ+OdIPqrZF79GPlpxa2SJoCkO63jnB7BkzSPhRJfnlEfCcVZxMfQETsBDopzkNMlNTdmWrk4/Nk4O2SNlAMkZ5C0cPPIr6I2JTut1K8SZ9IZsdlIyf6sfJTCyuB+Wl6PrBiBNsyYGlM9ypgXUR8ubSo4eOTdFjqySPpAODNFOcgfgS8I1VryNgAIuKTETEtIlooXme3RsQ5ZBCfpAMlHdQ9DbwVuJ8Mjsuyhv5mrKTTKHoW3T+18IURbtKgSLoOaKP4idQtwF8B/wxcD7wceBSYFxE9T9iOepLeAPwrsJY947yfohinb+j4JP0xxQm7cRSdp+sj4q8lvZKiBzwZuAd4d0T8buRaOnhp6ObjEXFGDvGlGG5Ms+OBayPiC5IOocGPy7KGTvRmZlZdIw/dmJlZDZzozcwy50RvZpY5J3ozs8w50ZuZZc6J3swsc070ZmaZ+//TtLznAaPAKQAAAABJRU5ErkJggg==\n", 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\n", 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\n", 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" 1583 | ] 1584 | }, 1585 | "metadata": { 1586 | "needs_background": "light" 1587 | }, 1588 | "output_type": "display_data" 1589 | } 1590 | ], 1591 | "source": [ 1592 | "start_time = timedelta(hours = 10,minutes = 30)\n", 1593 | "end_time = timedelta(hours = 12,minutes = 30)\n", 1594 | "test = total_trades[3]\n", 1595 | "test = test[test['ts_delta'] > start_time]\n", 1596 | "test = test[test['ts_delta'] < end_time]\n", 1597 | "test = test.reset_index()\n", 1598 | "a = (test['ts_delta']-test['ts_delta'][0])/np.timedelta64(1, 's')\n", 1599 | "a = a.to_numpy()\n", 1600 | "a = np.unique(a)\n", 1601 | "\n", 1602 | "b = maximumparameters(1,round(a[-1]),a)\n", 1603 | "\n", 1604 | "# poisson process is a Hawkes process with alpha = 0\n", 1605 | "lamda_poisson = len(a)/(a[-1])\n", 1606 | "p = hawkes_process(lamda_poisson,[0],[0],round(a[-1]))\n", 1607 | "\n", 1608 | "t = hawkes_process(b[0],b[1],b[2],round(a[-1]))\n", 1609 | "\n", 1610 | "plt.hist(np.diff(a),40)\n", 1611 | "plt.title ('Distribution of time intervals (emperical)')\n", 1612 | "plt.grid(True)\n", 1613 | "plt.show()\n", 1614 | "\n", 1615 | "plt.hist(np.diff(d),40)\n", 1616 | "plt.title ('Distribution of time intervals (Poisson process)')\n", 1617 | "plt.grid(True)\n", 1618 | "plt.show()\n", 1619 | "\n", 1620 | "plt.hist(np.diff(t),40)\n", 1621 | "plt.title ('Distribution of time intervals (Hawkes Process)')\n", 1622 | "plt.grid(True)\n", 1623 | "plt.show()\n", 1624 | "\n", 1625 | "minlen=min(len(t),len(p),len(a))\n", 1626 | "d=p[:minlen]\n", 1627 | "h=t[:minlen]\n", 1628 | "k=a[:minlen]\n", 1629 | "\n", 1630 | "plt.scatter(k,d)\n", 1631 | "plt.plot(k,k,color='r')\n", 1632 | "plt.title ('Q-Q plot of time (Empirical vs Poisson)')\n", 1633 | "plt.grid(True)\n", 1634 | "plt.show()\n", 1635 | "\n", 1636 | "plt.scatter(k,h)\n", 1637 | "plt.plot(k,k,color='r')\n", 1638 | "plt.title ('Q-Q plot of time (Empirical vs Hawkes)')\n", 1639 | "plt.grid(True)\n", 1640 | "plt.show()" 1641 | ] 1642 | }, 1643 | { 1644 | "cell_type": "markdown", 1645 | "metadata": {}, 1646 | "source": [ 1647 | "## 3. (d) Repeating the analysis with different Kernel dimensions.\n", 1648 | "\n", 1649 | "Please note that $P$ denotes the dimension. Everything is computed on EDF." 1650 | ] 1651 | }, 1652 | { 1653 | "cell_type": "markdown", 1654 | "metadata": {}, 1655 | "source": [ 1656 | "The following piece of code is a function that allows the user to choose the Kernel dimension." 1657 | ] 1658 | }, 1659 | { 1660 | "cell_type": "code", 1661 | "execution_count": 87, 1662 | "metadata": {}, 1663 | "outputs": [], 1664 | "source": [ 1665 | "def analysis(P):\n", 1666 | " \n", 1667 | " test = edf_trades[4]\n", 1668 | " test = test.reset_index()\n", 1669 | " a = (test['ts_delta']-test['ts_delta'][0])/np.timedelta64(1, 's')\n", 1670 | " a = a.to_numpy()\n", 1671 | " a = np.unique(a)\n", 1672 | " \n", 1673 | " # Choose your Kerne dimension here.\n", 1674 | " b = maximumparameters(P,round(a[-1]),a)\n", 1675 | "\n", 1676 | "\n", 1677 | " t = hawkes_process(b[0],b[1],b[2],round(a[-1]))\n", 1678 | "\n", 1679 | " plt.hist(np.diff(a),40)\n", 1680 | " plt.title ('Distribution of time intervals (Empirical)')\n", 1681 | " plt.grid(True)\n", 1682 | " plt.show()\n", 1683 | " \n", 1684 | " plt.hist(np.diff(t),40)\n", 1685 | " plt.title ('Distribution of time intervals (Hawkes Process)')\n", 1686 | " plt.grid(True)\n", 1687 | " plt.show()\n", 1688 | " \n", 1689 | " minlen = min(len(t),len(a))\n", 1690 | " d = t[:minlen]\n", 1691 | " k = a[:minlen]\n", 1692 | "\n", 1693 | " plt.scatter(k,d)\n", 1694 | " plt.plot(k,k,color = 'r')\n", 1695 | " plt.title ('Q-Q plot of time (emperical vs Hawkes)')\n", 1696 | " plt.grid(True)\n", 1697 | " plt.show()\n" 1698 | ] 1699 | }, 1700 | { 1701 | "cell_type": "markdown", 1702 | "metadata": {}, 1703 | "source": [ 1704 | "P = 2." 1705 | ] 1706 | }, 1707 | { 1708 | "cell_type": "code", 1709 | "execution_count": 88, 1710 | "metadata": {}, 1711 | "outputs": [ 1712 | { 1713 | "name": "stderr", 1714 | "output_type": "stream", 1715 | "text": [ 1716 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:16: RuntimeWarning: divide by zero encountered in log\n", 1717 | " app.launch_new_instance()\n", 1718 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:9: RuntimeWarning: divide by zero encountered in true_divide\n", 1719 | " if __name__ == '__main__':\n", 1720 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:9: RuntimeWarning: invalid value encountered in multiply\n", 1721 | " if __name__ == '__main__':\n" 1722 | ] 1723 | }, 1724 | { 1725 | "data": { 1726 | "image/png": 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\n", 1727 | "text/plain": [ 1728 | "
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\n", 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\n", 1751 | "text/plain": [ 1752 | "
" 1753 | ] 1754 | }, 1755 | "metadata": { 1756 | "needs_background": "light" 1757 | }, 1758 | "output_type": "display_data" 1759 | } 1760 | ], 1761 | "source": [ 1762 | "analysis(2)" 1763 | ] 1764 | }, 1765 | { 1766 | "cell_type": "markdown", 1767 | "metadata": {}, 1768 | "source": [ 1769 | "P = 3." 1770 | ] 1771 | }, 1772 | { 1773 | "cell_type": "code", 1774 | "execution_count": 89, 1775 | "metadata": {}, 1776 | "outputs": [ 1777 | { 1778 | "name": "stderr", 1779 | "output_type": "stream", 1780 | "text": [ 1781 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:16: RuntimeWarning: divide by zero encountered in log\n", 1782 | " app.launch_new_instance()\n", 1783 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:9: RuntimeWarning: divide by zero encountered in true_divide\n", 1784 | " if __name__ == '__main__':\n", 1785 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:9: RuntimeWarning: invalid value encountered in multiply\n", 1786 | " if __name__ == '__main__':\n" 1787 | ] 1788 | }, 1789 | { 1790 | "data": { 1791 | "image/png": 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\n", 1792 | "text/plain": [ 1793 | "
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\n", 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\n", 1816 | "text/plain": [ 1817 | "
" 1818 | ] 1819 | }, 1820 | "metadata": { 1821 | "needs_background": "light" 1822 | }, 1823 | "output_type": "display_data" 1824 | } 1825 | ], 1826 | "source": [ 1827 | "analysis(3)" 1828 | ] 1829 | }, 1830 | { 1831 | "cell_type": "markdown", 1832 | "metadata": {}, 1833 | "source": [ 1834 | "P = 4." 1835 | ] 1836 | }, 1837 | { 1838 | "cell_type": "code", 1839 | "execution_count": 90, 1840 | "metadata": {}, 1841 | "outputs": [ 1842 | { 1843 | "name": "stderr", 1844 | "output_type": "stream", 1845 | "text": [ 1846 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:16: RuntimeWarning: divide by zero encountered in log\n", 1847 | " app.launch_new_instance()\n", 1848 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:9: RuntimeWarning: divide by zero encountered in true_divide\n", 1849 | " if __name__ == '__main__':\n", 1850 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:9: RuntimeWarning: invalid value encountered in multiply\n", 1851 | " if __name__ == '__main__':\n" 1852 | ] 1853 | }, 1854 | { 1855 | "data": { 1856 | "image/png": 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\n", 1857 | "text/plain": [ 1858 | "
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kGyStS+8TUl1JukjSekmrJR0ztCGYmdme1Nuj/xzwHxHxEuAVwFpgAbAiIqYDK9I8wEnA9PSaD1zS1BabmdmA9JvoJR0AHA9cChARf4iIHcAsYHGqthg4NU3PAi6Pws3AeEmTm95yMzOriyJizxWko4BFwF0UvflVwAeAByJifKne9oiYIOk6YGFE3JTKVwDnRsTKivXOp+jx09HRcezSpUsbCqBn2062PlF7+ZFTxjW03uGut7eXMWPGtLoZe5Vjbg/tGDM0FvfMmTNXRURnf/VG1bGuUcAxwPsj4hZJn+PZYZpqVKVst2+TiFhE8QVCZ2dndHV11dGU3V28ZBkXrKkdxoY5ja13uOvu7qbRfTZSOeb20I4xw9DGXc8Y/SZgU0TckuavoUj8W/uGZNJ7T6n+1NLnDwE2N6e5ZmY2UP0m+oh4ENgo6cWp6ASKYZzlwNxUNhdYlqaXA6enp29mADsjYktzm21mZvWqZ+gG4P3AEkn7AfcBZ1J8SVwtaR5wPzA71b0eOBlYDzye6pqZWYvUlegj4jag2oD/CVXqBnDWINtlZmZN4t+MNTPLnBO9mVnmnOjNzDLnRG9mljknejOzzDnRm5llzonezCxzTvRmZplzojczy5wTvZlZ5pzozcwy50RvZpY5J3ozs8w50ZuZZc6J3swsc070ZmaZc6I3M8ucE72ZWeac6M3MMldXope0QdIaSbdJWpnKJkq6QdK69D4hlUvSRZLWS1ot6ZihDMDMzPZsID36mRFxVET0/ZPwBcCKiJgOrEjzACcB09NrPnBJsxprZmYDN5ihm1nA4jS9GDi1VH55FG4GxkuaPIjtmJnZICgi+q8k/QbYDgTwpYhYJGlHRIwv1dkeERMkXQcsjIibUvkK4NyIWFmxzvkUPX46OjqOXbp0aUMB9GzbydYnai8/csq4htY73PX29jJmzJhWN2OvcsztoR1jhsbinjlz5qrSKEtNo+pc36sjYrOkg4AbJN29h7qqUrbbt0lELAIWAXR2dkZXV1edTdnVxUuWccGa2mFsmNPYeoe77u5uGt1nI5Vjbg/tGDMMbdx1Dd1ExOb03gNcCxwHbO0bkknvPan6JmBq6eOHAJub1WAzMxuYfhO9pNGSxvZNA28A7gCWA3NTtbnAsjS9HDg9PX0zA9gZEVua3nIzM6tLPUM3HcC1kvrqfz0i/kPSrcDVkuYB9wOzU/3rgZOB9cDjwJlNb7WZmdWt30QfEfcBr6hS/jBwQpXyAM5qSuvMzGzQ/JuxZmaZc6I3M8ucE72ZWeac6M3MMudEb2aWOSd6M7PMOdGbmWXOid7MLHNO9GZmmXOiNzPLnBO9mVnmnOjNzDLnRG9mljknejOzzDnRm5llzonezCxzTvRmZplzojczy5wTvZlZ5upO9JL2kfQrSdel+cMk3SJpnaSrJO2XyvdP8+vT8mlD03QzM6vHQHr0HwDWluY/DVwYEdOB7cC8VD4P2B4RhwMXpnpmZtYidSV6SYcAbwS+kuYFvA64JlVZDJyapmeledLyE1J9MzNrAUVE/5Wka4BPAWOBDwFnADenXjuSpgLfi4iXS7oDODEiNqVl9wKvioiHKtY5H5gP0NHRcezSpUsbCqBn2062PlF7+ZFTxjW03uGut7eXMWPGtLoZe5Vjbg/tGDM0FvfMmTNXRURnf/VG9VdB0ilAT0SsktTVV1ylatSx7NmCiEXAIoDOzs7o6uqqrFKXi5cs44I1tcPYMKex9Q533d3dNLrPRirH3B7aMWYY2rj7TfTAq4E3SzoZeC5wAPBZYLykURHxFHAIsDnV3wRMBTZJGgWMA7Y1veVmZlaXfsfoI+K8iDgkIqYBpwE/jIg5wI+At6Rqc4FlaXp5mict/2HUMz5kZmZDYjDP0Z8LfFDSeuBA4NJUfilwYCr/ILBgcE00M7PBqGfo5hkR0Q10p+n7gOOq1HkSmN2EtpmZWRP4N2PNzDLnRG9mljknejOzzDnRm5llzonezCxzTvRmZplzojczy5wTvZlZ5pzozcwy50RvZpY5J3ozs8w50ZuZZc6J3swsc070ZmaZc6I3M8ucE72ZWeac6M3MMudEb2aWOSd6M7PM9ZvoJT1X0i8k3S7pTkn/nMoPk3SLpHWSrpK0XyrfP82vT8unDW0IZma2J/X06H8PvC4iXgEcBZwoaQbwaeDCiJgObAfmpfrzgO0RcThwYapnZmYt0m+ij0Jvmt03vQJ4HXBNKl8MnJqmZ6V50vITJKlpLTYzswGpa4xe0j6SbgN6gBuAe4EdEfFUqrIJmJKmpwAbAdLyncCBzWy0mZnVb1Q9lSLiaeAoSeOBa4GXVquW3qv13qOyQNJ8YD5AR0cH3d3d9TRlNx3Pg3OOfKrm8kbXO9z19vZmG1stjrk9tGPMMLRx15Xo+0TEDkndwAxgvKRRqdd+CLA5VdsETAU2SRoFjAO2VVnXImARQGdnZ3R1dTUUwMVLlnHBmtphbJjT2HqHu+7ubhrdZyOVY24P7RgzDG3c9Tx184LUk0fS84DXA2uBHwFvSdXmAsvS9PI0T1r+w4jYrUdvZmZ7Rz09+snAYkn7UHwxXB0R10m6C1gq6ePAr4BLU/1LgSskrafoyZ82BO02M7M69ZvoI2I1cHSV8vuA46qUPwnMbkrrzMxs0PybsWZmmXOiNzPLnBO9mVnmnOjNzDLnRG9mljknejOzzDnRm5llzonezCxzTvRmZplzojczy5wTvZlZ5pzozcwy50RvZpY5J3ozs8w50ZuZZc6J3swsc070ZmaZc6I3M8ucE72ZWeb6TfSSpkr6kaS1ku6U9IFUPlHSDZLWpfcJqVySLpK0XtJqSccMdRBmZlZbPT36p4BzIuKlwAzgLElHAAuAFRExHViR5gFOAqan13zgkqa32szM6jaqvwoRsQXYkqYflbQWmALMArpStcVAN3BuKr88IgK4WdJ4SZPTeva6aQu+u8flGxa+cS+1xMysNQY0Ri9pGnA0cAvQ0Ze80/tBqdoUYGPpY5tSmZmZtUC/Pfo+ksYA3wTOjohHJNWsWqUsqqxvPsXQDh0dHXR3d9fblF10PA/OOfKphj4LNLzdVuvt7R2xbW+UY24P7RgzDG3cdSV6SftSJPklEfGtVLy1b0hG0mSgJ5VvAqaWPn4IsLlynRGxCFgE0NnZGV1dXQ0FcPGSZVywpu7vq91smNPYdlutu7ubRvfZSOWY20M7xgxDG3c9T90IuBRYGxGfKS1aDsxN03OBZaXy09PTNzOAna0anzczs/p69K8G3gmskXRbKvswsBC4WtI84H5gdlp2PXAysB54HDizqS02M7MBqeepm5uoPu4OcEKV+gGcNch2mZlZk/g3Y83MMudEb2aWOSd6M7PMOdGbmWXOid7MLHNO9GZmmXOiNzPLnBO9mVnmnOjNzDLnRG9mljknejOzzDnRm5llrvE/5J6JPf2rQf+bQTPLgXv0ZmaZc6I3M8ucE72ZWeac6M3MMudEb2aWOSd6M7PMOdGbmWWu3+foJV0GnAL0RMTLU9lE4CpgGrAB+LuI2C5JwOeAk4HHgTMi4pdD0/Sht6dn7MHP2ZvZyFBPj/6rwIkVZQuAFRExHViR5gFOAqan13zgkuY008zMGtVvoo+IG4FtFcWzgMVpejFwaqn88ijcDIyXNLlZjTUzs4FTRPRfSZoGXFcautkREeNLy7dHxARJ1wELI+KmVL4CODciVlZZ53yKXj8dHR3HLl26tKEAerbtZOsTDX10SB05ZdyQrr+3t5cxY8YM6TaGG8fcHtoxZmgs7pkzZ66KiM7+6jX7b92oSlnVb5KIWAQsAujs7Iyurq6GNnjxkmVcsGb4/cmeDXO6hnT93d3dNLrPRirH3B7aMWYY2rgbfepma9+QTHrvSeWbgKmleocAmxtvnpmZDVajiX45MDdNzwWWlcpPV2EGsDMitgyyjWZmNgj1PF55JdAFTJK0CfgnYCFwtaR5wP3A7FT9eopHK9dTPF555hC0eUTwo5lmNlz0m+gj4m01Fp1QpW4AZw22UWZm1jz+zVgzs8w50ZuZZc6J3swsc070ZmaZG36/adQm/FSOme0t7tGbmWXOid7MLHMeuhmm9jS042EdMxsI9+jNzDLnRG9mljknejOzzHmMfgSatuC7nHPkU5xRYxzfY/hmVuYevZlZ5tyjz5Cf2DGzMvfozcwy5x59m/GfXjBrP070tgt/EZjlx0M3ZmaZc4/eBqS/Hv+e+GrArDWGpEcv6URJ90haL2nBUGzDzMzq0/QevaR9gC8Afw1sAm6VtDwi7mr2tmxk8dWAWWsMxdDNccD6iLgPQNJSYBbgRG8NG8xvAw/mC6Y//gKykUAR0dwVSm8BToyId6f5dwKvioj3VdSbD8xPsy8G7mlwk5OAhxr87EjWjnE75vbQjjFDY3EfGhEv6K/SUPToVaVst2+TiFgELBr0xqSVEdE52PWMNO0Yt2NuD+0YMwxt3ENxM3YTMLU0fwiweQi2Y2ZmdRiKRH8rMF3SYZL2A04Dlg/BdszMrA5NH7qJiKckvQ/4PrAPcFlE3Nns7ZQMevhnhGrHuB1ze2jHmGEI4276zVgzMxte/CcQzMwy50RvZpa5EZ3o2+VPLUjaIGmNpNskrUxlEyXdIGldep/Q6nYOhqTLJPVIuqNUVjVGFS5Kx321pGNa1/LBqRH3+ZIeSMf7Nkknl5adl+K+R9LftKbVgyNpqqQfSVor6U5JH0jl2R7vPcS8d451RIzIF8WN3nuBFwL7AbcDR7S6XUMU6wZgUkXZ/wUWpOkFwKdb3c5Bxng8cAxwR38xAicD36P4nY0ZwC2tbn+T4z4f+FCVukek83x/4LB0/u/T6hgaiHkycEyaHgv8OsWW7fHeQ8x75ViP5B79M39qISL+APT9qYV2MQtYnKYXA6e2sC2DFhE3AtsqimvFOAu4PAo3A+MlTd47LW2uGnHXMgtYGhG/j4jfAOspfg5GlIjYEhG/TNOPAmuBKWR8vPcQcy1NPdYjOdFPATaW5jex5x03kgXwA0mr0p+OAOiIiC1QnETAQS1r3dCpFWM7HPv3pWGKy0rDctnFLWkacDRwC21yvCtihr1wrEdyoq/rTy1k4tURcQxwEnCWpONb3aAWy/3YXwK8CDgK2AJckMqzilvSGOCbwNkR8cieqlYpG5FxV4l5rxzrkZzo2+ZPLUTE5vTeA1xLcQm3te/yNb33tK6FQ6ZWjFkf+4jYGhFPR8SfgC/z7CV7NnFL2pci4S2JiG+l4qyPd7WY99axHsmJvi3+1IKk0ZLG9k0DbwDuoIh1bqo2F1jWmhYOqVoxLgdOT09jzAB29l3y56Bi/PlvKY43FHGfJml/SYcB04Ff7O32DZYkAZcCayPiM6VF2R7vWjHvtWPd6rvRg7yTfTLF3et7gY+0uj1DFOMLKe6+3w7c2RcncCCwAliX3ie2uq2DjPNKikvXP1L0ZubVipHisvYL6bivATpb3f4mx31Fimt1+oGfXKr/kRT3PcBJrW5/gzG/hmIYYjVwW3qdnPPx3kPMe+VY+08gmJllbiQP3ZiZWR2c6M3MMudEb2aWOSd6M7PMOdGbmWXOid7MLHNO9GZmmfv/u1EyhpZJnk4AAAAASUVORK5CYII=\n", 1869 | "text/plain": [ 1870 | "
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\n", 1881 | "text/plain": [ 1882 | "
" 1883 | ] 1884 | }, 1885 | "metadata": { 1886 | "needs_background": "light" 1887 | }, 1888 | "output_type": "display_data" 1889 | } 1890 | ], 1891 | "source": [ 1892 | "analysis(4)" 1893 | ] 1894 | }, 1895 | { 1896 | "cell_type": "markdown", 1897 | "metadata": {}, 1898 | "source": [ 1899 | "Let us now purpose a function that returns the evolution of the fitting (QQ-plots) when $P$ increases." 1900 | ] 1901 | }, 1902 | { 1903 | "cell_type": "code", 1904 | "execution_count": 99, 1905 | "metadata": {}, 1906 | "outputs": [], 1907 | "source": [ 1908 | "def evolution(l):\n", 1909 | " \n", 1910 | " test = edf_trades[4]\n", 1911 | " test = test.reset_index()\n", 1912 | " a = (test['ts_delta']-test['ts_delta'][0])/np.timedelta64(1, 's')\n", 1913 | " a = a.to_numpy()\n", 1914 | " a = np.unique(a)\n", 1915 | " \n", 1916 | " for elem in l:\n", 1917 | " print('**** P = %s ****' %(elem))\n", 1918 | " b = maximumparameters(elem,round(a[-1]),a)\n", 1919 | " t = hawkes_process(b[0],b[1],b[2],round(a[-1]))\n", 1920 | " minlen = min(len(t),len(a))\n", 1921 | " d = t[:minlen]\n", 1922 | " k = a[:minlen]\n", 1923 | "\n", 1924 | " plt.scatter(k,d)\n", 1925 | " plt.plot(k,k,color = 'r')\n", 1926 | " plt.title ('Q-Q plot of time (emperical vs Hawkes)')\n", 1927 | " plt.grid(True)\n", 1928 | " plt.show()" 1929 | ] 1930 | }, 1931 | { 1932 | "cell_type": "code", 1933 | "execution_count": 101, 1934 | "metadata": {}, 1935 | "outputs": [ 1936 | { 1937 | "name": "stdout", 1938 | "output_type": "stream", 1939 | "text": [ 1940 | "**** P = 1 ****\n" 1941 | ] 1942 | }, 1943 | { 1944 | "name": "stderr", 1945 | "output_type": "stream", 1946 | "text": [ 1947 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:16: RuntimeWarning: divide by zero encountered in log\n", 1948 | " app.launch_new_instance()\n", 1949 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:9: RuntimeWarning: divide by zero encountered in true_divide\n", 1950 | " if __name__ == '__main__':\n", 1951 | "/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:9: RuntimeWarning: invalid value encountered in multiply\n", 1952 | " if __name__ == '__main__':\n" 1953 | ] 1954 | }, 1955 | { 1956 | "data": { 1957 | "image/png": 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\n", 1958 | "text/plain": [ 1959 | "
" 1960 | ] 1961 | }, 1962 | "metadata": { 1963 | "needs_background": "light" 1964 | }, 1965 | "output_type": "display_data" 1966 | }, 1967 | { 1968 | "name": "stdout", 1969 | "output_type": "stream", 1970 | "text": [ 1971 | "**** P = 2 ****\n" 1972 | ] 1973 | }, 1974 | { 1975 | "data": { 1976 | "image/png": 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\n", 1977 | "text/plain": [ 1978 | "
" 1979 | ] 1980 | }, 1981 | "metadata": { 1982 | "needs_background": "light" 1983 | }, 1984 | "output_type": "display_data" 1985 | }, 1986 | { 1987 | "name": "stdout", 1988 | "output_type": "stream", 1989 | "text": [ 1990 | "**** P = 3 ****\n" 1991 | ] 1992 | }, 1993 | { 1994 | "data": { 1995 | "image/png": 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v9wo3MJQRWPbohdHMacHXistVjDGmpJg1y9UWliyBa65xnc6HHgpA1rw19HlnAbv27g/rlNXKl2bBgPaxyG2BLDgYY0w07NgB/frBsGFQrx5MngwdOtBy0DTWb9sT8WkzqpZjdt92UcxoaCw4GGNMcX38sRuJ9PPPcMstrjmpWrViB4anr2hOp1PqFr1jDNhoJWOMidTmzXDjjfDXv0KZMm6Y6vDhUK0aV4+cWazAUL9mpYQFBrCagzHGROa999xdzhs2wP33Q//+ULFiVG5ma1y7MjGabDVkFhyMMSYc69fDHXfAhAn8Uq8xt3a5n0U0ggEzonL63GGqiZ5y3IKDMcaEQhVefRV69YLt2xnfqSd9G3Ugp3Txv0ZLCVzV8kgGdkrwhEoBLDgYY0xRfv3VrbUwZQq/Hncy1//jJpbXKt46zpXLlWbQP05MaL9CYSw4GGNMQfbvhxdegPvvJ2fffh75a09eOaUj+0uVLtZpEzkKKVQWHIwxJpiffnIjkT7/nM8anMID7W9j9SEZxTplstcWAllwMMaYQDk58OST0L8/W6UsD3fsxVvN2uab+iIcZUoJQy47OSWCQi4LDsYYk2v+fDf1xbffMv341vRpexO/V6kR8elKCQy9PPmbkIKx4GCMKZH6ZS3kjdmr2KdK+Zw93P7VOG6a9RabKlXjwU59+PC41mGfsxQwNAX6E0JhwcEYU+IE3qh26urveXzKMBptXM1bzdryyHk3sqVi1bDPWbd6Re674Li0CAxgwcEYUwK9OutXKu3ZxX2fjaXr3A9YW60W1142gM+OOS3sc3VplVz3J0SLBQdjTInSctA0zvn5Wx798FmO2Po7Y077G0POuYYd5SuFdZ54LLiTSBYcjDElQta8NfR/+XP6zRjFZYums7xmPS67+jHm1msS9rlWDo7PgjuJZMHBGJPWrh45ky+Xb6T9j18yfdrz1Ni5lWfPvJz/nNWZ3WXKhXWu1g1rxnTd5mRiwcEYkxbaDc1m6YYdANxzYg7X9Z4EwGHbN/HctOfp+NNXLMpoSNfLHmZJxjFhnbskBYVcRQYHEakPjAUOB/YDI1R1mIg8BHQHfve7PqCqk/0xfYBuwD7gDlWd6tPbA8OA0sBLqjrYpx8NjANqAt8C16hq5BOhG2NKlMDAcIAqly76mH4zXqLi3t08dm5XRp7+j0InykvXzuVIhFJzyAHuUdVvRaQqMFdEpvltT6nqkMCdRaQJ0BloChwBTBeRY/3m4UA7YDUwR0QmquoS4DF/rnEi8gIusDxf3MIZY0qGvIGh6u/rGTvhBf6ych5f12tC7/Z3sOLQeoWeo3HtyhYYAhQZHFR1HbDOP98mIt8DhQ3kvRgYp6q7gZ9FZBlwht+2TFVXAIjIOOBif77zgKv8PmOAh7DgYIwpRLDaguh+rv12Eld9PoY9KvRrdzOvndIBlcIXvbQaQ36iqqHvLNIA+AxoBtwNXAdsBb7B1S42icizwCxVfdUfMwqY4k/RXlVv9OnXAC1xgWCWqjby6fWBKaraLMj1ewA9ADIyMk4bN25ceKX1tm/fTpUqVSI6NpmkQznSoQxg5YiXtZt3sXHHXpT831s11qzivJeGc8TSH1h3yqlM7XoT22rVLvKcJ9Y9JBZZLbZYvRdt2rSZq6otitov5A5pEakCvA30UtWtIvI88Aig/ueTwA1AsNmplODrVWsh++dPVB0BjABo0aKFZmZmhpr9g2RnZxPpsckkHcqRDmUAK0c8uJrCflyX5f+U2ZdDj6/foceXr7OzbEXuuvBujul8Dk8uKuvbPILLqFqO2X3bxTbTxZDo9yKk4CAiZXGB4TVVfQdAVdcHbB8JfOBfrgYCV8GoB6z1z4Ol/wFUF5EyqpqTZ39jjKHloGms35Z/jErT35bx+JRnaLphBR8cdzYPtevJH5VrcI/kHLRfMq60luxCGa0kwCjge1UdGpBex/dHAPwDWOSfTwReF5GhuA7pxsDXuBpCYz8yaQ2u0/oqVVUR+QS4FDdiqSvwXjQKZ4xJbSf1/5Ctu/flSy+/dzd3fvUGPWa/w8ZKh9DzHw8w9diz8u1nfQmRC6Xm0Bq4BlgoIvN92gPAlSLSHNcEtBLoCaCqi0VkArAEN9LpVlXdByAitwFTcfXC0aq62J/vfmCciAwE5uGCkTGmBCsoMLRYvZjHpjxDw41rGH9iOwad142tFfK3zdvoo+IJZbTSFwTvF5hcyDGDgEFB0icHO86PYDojb7oxpuTKGxgq797JPz8bQ9dvJ7HqkAyuvmIgXzZoHvTYQyuXS+t5j+LB7pA2xiSdo/3dzbkyl3/DoKnDqbPtD0a1uJgh51zDrnIVDtoncCK87OzsOOU0fVlwMMYklZaDph0Yrlh911Ye/Hgklyz+hKWH1ufSLo/zbd0TDuxbRmDZo+k/CV4iWHAwxiSNBrk1BlU6/vglA6a9QPU/tzHsrM4MP/MK9pQpe2DfCqWFHwZ1TFBO058FB2NMQmXNW0Ofdxawa+9+AA7bvpGBHz3HBUtnseDwRlx7xcN8X/vgifJKwpTZiWbBwRiTEIFLdQKgymULp/HgjFGU27eXf2dez6jTO7Gv1ME3vXVpdWScc1oyWXAwxsRV7voKgepv/o1HP/wPZ//yHbPrN+P+9rezsmb+Kdwyqpaz4alxYsHBGBMTWfPW8NDExWzetbfAfUrt38d1cz/g3s/Hsk9K0ff8W3i9efugE+Ul+3QX6caCgzEmqvI1FxWg0R+/8viUYZy69kdmHNOCvhfcyrpqhwXdN93Xa05GFhyMMcWWNW8Nd4+fz/4Q9i27by83zXqL22aOZ0e5Stz5t3t4r0kmSLB7bUvmKmzJwIKDMSZiWfPWcN+b89kbSlQATly3lMenDOOE31cy8YS/MKBtD/5buXrQfcuXKcVjl5xEp1MKWz7GxIoFB2NMRLLmraHX+PlF7whU2Psnvb54ne5zsvi9cnVu/H8PMr1xy6D7Pn1FcwsIScCCgzGmSP2yFvLG7FXsC2NxsFwtf13I4A+f4ehN63j95At4tM0NbCtfOd9+1q+QXCw4GGOCyntzWriq7N5J7+z/o8v8KfxS/XCu7DyImUedfNA+datX5L4LjrOaQhKy4GCMOUiw+xDC1Wb5HAZNHU7G9o2MPL0TT57ThUvPOZY37B6FlGHBwZgSKlhn8j0n5vDl8si/Fmrs3MK/Ph7JP5Zk82OtI7mlUx92ND+VH6y5KOVYcDCmhAn1PoSwqHLR95/x0PQXqbp7JzOuuInzxg4jq1y56F7HxI0FB2NKgGg0FRUkY9sfDPzoedotm83CI47lxA/f4rwTrfko1VlwMCaNhTPcNGyqdP5uKg98Mpqy+/ex8O5/ceLj/4LSpYs+1iQ9Cw7GpKl2Q7NZumFH1M9bo1JZHmtemfOffhA++QTatIGRIzmxYcOoX8skjgUHY9JMrGoLjWtXZtqd58CwYdC5H5QtCyNGwI03Fjj1hUldFhyMSXHhTmERjoNWW1u0CM46C77+Gi66CJ5/Hura/QnpyoKDMSkq2p3MXVodyYnV/8vKqzMP3rBnD/z73+5xyCHwxhtwxRVWW0hzFhyMSUEtB01j/bY9UTlXl1ZHHlhAJzs7++CNX38NN9wAixfD1VfD009DrVpRua5JbhYcjEkh0bpHocjJ7XbuhAcfdMHgiCPggw/gQlu3uSQpMjiISH1gLHA4sB8YoarDRKQmMB5oAKwELlfVTSIiwDCgI7ATuE5Vv/Xn6gr086ceqKpjfPppwMtARWAycKdqBDN8GZOGTur/IVt374vKuQ7qQyjIJ5+4TuYVK+Cmm+Cxx6Batahc36SO/Gvx5ZcD3KOqJwCtgFtFpAnQG/hYVRsDH/vXAB2Axv7RA3gewAeT/kBL4Aygv4jU8Mc87/fNPa598YtmTGrrl7WQBr0nRS0wtG5Ys/DAsGULxw4ZAuedB6VKQXa263S2wFAiFVlzUNV1wDr/fJuIfA/UBS4GMv1uY4Bs4H6fPtb/5z9LRKqLSB2/7zRV3QggItOA9iKSDVRT1Zk+fSzQCZgSnSIak1qi3dEc0lTY778PN91End9+g/vug4cegkqVopYHk3oknNYbEWkAfAY0A35V1eoB2zapag0R+QAYrKpf+PSPcUEjE6igqgN9+oPALlxQGayqf/Xp5wD3q+rfgly/B66GQUZGxmnjxo0Ls7jO9u3bqVKlSkTHJpN0KEc6lAEiL8fmXXtZvXEn0WxDLVu6FMcfXjW0fTdtotGzz5IxYwbbjzmGebfdxr5TTolibhIjHT5XsSpDmzZt5qpqi6L2C7lDWkSqAG8DvVR1qxQ8jC3YBo0gPX+i6ghgBECLFi00MzOziFwHl52dTaTHJpN0KEc6lAEiK0fWvDX0+nA+0RoXEtZiOarw+utw552wdSs8/DBV7r+ffV99VWLfj2ST6DKE9KkUkbK4wPCaqr7jk9eLSB1VXeebjTb49NVA/YDD6wFrfXpmnvRsn14vyP7GpLV73/wuKucpJTD08jCW1ly1Cm6+GSZNglatYNQoaNIkKnkx6aPIDmk/+mgU8L2qDg3YNBHo6p93Bd4LSL9WnFbAFt9vMRU4X0Rq+I7o84Gpfts2EWnlr3VtwLmMSUvthmaTs794jUmCu0dhxaMXhhYY9u+HF16Apk3diKSnn4YvvrDAYIIKpebQGrgGWCgiuRO2PAAMBiaISDfgV+Ayv20ybhjrMtxQ1usBVHWjiDwCzPH7PZzbOQ3czP+Gsk7BOqNNmorGzWsZVcsxu2+78A5auhS6d4dPP4W2bd2cSMccU6x8mPQWymilLwjeLwDQNsj+CtxawLlGA6ODpH+D6+Q2Ju1EY3bUsJuOcuXkwFNPwb/+BeXLuyak66+3qS9MkewOaWOipF/WQt6YvYp9Ub5/s3XDmrzW/czwD/zuO+jWDebOhU6dYPhwd7ezMSGw4GBMMWTNW8Pd4+dz14k5vLowOmsnRNRsFGj3bhg4EAYPhpo1YcIEuPRSqy2YsFhwMCZMsVpEB9z0FsUKDDNnutrC99/DtdfC0KFw6KHRy6ApMSw4GBOiWK7DDCHOe1SQHTugb1945hmoVw8mT4YOHaKbQVOiWHAwphDRmgW1KMVqSpo+3Y1EWrkSbr0VHn0UqoZ2h7QxBbHgYEweuf0IMVhY7SBh3dEczKZNcO+9MHo0NG4Mn30G55wTtfyZks2CgzEBYtmfAFBahCtb1j+wuE7E3n0XbrkFfv8devd2Q1UrVoxOJo3BgoMxBzTqM4mcKI5CjXgIamHWr4fbb4c334Tmzd0UGKeeGt1rGIMFB2OiuuRmtfKlWTAgBsuRqMIrr0CvXq7zedAgN7V22bLRv5YxWHAwJVQ0Rx49fUVzqm9ZysqrM6Nyvnx+/RV69oQPP4SzznJ3OR9/fGyuZYxnwcGUKNEKCl1aHXlQv0F29tJinzOf/fvdSmy9e7uawzPPuNFIpUJZwNGY4rHgYEqM4gaG8mVK8dglJ4U/v1EkfvzRreP8xRfQrp2bKK9Bg9hf1xjPgoNJe/2yFvLarF8jXm0tZv0IwezdC08++b9lOl9+2d3pbFNfmDiz4GDS1vF9J/PnvuINP4prYJg3z019MW8eXHIJPPssHH54fK5tTB4WHExayJq3hj7vLGDX3ujdulbsm9RC9eef8Mgj8NhjUKsWvPWWCw7GJJAFB5Pysuatodf4+UXvGKK4BQWAL790tYUff4TrrnNNSjVrxufaxhTCgoNJefe/vaDY58g7+ijmtm+HBx5wTUdHHglTp8L558fv+sYUwYKDSVnRmgNp5eALo5KfkE2dCj16wKpVcNtt8O9/Q5Uq8c2DMUWw4GBSUsLWYi6OjRvh7rthzBh3E9vnn0Pr1vG7vjFhsOBgUs7RvSdFPCy1crnSDPrHifG5VyHQ22+7G9j++MOtu9CvH1SoEN88GBMGCw4mpRzfd3JEgaFu9Yrcd8Fx8Q8K69a5pqN33oFTTnFTYDRvHt88GBMBCw4mZbQcNC2s+xZiMitqqFRd89Fdd8GuXW4953vugTL2J2dSg31STUoI94Y2gcQFhpUrXYfztGlw9tnw0ktw3HGJyYsxESpyBi8RGS0iG0RkUUDaQyKyRkTm+0fHgG19RGSZiPwxAa51AAAaCElEQVQoIhcEpLf3actEpHdA+tEiMltElorIeBEpF80CmtTXoPeksAJDtfKl+TneI5AA9u1zk+M1awYzZ8Lw4fDppxYYTEoKpebwMvAsMDZP+lOqOiQwQUSaAJ2BpsARwHQROdZvHg60A1YDc0RkoqouAR7z5xonIi8A3YDnIyyPSRNZ89bw0MTFbN61N+RjBBITFIBKv/ziOpq/+grat4cXX3T3LxiTooqsOajqZ0CoU1leDIxT1d2q+jOwDDjDP5ap6gpV3QOMAy4WEQHOA97yx48BOoVZBpNmcu94DicwlJEEBYa9e2HQIFp07w4//ABjx8LkyRYYTMoT1aKr6yLSAPhAVZv51w8B1wFbgW+Ae1R1k4g8C8xS1Vf9fqOAKf407VX1Rp9+DdASeMjv38in1wem5F4nSD56AD0AMjIyThs3blzYBQbYvn07VdLgpqN0KEdgGdZu3sV/d4R/74IAzeoeEuWcFa3KTz9x/OOPU2X5ctaefTY/33UXe1N86ot0+ExBepQjVmVo06bNXFVtUdR+kXZIPw88Aqj/+SRwA+7vNC8leA1FC9k/KFUdAYwAaNGihWZmZoaV6VzZ2dlEemwySYdy5Jbhf+s3h/eRLCOw7NE41xh27YIBA2DIEDjsMHj3XX6qXj3l3wtIj88UpEc5El2GiJaUUtX1qrpPVfcDI3HNRuD6E+oH7FoPWFtI+h9AdREpkyfdlCDH953sA0N4MqqWi39g+OwzOPlkN4PqddfBkiXQyVpCTfqJKDiISJ2Al/8AckcyTQQ6i0h5ETkaaAx8DcwBGvuRSeVwndYT1bVpfQJc6o/vCrwXSZ5Malq7eVdEay60blgzvlNfbN3q7nA+91zIyXHDVF96CWrUiF8ejImjIuvwIvIGkAnUEpHVQH8gU0Sa45qAVgI9AVR1sYhMAJYAOcCtqrrPn+c2YCpQGhitqov9Je4HxonIQGAeMCpqpTNJLWveGt/HEHpTUkJGJE2ZAj17wurV0KsXDBwIlSvHNw/GxFmRf5WqemWQ5AK/wFV1EDAoSPpkYHKQ9BX8r1nKlCC9xs/nnjBmyY777Kn//a+7w/mVV6BJEzdMtVWr+ObBmASJqFnJmOLql7Uw5H3LSJwDgypMmAAnnABvvAEPPgjffmuBwZQoNn2GiatwV22Le21h7Vq45RZ47z047TSYPh1OOim+eTAmCVhwMHHRbmg2SzfsCOuYuNcWRo92k+Pt3g2PP+6alGyiPFNC2SffxFS/rIW8OuvXsI+La2BYsQK6d4cZM9xopJEjoXHj+F3fmCRkwcFEVTSW7qxWvnTU8lOoffvgP/9xcyKVLg0vvOCCRCnrijPGgoOJ2NUjZ/Ll8lCn3QrdggHto37OfBYvhm7dYPZsuPBCFxjq1Yv9dY1JERYcTNhO6v8hW3fvi/p547Km8549buGdgQOhWjV47TW48kqQYDO5GFNyWXAwIQl3lFE4BHjqiuaxX8JzzhxXW1i4EDp3dmsvHHZYbK9pTIqy4GCKFKvAUL5MKerXrMTPg2NcW9i5E/r3h6FD4fDD3TDVv/89ttc0JsVZcDBF6vtu6DeshaJx7cpMuzsTcDNPxlR2tutkXrbMLd35+ONwSPyn9zYm1VhwMEXasSc6/QulBIZeHofmI4AtW+D++92KbA0bumGqbdrE/rrGpAkLDqZQjfpMivjYMqWEIZedHJ9gEGjSJDdR3rp17qa2hx+GSpXimwdjUpwFBxNUy0HTWL8t9FXZErl+8wG//+5mTX39dWjWDN55B86wOR2NiYTd7WPyadB7UliBoUurIxMbGFTdBHlNmsCbb8JDD8HcuRYYjCkGqzmYA8KtLUACJsbLa/VquPlm+OADFwxGjXK1BmNMsVjNwQDuxrZwA0PcprkIZv9+GDECmjaFjz92w1S/+soCgzFRYjUHQ7+shRHd8RyXaS6CWbbMDU/NznYjkEaOdCOSjDFRYzWHEi5r3prknzU1V04OPPmkW1/h229dUPj4YwsMxsSA1RxKuHDvfO7S6kgGdgpjbc9oWbjQTX0xZw5cdBE8/zzUjfMQWWNKEAsOJViD3qHfw5Cwjufdu+Hf/3aPGjVg3Di4/HKbKM+YGLPgUEIUZ3rthAWG2bNdbWHxYrj6anj6aahVKzF5MaaEsT6HEuD4vpMjCgyNa1dOTGDYsQPuvhvOPNNNg/HBB/DqqxYYjIkjqzmkuXZDs/lzn4Z9XIXScmByvLiaMcONRFqxwt2/MHiwW3fBGBNXRdYcRGS0iGwQkUUBaTVFZJqILPU/a/h0EZFnRGSZiCwQkVMDjunq918qIl0D0k8TkYX+mGdErDE5mpZu2BHRcT8M6hjlnBRh82YXFNq2dct0ZmfDc89ZYDAmQUJpVnoZyDugvTfwsao2Bj72rwE6AI39owfwPLhgAvQHWgJnAP1zA4rfp0fAcQkaPJ9++mVFNtV23JuS3nvPTX0xejT885+wYAGce25882CMOUiRwUFVPwPyNlhfDIzxz8cAnQLSx6ozC6guInWAC4BpqrpRVTcB04D2fls1VZ2pqgqMDTiXKYZ+WQsjun/h6SuaxyA3BdiwgSYPPwydOrn+hNmz4bHHoGLF+OXBGBNUpH0OGaq6DkBV14lIbZ9eF1gVsN9qn1ZY+uog6UGJSA9cLYOMjIyIF4rZvn177BeZiYPCypGxYwv3hHE7QikR6taoSPUtS8nOXhqdDBZElYzp02n07LMcunMnP99wA7927oxu3+6ak1JQSfhMpZJ0KEeiyxDtDulg/QUaQXpQqjoCGAHQokULzczMjCCLbvWxSI9NJgWVw92/UPRbm5CRSKtWwU03weTJ0KoVX/fsyRnXXcfR8c9JVKX7ZyrVpEM5El2GSIeyrvdNQvifG3z6aqB+wH71gLVFpNcLkm4idHQYN7bF1f797q7mpk1d7eDpp+GLL9jZoEGic2aMCSLS4DARyB1x1BV4LyD9Wj9qqRWwxTc/TQXOF5EaviP6fGCq37ZNRFr5UUrXBpzLhKnloGkFV7vyaN2wZkzzcpCffnIT5N1yC7RsCYsWwZ13QukEzupqjClUkW0PIvIGkAnUEpHVuFFHg4EJItIN+BW4zO8+GegILAN2AtcDqOpGEXkEmOP3e1hVczu5b8aNiKoITPEPE4FQp9xu3bAmr3U/M8a5wU2UN3Qo9O8P5cu7tRauv96mvjAmBRQZHFT1ygI2tQ2yrwK3FnCe0cDoIOnfADYJfzGEMzVG49qV4xMYvvsObrjBzZ7aqRMMHw5HHBH76xpjosLukE5hm3ft5Zjek9gf4v6Na1eO/V3Pu3fDwIHuzuaaNd2ynZdcYrUFY1KMza2Uohr1mcSqjTtDDgxdWh0Z+8AwcyaccooLDlddBUuWwKWXWmAwJgVZzSFFZM1bwxNTf2TN5l0RHR/TNRi2b4d+/eCZZ6B+fZgyBdrbje7GpDILDikga94a7ho/P+SRSHE1bRr06AErV8Ktt8Kjj0LVqonOlTGmmKxZKQXc++Z3xQoMMbnZbdMm1+F8/vlQrhx89hk8+6wFBmPShAWHJJc1bw05+yMLDTFbj+Hdd91EeWPHQp8+bmTSOedE/zrGmISxZqUkljVvTdhrPEMM13n+7Te4/XZ46y1o3hwmTYJTTy36OGNMyrHgkKQimVU1ZkNVVeGVV6BXL9i5063nfO+9ULZs9K9ljEkKFhySULiBoW71itx3wXF0OqXACW0j98sv0LMnTJ0KZ53l7nI+/vjoX8cYk1QsOCShUAODEMOZVffvdyux9fbrOP3nP25upFLWTWVMSWDBIck0CGNW1Xo1K8UmEz/+CN26wZdfutFIL74INnuqMSWKBYckcVL/D9m6e1/I+z99RXOqb4nyojx798KQITBgAFSqBC+/DNdea3c4G1MCWRtBEgg3MHRpdWT0+xfmzXPTaT/wAFx0kZv6omtXCwzGlFAWHJJAuIEhqsNU//zTBYTTT4e1a+Htt91keYcfHr1rGGNSjjUrJVg4fQxR73z+4gvXt/DTT26dhSefhBo1onsNY0xKsuAQZ1nz1vDQxMVs3rU3rOOiGhi2bXN3Ng8fDkcd5Yapnn9+9M5vjEl5FhzioOWgaSGv0hZMVAPD1KluorxVq+COO2DQIKhSJXrnN8akBetziLGkCQwbN7oO5vbt3UikL76AYcMsMBhjgrLgEGNJERjeegtOOAFefx369nUjk846KzrnNsakJWtWipFI5kYK1KXVkcXPxLp1bo2Fd991E+RNneomzDPGmCJYzSEGohEYijVcVRX+7//ctNqTJ7v1nGfPtsBgjAmZ1RxiINLA0LphTV7rfmbxLv7zz67Defp0t8bCSy/BsccW75zGmBLHgkOUtRuaHdb+1cqXZsGAKKy3vG+fG5rap4+bHO+559xsqjZRnjEmAsUKDiKyEtgG7ANyVLWFiNQExgMNgJXA5aq6SUQEGAZ0BHYC16nqt/48XYF+/rQDVXVMcfKVKOFMgxHVO52//97dzDZzJnToAC+8AEdGoc/CGFNiRaPm0EZV/wh43Rv4WFUHi0hv//p+oAPQ2D9aAs8DLX0w6Q+0ABSYKyITVXVTFPIWc5H0L7RuWDMqgUFycmDgQHjkETck9ZVX4OqrbT4kY0yxxaJZ6WIg0z8fA2TjgsPFwFhVVWCWiFQXkTp+32mquhFARKYB7YE3YpC3qIokMDx9RfPoTJo3dy6n9ewJK1bA5Ze79RZq1y7+eY0xhuKPVlLgIxGZKyI9fFqGqq4D8D9zv7HqAqsCjl3t0wpKT2oJCwy7dsH998MZZ1B2yxY3THX8eAsMxpioKm7NobWqrhWR2sA0EfmhkH2DtXVoIen5T+ACUA+AjIwMsrOzw8yus3379oiPBVi7eRcZO/ZwTxgtQ/VrVqL6lqVkZ0e+BsMh333HcUOGUGn1atZ17Mh311xDherVoRhlSbTivhfJwsqRXNKhHIkuQ7GCg6qu9T83iMi7wBnAehGpo6rrfLPRBr/7aqB+wOH1gLU+PTNPenYB1xsBjABo0aKFZmZmBtutSNnZ2UR6LOTOpBr6ry6jajlmX90u4uuxdatbrvP55+Hoo2H6dOq0bcuPxSxHMijue5EsrBzJJR3KkegyRNysJCKVRaRq7nPgfGARMBHo6nfrCrznn08ErhWnFbDFNztNBc4XkRoiUsOfZ2qk+Uo2GVXLMbtvMQLD5MnQrJkbgXTXXbBwIbRtG70MGmNMEMWpOWQA77oRqpQBXlfVD0VkDjBBRLoBvwKX+f0n44axLsMNZb0eQFU3isgjwBy/38O5ndPJJpyhqsW+f+GPP1wwePVVd6fzV19Bq1aRn88YY8IQcXBQ1RXAyUHS/wvk+9fWj1K6tYBzjQZGR5qXeAhnUZ5idTyrwoQJcPvtsGkT/OtfbqW28uUjO58xxkTA7pAOQdwCw9q1cPPNMHEitGjhpsA46aTIzmWMMcVgcysUIZzAAEQWGFTdHEhNmsBHH8ETT7i7nS0wGGMSxGoOhTi+7+Sw9m9cu3L4F1mxArp3hxkz4NxzXZBo1Cj88xhjTBRZzaEQf+4LertFUI1rV2ba3Zmhn3zfPnjqKTcSac4cePFFFyAsMBhjkoDVHIopolFJixbBjTe6NRYuvNANU61XLzYZNMaYCFjNoQCh9DVkVC0XXmDYswcGDHCrsi1f7pbtfP99CwzGmKRjNYcgjg4hMITdjDRnDtxwg6s1XHklDBsGhx0WeSaNMSaGrOaQR7uh2cEndsoj5MCwcyfce6+7gW3TJjdM9fXXLTAYY5Ka1RwCHN93clid0EXKznZ9C8uXu1XZHnsMDjkkeuc3xpgYsZqD16D3pJADQ+uGNQvfYcsWFwzatHGvZ8xwnc4WGIwxKcKCA9By0LSQ921cuzKvdT+z4B3ef9/dzPbSS645acGC/wUJY4xJERYcgPXb9oS0X5dWRxbc1/D773DVVfD3v0PNmu4O5yeegEqVopdRY4yJEwsOIerS6sjg6z6rug7mE06At95yQ1XnzoUzzoh/Jo0xJkpKfIf01SNnFrlPtfKlgweG1avdRHkffAAtW8KoUdC0aQxyaYwx8VXiaw5fLi986YgKpSX/jW7797vpLpo0gY8/hqFD4csvLTAYY9JGia85FOWHQR0PTli2zE2Ul50N550HI0fCMcckJG/GGBMrJb7mELKcHBgyBE48Eb791gWF6dMtMBhj0pLVHEKxYAF06wbffONGIz33HNSNcEEfY4xJASW65pA1b02h21cO+Cv07w+nnQa//ALjxkFWlgUGY0zaK7E1h6x5a+g1fn6B209Z8wOc+k9YsgS6dHFrL9SqFcccGmNM4pTI4LB51156fRg8MFTc8yf3fP4KN3wzEerVhUmToGPHoPsaY0y6KpHBYdXGnQQr+lkr5zP4w/9w5Jb1vHJKR67JfgOqVYt/Bo0xJsFKZHDIq9qf23ngk9F0XvARK2ocweVXDebr+s24xgKDMaaEKlHB4eqRM/ly+UbuCbjZud3SWQz86Dlq7djMCy0v4anWV7G7bHlWDr4wcRk1xpgES5rgICLtgWFAaeAlVR0czfPnBoZctXZs4qHpI/jbD5/z/WENuPH/PcjCOo0BN4+SMcaUZEkRHESkNDAcaAesBuaIyERVXRKtaxwIDKoc90U2014eRaW9u3jinGt4seUl5JR2v4oCJ9gzxpgSJCmCA3AGsExVVwCIyDjgYiBqwQGgzL4cRrwzkPNWfMPcI47nnx3uZHmt+gftY4HBGGNAVKO4LGakmRC5FGivqjf619cALVX1tjz79QB6AGRkZJw2bty4kK+xcM0WAM5+dTQcUZsvMzugpUoftE9pEZockTqd0Nu3b6dKlSqJzkaxpEMZwMqRbNKhHLEqQ5s2beaqaoui9kuWmoMEScsXtVR1BDACoEWLFpqZmRnyBa7rPQmAJ0/uwT0n5vDkwoOLXqG05J9kL8llZ2cTzu8gGaVDGcDKkWzSoRyJLkOyTJ+xGghs36kHrI3mBQpa97lMKeHpK5qnXGAwxphYSpbgMAdoLCJHi0g5oDMwMZoXeK37mfkCROuGNVn27450OsXmSjLGmEBJ0aykqjkichswFTeUdbSqLo72dV7rfibgqmsrr86M9umNMSZtJEVwAFDVycDkROfDGGNM8jQrGWOMSSIWHIwxxuRjwcEYY0w+FhyMMcbkkxR3SEdCRH4Hfonw8FrAH1HMTqKkQznSoQxg5Ug26VCOWJXhKFU9rKidUjY4FIeIfBPK7ePJLh3KkQ5lACtHskmHciS6DNasZIwxJh8LDsYYY/IpqcFhRKIzECXpUI50KANYOZJNOpQjoWUokX0OxhhjCldSaw7GGGMKYcHBGGNMPiUqOIhIexH5UUSWiUjvROcnGBFZKSILRWS+iHzj02qKyDQRWep/1vDpIiLP+PIsEJFTA87T1e+/VES6xiHfo0Vkg4gsCkiLWr5F5DT/e1nmjw22QFSsyvGQiKzx78l8EekYsK2Pz9OPInJBQHrQz5qfln62L994P0V9tMtQX0Q+EZHvRWSxiNzp01Pq/SikHCnzfohIBRH5WkS+82UYUNh1RaS8f73Mb28QadmKTVVLxAM3Ffhy4BigHPAd0CTR+QqSz5VArTxpjwO9/fPewGP+eUdgCm4lvVbAbJ9eE1jhf9bwz2vEON9/AU4FFsUi38DXwJn+mClAhziW4yHg3iD7NvGfo/LA0f7zVbqwzxowAejsn78A3ByDMtQBTvXPqwI/+bym1PtRSDlS5v3wv58q/nlZYLb/HQe9LnAL8IJ/3hkYH2nZivsoSTWHM4BlqrpCVfcA44CLE5ynUF0MjPHPxwCdAtLHqjMLqC4idYALgGmqulFVNwHTgPaxzKCqfgZsjEW+/bZqqjpT3V/K2IBzxaMcBbkYGKequ1X1Z2AZ7nMW9LPm/7s+D3jLHx/4O4kaVV2nqt/659uA74G6pNj7UUg5CpJ074f/nW73L8v6hxZy3cD36C2grc9nWGWLRt5LUnCoC6wKeL2awj9oiaLARyIyV0R6+LQMVV0H7g8GqO3TCypTspQ1Wvmu65/nTY+n23yTy+jc5hjCL8ehwGZVzcmTHjO+WeIU3H+sKft+5CkHpND7ISKlRWQ+sAEXYJcXct0DefXbt/h8xv1vvSQFh2Btosk4jre1qp4KdABuFZG/FLJvQWVK9rKGm+9El+d5oCHQHFgHPOnTk7ocIlIFeBvopapbC9s1SFoylyOl3g9V3aeqzYF6uP/0TyjkuklThpIUHFYD9QNe1wPWJigvBVLVtf7nBuBd3Idpva/K439u8LsXVKZkKWu08r3aP8+bHhequt7/ge8HRuLeEwi/HH/gmmzK5EmPOhEpi/tCfU1V3/HJKfd+BCtHKr4fPt+bgWxcn0NB1z2QV7/9EFwzZ/z/1qPZ+ZLMD9ySqCtwnTm5HTdNE52vPHmsDFQNeP4Vrq/gCQ7uSHzcP7+QgzsSv/bpNYGfcZ2INfzzmnHIfwMO7siNWr6BOX7f3A7QjnEsR52A53fh2n4BmnJwJ+EKXAdhgZ814E0O7oi8JQb5F1w/wNN50lPq/SikHCnzfgCHAdX984rA58DfCroucCsHd0hPiLRsxc57rP7AkvGBG5XxE67Nr2+i8xMkf8f4N/c7YHFuHnFtjh8DS/3P3D9QAYb78iwEWgSc6wZcp9Uy4Po45P0NXBV/L+6/mW7RzDfQAljkj3kWf3d/nMrxis/nAmBini+nvj5PPxIwYqegz5p/j7/25XsTKB+DMpyNa1pYAMz3j46p9n4UUo6UeT+Ak4B5Pq+LgH8Vdl2ggn+9zG8/JtKyFfdh02cYY4zJpyT1ORhjjAmRBQdjjDH5WHAwxhiTjwUHY4wx+VhwMMYYk48FB2OMMflYcDDGGJPP/wcNAZmlfGcF4gAAAABJRU5ErkJggg==\n", 1996 | "text/plain": [ 1997 | "
" 1998 | ] 1999 | }, 2000 | "metadata": { 2001 | "needs_background": "light" 2002 | }, 2003 | "output_type": "display_data" 2004 | }, 2005 | { 2006 | "name": "stdout", 2007 | "output_type": "stream", 2008 | "text": [ 2009 | "**** P = 4 ****\n" 2010 | ] 2011 | }, 2012 | { 2013 | "data": { 2014 | "image/png": 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\n", 2015 | "text/plain": [ 2016 | "
" 2017 | ] 2018 | }, 2019 | "metadata": { 2020 | "needs_background": "light" 2021 | }, 2022 | "output_type": "display_data" 2023 | }, 2024 | { 2025 | "name": "stdout", 2026 | "output_type": "stream", 2027 | "text": [ 2028 | "**** P = 5 ****\n" 2029 | ] 2030 | }, 2031 | { 2032 | "data": { 2033 | "image/png": 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\n", 2034 | "text/plain": [ 2035 | "
" 2036 | ] 2037 | }, 2038 | "metadata": { 2039 | "needs_background": "light" 2040 | }, 2041 | "output_type": "display_data" 2042 | }, 2043 | { 2044 | "name": "stdout", 2045 | "output_type": "stream", 2046 | "text": [ 2047 | "**** P = 6 ****\n" 2048 | ] 2049 | }, 2050 | { 2051 | "data": { 2052 | "image/png": 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\n", 2053 | "text/plain": [ 2054 | "
" 2055 | ] 2056 | }, 2057 | "metadata": { 2058 | "needs_background": "light" 2059 | }, 2060 | "output_type": "display_data" 2061 | }, 2062 | { 2063 | "name": "stdout", 2064 | "output_type": "stream", 2065 | "text": [ 2066 | "**** P = 7 ****\n" 2067 | ] 2068 | }, 2069 | { 2070 | "data": { 2071 | "image/png": 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\n", 2072 | "text/plain": [ 2073 | "
" 2074 | ] 2075 | }, 2076 | "metadata": { 2077 | "needs_background": "light" 2078 | }, 2079 | "output_type": "display_data" 2080 | }, 2081 | { 2082 | "name": "stdout", 2083 | "output_type": "stream", 2084 | "text": [ 2085 | "**** P = 8 ****\n" 2086 | ] 2087 | }, 2088 | { 2089 | "data": { 2090 | "image/png": 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\n", 2091 | "text/plain": [ 2092 | "
" 2093 | ] 2094 | }, 2095 | "metadata": { 2096 | "needs_background": "light" 2097 | }, 2098 | "output_type": "display_data" 2099 | }, 2100 | { 2101 | "name": "stdout", 2102 | "output_type": "stream", 2103 | "text": [ 2104 | "**** P = 9 ****\n" 2105 | ] 2106 | }, 2107 | { 2108 | "data": { 2109 | "image/png": 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\n", 2110 | "text/plain": [ 2111 | "
" 2112 | ] 2113 | }, 2114 | "metadata": { 2115 | "needs_background": "light" 2116 | }, 2117 | "output_type": "display_data" 2118 | }, 2119 | { 2120 | "name": "stdout", 2121 | "output_type": "stream", 2122 | "text": [ 2123 | "**** P = 10 ****\n" 2124 | ] 2125 | }, 2126 | { 2127 | "data": { 2128 | "image/png": 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\n", 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" 2131 | ] 2132 | }, 2133 | "metadata": { 2134 | "needs_background": "light" 2135 | }, 2136 | "output_type": "display_data" 2137 | } 2138 | ], 2139 | "source": [ 2140 | "l_test = [i for i in range(1,11)]\n", 2141 | "evolution(l_test)" 2142 | ] 2143 | }, 2144 | { 2145 | "cell_type": "code", 2146 | "execution_count": null, 2147 | "metadata": {}, 2148 | "outputs": [], 2149 | "source": [] 2150 | } 2151 | ], 2152 | "metadata": { 2153 | "kernelspec": { 2154 | "display_name": "Python 3", 2155 | "language": "python", 2156 | "name": "python3" 2157 | }, 2158 | "language_info": { 2159 | "codemirror_mode": { 2160 | "name": "ipython", 2161 | "version": 3 2162 | }, 2163 | "file_extension": ".py", 2164 | "mimetype": "text/x-python", 2165 | "name": "python", 2166 | "nbconvert_exporter": "python", 2167 | "pygments_lexer": "ipython3", 2168 | "version": "3.7.3" 2169 | } 2170 | }, 2171 | "nbformat": 4, 2172 | "nbformat_minor": 2 2173 | } 2174 | -------------------------------------------------------------------------------- /Limit Order Books Simulator.ipynb: -------------------------------------------------------------------------------- 1 | { 2 | "cells": [ 3 | { 4 | "cell_type": "markdown", 5 | "metadata": {}, 6 | "source": [ 7 | "# Lab 3: Modelling order books.\n", 8 | "\n", 9 | "Jeremy Marck, Nam Nguyen." 10 | ] 11 | }, 12 | { 13 | "cell_type": "markdown", 14 | "metadata": {}, 15 | "source": [ 16 | "## 2. Implementation.\n", 17 | "\n", 18 | "This section is dedicated to the implementation of the Algorithm 1 (simulation of the limit order book).\n", 19 | "\n", 20 | "The following function implements the algorithm purposed and returns a pandas DataFrame, which gives, at each time: ask and bid prices, the spread, ask and bid volumes, mid and weighted mid prices and the case.\n", 21 | "\n", 22 | "Other returns are lists of probabilities so as to realize sanity check. " 23 | ] 24 | }, 25 | { 26 | "cell_type": "code", 27 | "execution_count": 1, 28 | "metadata": {}, 29 | "outputs": [], 30 | "source": [ 31 | "import numpy as np\n", 32 | "import matplotlib.pyplot as plt\n", 33 | "import pandas as pd" 34 | ] 35 | }, 36 | { 37 | "cell_type": "code", 38 | "execution_count": 2, 39 | "metadata": {}, 40 | "outputs": [], 41 | "source": [ 42 | "def orderbooksimulation(N,K,mu,lamda,theta,init,T):\n", 43 | " t = 0\n", 44 | " x = np.zeros(N)\n", 45 | " l_c = []\n", 46 | " for i in range(N):\n", 47 | " x[i] = init[i]\n", 48 | " l_bid_price = []\n", 49 | " l_ask_price = []\n", 50 | " l_bid_volume = []\n", 51 | " l_ask_volume = []\n", 52 | " l_case = []\n", 53 | " mid_price = []\n", 54 | " spread = []\n", 55 | " weighted_mid_price = []\n", 56 | " l_time = []\n", 57 | " bmo = 0\n", 58 | " amo = 0\n", 59 | " blo = 0\n", 60 | " alo = 0\n", 61 | " total = 0\n", 62 | " bid_shape=[]\n", 63 | " ask_shape=[]\n", 64 | " while t < T:\n", 65 | " l_time.append(t)\n", 66 | " bid_price = np.argwhere(x <- 0.5)[-1][0]\n", 67 | " ask_price = np.argwhere(x > 0.5)[0][0]\n", 68 | " z=x[x!=0]\n", 69 | " now_price = np.argwhere(z <- 0.5)[-1][0]\n", 70 | " bid_shape.append(z[now_price-9:now_price+1])\n", 71 | " ask_shape.append(z[now_price+1:now_price+11])\n", 72 | " l_bid_price.append(bid_price)\n", 73 | " l_ask_price.append(ask_price)\n", 74 | " l_bid_volume.append(x[bid_price])\n", 75 | " l_ask_volume.append(x[ask_price])\n", 76 | " mid_price.append((bid_price + ask_price)/2)\n", 77 | " spread.append(ask_price - bid_price)\n", 78 | " weighted_mid_price.append((ask_price * x[ask_price] - bid_price * x[bid_price])/(x[ask_price] - x[bid_price]))\n", 79 | " if bid_price + K < N: \n", 80 | " ask_window = np.arange(bid_price + 1,bid_price + K + 1)\n", 81 | " else: \n", 82 | " ask_window = np.arange(bid_price + 1,N)\n", 83 | " if ask_price - K > 0:\n", 84 | " bid_window = np.arange(ask_price - K,ask_price)\n", 85 | " else: \n", 86 | " bid_window = np.arange(0,ask_price-1)\n", 87 | " intensity_vector = [mu,mu,K * lamda,K * lamda,theta * sum(abs(x[bid_window])),theta * sum(abs(x[ask_window]))]\n", 88 | " probas = intensity_vector/sum(intensity_vector)\n", 89 | " delta = np.random.exponential(1./max(intensity_vector))\n", 90 | " case = np.random.choice(np.arange(0,6),p = intensity_vector/sum(intensity_vector))\n", 91 | " total += 1\n", 92 | " if case == 0:\n", 93 | " x[ask_price] -= 1\n", 94 | " bmo += 1\n", 95 | " elif case == 1:\n", 96 | " x[bid_price] += 1\n", 97 | " amo += 1\n", 98 | " elif case == 2:\n", 99 | " x[np.random.choice(bid_window)] -= 1\n", 100 | " blo += 1\n", 101 | " elif case == 3:\n", 102 | " x[np.random.choice(ask_window)] += 1\n", 103 | " alo += 1\n", 104 | " elif case == 4:\n", 105 | " x[np.random.choice(bid_window,p = x[bid_window]/sum(x[bid_window]))] += 1\n", 106 | " elif case == 5:\n", 107 | " x[np.random.choice(ask_window,p = x[ask_window]/sum(x[ask_window]))] -= 1\n", 108 | " l_case.append(case)\n", 109 | " t = t + delta\n", 110 | " d = {'Time': l_time, 'Ask price': l_ask_price,'Bid price': l_bid_price, 'Bid_volume': l_bid_volume,'Ask_volume':l_ask_volume,'Spread': spread,'Mid price':mid_price,'Weighted mid price':weighted_mid_price,'Case':l_case}\n", 111 | " df = pd.DataFrame(data = d) \n", 112 | " l = [bmo/total,amo/total,blo/total,alo/total,total]\n", 113 | " \n", 114 | " return df, l,probas,bid_shape,ask_shape" 115 | ] 116 | }, 117 | { 118 | "cell_type": "markdown", 119 | "metadata": {}, 120 | "source": [ 121 | "## 3. Sanity check.\n", 122 | "\n", 123 | "This section is dedicated to the verification of the implementation of our order book. " 124 | ] 125 | }, 126 | { 127 | "cell_type": "code", 128 | "execution_count": 3, 129 | "metadata": {}, 130 | "outputs": [], 131 | "source": [ 132 | "# Runing the algorithm.\n", 133 | "Y = np.zeros(1000)\n", 134 | "Y[range(500)] =- 10\n", 135 | "Y[range(500,999)] = 10\n", 136 | "b = orderbooksimulation(1000,10,2.5,1,0.2,Y,10000)" 137 | ] 138 | }, 139 | { 140 | "cell_type": "markdown", 141 | "metadata": {}, 142 | "source": [ 143 | "### 3.1. Printing a small extract of the csv output." 144 | ] 145 | }, 146 | { 147 | "cell_type": "code", 148 | "execution_count": 4, 149 | "metadata": {}, 150 | "outputs": [ 151 | { 152 | "data": { 153 | "text/html": [ 154 | "
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TimeAsk priceBid priceBid_volumeAsk_volumeSpreadMid priceWeighted mid priceCase
00.000000500499-10.010.01499.5499.5000004
10.018183500499-10.010.01499.5499.5000005
20.134568500499-10.010.01499.5499.5000005
30.142438500499-10.010.01499.5499.5000001
40.248519500499-9.010.01499.5499.5263165
\n", 246 | "
" 247 | ], 248 | "text/plain": [ 249 | " Time Ask price Bid price Bid_volume Ask_volume Spread Mid price \\\n", 250 | "0 0.000000 500 499 -10.0 10.0 1 499.5 \n", 251 | "1 0.018183 500 499 -10.0 10.0 1 499.5 \n", 252 | "2 0.134568 500 499 -10.0 10.0 1 499.5 \n", 253 | "3 0.142438 500 499 -10.0 10.0 1 499.5 \n", 254 | "4 0.248519 500 499 -9.0 10.0 1 499.5 \n", 255 | "\n", 256 | " Weighted mid price Case \n", 257 | "0 499.500000 4 \n", 258 | "1 499.500000 5 \n", 259 | "2 499.500000 5 \n", 260 | "3 499.500000 1 \n", 261 | "4 499.526316 5 " 262 | ] 263 | }, 264 | "execution_count": 4, 265 | "metadata": {}, 266 | "output_type": "execute_result" 267 | } 268 | ], 269 | "source": [ 270 | "data = b[0]\n", 271 | "data.head()" 272 | ] 273 | }, 274 | { 275 | "cell_type": "markdown", 276 | "metadata": {}, 277 | "source": [ 278 | "Orders are correctly processed." 279 | ] 280 | }, 281 | { 282 | "cell_type": "markdown", 283 | "metadata": {}, 284 | "source": [ 285 | "## 3.2. Checking that the number of bid and ask market and limit orders in the simulation is correct.\n", 286 | "\n", 287 | "Realized by using the ouput of the orderbooksimulation function.\n", 288 | "\n", 289 | "We use the orderbooksimulation function that returns the list (l) of events performed in occurrences that we compare with the list of probabilities (probas). Everything seems to work." 290 | ] 291 | }, 292 | { 293 | "cell_type": "code", 294 | "execution_count": 5, 295 | "metadata": {}, 296 | "outputs": [ 297 | { 298 | "name": "stdout", 299 | "output_type": "stream", 300 | "text": [ 301 | "Realization: 0.063 versus probability: 0.065\n", 302 | "Realization: 0.063 versus probability: 0.065\n", 303 | "Realization: 0.248 versus probability: 0.262\n", 304 | "Realization: 0.25 versus probability: 0.262\n" 305 | ] 306 | } 307 | ], 308 | "source": [ 309 | "for i in range(4):\n", 310 | " print('Realization:', round(b[1][i],3), 'versus probability:', round(b[2][i],3))" 311 | ] 312 | }, 313 | { 314 | "cell_type": "markdown", 315 | "metadata": {}, 316 | "source": [ 317 | "## 3.3. Checking the placement of limit order books in the simulation is correct (uniform distribution).\n", 318 | "\n", 319 | "One should recall that limit orders correspond to cases 3 and 4.\n", 320 | "\n", 321 | "We perform the algoritm 10 times with an horizon $T = 10 000$ to check that the placement of limit orders is stable." 322 | ] 323 | }, 324 | { 325 | "cell_type": "code", 326 | "execution_count": 6, 327 | "metadata": {}, 328 | "outputs": [ 329 | { 330 | "name": "stdout", 331 | "output_type": "stream", 332 | "text": [ 333 | "Simulation 1\n", 334 | "Placement of limit order: 0.498\n", 335 | "Associated intensities (probas) 0.465\n", 336 | "****************\n", 337 | "Simulation 2\n", 338 | "Placement of limit order: 0.498\n", 339 | "Associated intensities (probas) 0.498\n", 340 | "****************\n", 341 | "Simulation 3\n", 342 | "Placement of limit order: 0.498\n", 343 | "Associated intensities (probas) 0.463\n", 344 | "****************\n", 345 | "Simulation 4\n", 346 | "Placement of limit order: 0.499\n", 347 | "Associated intensities (probas) 0.513\n", 348 | "****************\n", 349 | "Simulation 5\n", 350 | "Placement of limit order: 0.498\n", 351 | "Associated intensities (probas) 0.488\n", 352 | "****************\n", 353 | "Simulation 6\n", 354 | "Placement of limit order: 0.498\n", 355 | "Associated intensities (probas) 0.498\n", 356 | "****************\n", 357 | "Simulation 7\n", 358 | "Placement of limit order: 0.498\n", 359 | "Associated intensities (probas) 0.513\n", 360 | "****************\n", 361 | "Simulation 8\n", 362 | "Placement of limit order: 0.499\n", 363 | "Associated intensities (probas) 0.472\n", 364 | "****************\n", 365 | "Simulation 9\n", 366 | "Placement of limit order: 0.498\n", 367 | "Associated intensities (probas) 0.483\n", 368 | "****************\n", 369 | "Simulation 10\n", 370 | "Placement of limit order: 0.498\n", 371 | "Associated intensities (probas) 0.508\n", 372 | "****************\n", 373 | "Final Check:\n", 374 | "*********\n", 375 | "Mean of placement of limit order books: 0.5\n", 376 | "Standard deviation of placement of limit order books 0.0\n", 377 | "Mean of associated probas: 0.49\n", 378 | "Standard deviation of associated probas 0.02\n" 379 | ] 380 | } 381 | ], 382 | "source": [ 383 | "l_placements = []\n", 384 | "l_probas = []\n", 385 | "for i in range(1,11):\n", 386 | " print('Simulation', i)\n", 387 | " Y = np.zeros(1000)\n", 388 | " Y[range(500)] =- 10\n", 389 | " Y[range(500,999)] = 10\n", 390 | " b = orderbooksimulation(1000,10,2.5,1,0.2,Y,10000)\n", 391 | " data = b[0]\n", 392 | " somme = 0\n", 393 | " for i in range(len(data)):\n", 394 | " if data['Case'][i] == 2 or data['Case'][i] == 3:\n", 395 | " somme += 1\n", 396 | " print('Placement of limit order:', round(somme/len(data),3))\n", 397 | " print('Associated intensities (probas)', round(b[2][2] + b[2][3],3))\n", 398 | " l_placements.append(somme/len(data))\n", 399 | " l_probas.append(b[2][2] + b[2][3])\n", 400 | " print('****************')\n", 401 | "print('Final Check:')\n", 402 | "print('*********')\n", 403 | "print('Mean of placement of limit order books:', round(np.mean(l_placements),2))\n", 404 | "print('Standard deviation of placement of limit order books', round(np.std(l_placements),2))\n", 405 | "print('Mean of associated probas:', round(np.mean(l_probas),2))\n", 406 | "print('Standard deviation of associated probas', round(np.std(l_probas),2))" 407 | ] 408 | }, 409 | { 410 | "cell_type": "markdown", 411 | "metadata": {}, 412 | "source": [ 413 | "Hence the distribution of placement of limit order books is uniformly distributed and very stable." 414 | ] 415 | }, 416 | { 417 | "cell_type": "markdown", 418 | "metadata": {}, 419 | "source": [ 420 | "# 4. Main analysis." 421 | ] 422 | }, 423 | { 424 | "cell_type": "markdown", 425 | "metadata": {}, 426 | "source": [ 427 | "## 4.1. Shape of the simulated LOB." 428 | ] 429 | }, 430 | { 431 | "cell_type": "code", 432 | "execution_count": 7, 433 | "metadata": {}, 434 | "outputs": [], 435 | "source": [ 436 | "# Runing the algorithm\n", 437 | "Y = np.zeros(1000)\n", 438 | "Y[range(500)] =- 10\n", 439 | "Y[range(500,999)] = 10\n", 440 | "b, a, c, bid_shape, ask_shape = orderbooksimulation(1000,10,2.5,1,0.2,Y,10000)\n" 441 | ] 442 | }, 443 | { 444 | "cell_type": "code", 445 | "execution_count": 8, 446 | "metadata": {}, 447 | "outputs": [], 448 | "source": [ 449 | "bid_final = sum(bid_shape)/len(bid_shape)\n", 450 | "ask_final = sum(ask_shape)/len(bid_shape)" 451 | ] 452 | }, 453 | { 454 | "cell_type": "code", 455 | "execution_count": 9, 456 | "metadata": {}, 457 | "outputs": [ 458 | { 459 | "data": { 460 | "image/png": "iVBORw0KGgoAAAANSUhEUgAAAW4AAAEICAYAAAB/Dx7IAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAFB9JREFUeJzt3Xu0bXVd9/H3hwMIylXYmVy3lfoMcpjVEQUdXjATQdOKpyCldPg8J3sybQzSKEeJ+pR0Y3RzZKeLVgqFF8w4SZCBVg+iBzpIQCbKMW7FAeTmHfo+f6y5dZ111mUuzl7nnB/n/Rpjjb3WnPM3f98515yf/VtzrbV3qgpJUjv22NkFSJLmY3BLUmMMbklqjMEtSY0xuCWpMQa3JDXG4NbCJXlOkptXcX3vSvJ/V2t9Q+s9K8m7t3Mdq7qt0jgGt6ZK8ook1yT5UpL/TPIHSQ7a2XVJuzODWxMlOQP4NeD1wIHA04GjgUuS7D2hzZ6rXMOqrk96ODC4NVaSA4A3Az9TVRdV1derajPwIwzC++XdcmcleV+Sdye5F3hFkn27yxlfSHId8NSRdR+W5P1JtiS5Mclrh+Zts74JJR6a5JIk9yX5aJKjh9ZxfJJPJrmn+3n8SN8fSnJXkhuS/O8J279XkvO6Orf5JZXkpCTXdf3fkuTnRuafkeT2JLcleeXQ9JOT/EuSe5PclOSsoXnLSSrJuiS3dm3PGJq/R5Izk3w2yZ1Jzk/y6An7Rw9jBrcmOR7YB/jA8MSquh/4MPD8ockvAd4HHAS8B3gT8O3d7QXAT6wsmGQP4G+Aq4HDgecBP5vkBVPWN87LgLcChwKbVpbrgmwD8LvAIcA5wIYkh3TtzgNuBg4DTgF+NcnzhlecZF/gg8BXgR+pqq+N6f9PgJ+sqv2BJwH/MDTvWxm8QjkceBXw9iQHd/O+CPx4t20nAz+V5KUj634u8Hjg+4Ezk3xfN/21wEuBZ3f1fwF4+4T9o4cxg1uTHArcUVUPjJl3Wzd/xeVV9cGq+u+q+jKDUfmvVNVdVXUTgxBd8VRgqareUlVfq6rPAX8EnDplfeNsqKqPVdVXgTcCxyU5kkEYfqaq/qKqHqiq84B/A17czX8m8PNV9ZWq2gT8MXD60HoPAC4CPgu8sqoenND/14FjkhxQVV+oqqtG5r2le5Xyt8D9wBMBquqyqrqm27ZPMfhF8uyRdb+5qr5YVdcA7wRO66b/JPDGqrq52+6zgFO8nLT7Mbg1yR0MLkeMC4XHdvNX3DQy/7CRaZ8fun80cFiSu1duwC8Cj5myvnG+sUz3KuCurt/DRvpb6f/wbt5dVXXfmHkrng48GTi7pv8Fth8GTgI+312qOW5o3p0jv/C+BOwHkORpSS7tLhPdA7yarX8JbrVtXX2HdfePBi4Y2m/XAw+y9b7TbsDg1iSXM7hU8EPDE5M8Cngh8JGhyaMBdxtw5NDjo4bu3wTcWFUHDd32r6qTpqxvnG+sP8l+wKOBW7vb0SPLHgXc0s17dJL9x8xbcTHwNuAjSSYGYlV9sqpeAnwLg8sq5/eoGeBc4EPAkVV1IPAOIJO2ravv1u7+TcALR/bdPlV1C9qtGNwaq6ruYfDm5O8lObF7s24ZeC+Da8R/MaX5+cAvJDk4yRHAzwzN+wRwb5Kf797EXJPkSUmeOn5VE52U5JndG4dvBa7oLsv8LfCEJD+WZM8kPwocA1zYzf9/wNuS7JPkyQyuQW91Hb2qfp1BwH4kyehomCR7J3lZkgOr6uvAvQxGvn3sz2DU/5UkxwI/NmaZX0ryyCTfCbwS+Ktu+juAX1l5IzbJUpKX9OxXDyMGtybqAuwXgd9kEE5XMBj1Pa+7xjrJmxm8xL+RwQj2GyHfXTN+MfCUbv4dDK4zHzhneecyeBP0LuB7GbxZSVXdCbwIOAO4E3gD8KKqWrm0cxqwzGAUewHwpqq6ZMy2v5XBSPrvJ3xy43Rgc/fJl1fTfcqmh/8DvCXJfcAvM36k/lHgBgavan6zqi7upv8Og9H6xV37jwNP69mvHkbiP1KQdg3dK5obgb0mvCksAY64Jak5BrckNcZLJZLUGEfcktSYhXzj6tBDD63l5eVFrFqSHpauvPLKO6pqqc+yCwnu5eVlNm7cuIhVS9LDUpLRb/xO5KUSSWqMwS1JjTG4JakxBrckNcbglqTGGNyS1BiDW5IaY3BLUmMMbklqzC73T0aXz9ww1/Kbzz55QZVI0q7JEbckNcbglqTGGNyS1BiDW5IaY3BLUmMMbklqjMEtSY0xuCWpMQa3JDVml/vm5PbwW5eSdgeOuCWpMQa3JDXG4JakxhjcktQYg1uSGmNwS1JjHlYfB9xe2/NxQj+KKGlHccQtSY0xuCWpMb0ulSTZDNwHPAg8UFVrF1nU7mbeyyzgpRZpdzbPNe7nVtUdC6tEktSLl0okqTF9R9wFXJykgD+sqvWjCyRZB6wDOOqoo1avQkm7t7MOnHP5exZTxy6k74j7GVX1PcALgZ9O8qzRBapqfVWtraq1S0tLq1qkJOmbeo24q+rW7uftSS4AjgU+tsjCJO1C5h31wtYjX0fNq2pmcCd5FLBHVd3X3f9+4C0Lr0y9+eUfaffSZ8T9GOCCJCvLn1tVFy20Kkmrb3cc9W7vK4Vd1MzgrqrPAd+1A2qRJPXg3yqRpEl20Vcpfo5bkhpjcEtSYwxuSWqMwS1JjTG4JakxfqpEasku+ikH7ViOuCWpMY64d3N+XV5qjyNuSWqMwS1JjTG4JakxBrckNcbglqTGGNyS1BiDW5IaY3BLUmMMbklqjMEtSY0xuCWpMQa3JDXG4JakxhjcktQYg1uSGmNwS1Jj/EcKesjm/ScM4D9imPtfj4H/fkzbcMQtSY0xuCWpMb2DO8maJP+S5MJFFiRJmm6eEffrgOsXVYgkqZ9ewZ3kCOBk4I8XW44kaZa+I+7fBt4A/PekBZKsS7IxycYtW7asSnGSpG3NDO4kLwJur6orpy1XVeuram1VrV1aWlq1AiVJW+sz4n4G8ANJNgN/CZyQ5N0LrUqSNNHM4K6qX6iqI6pqGTgV+IeqevnCK5MkjeXnuCWpMXN95b2qLgMuW0glkqReHHFLUmMMbklqjMEtSY0xuCWpMQa3JDXG4JakxhjcktQYg1uSGmNwS1JjDG5JaozBLUmNmetvlUirafnMDXMtv/nskxdUidQWR9yS1BhH3NK8zjpwzuXvWUwd2m054pakxhjcktQYg1uSGmNwS1JjDG5JaozBLUmNMbglqTEGtyQ1xuCWpMYY3JLUGINbkhpjcEtSYwxuSWrMzOBOsk+STyS5Osm1Sd68IwqTJI3X58+6fhU4oaruT7IX8E9JPlxVH19wbZKkMWYGd1UVcH/3cK/uVossSpI0Wa9r3EnWJNkE3A5cUlVXLLYsSdIkvYK7qh6sqqcARwDHJnnS6DJJ1iXZmGTjli1bVrtOSVJnrk+VVNXdwGXAiWPmra+qtVW1dmlpaZXKkySN6vOpkqUkB3X39wW+D/i3RRcmSRqvz6dKHgv8WZI1DIL+/Kq6cLFlSZIm6fOpkk8B370DapEk9eA3JyWpMQa3JDXG4JakxhjcktQYg1uSGmNwS1JjDG5JaozBLUmNMbglqTEGtyQ1xuCWpMYY3JLUGINbkhpjcEtSYwxuSWqMwS1JjTG4JakxBrckNcbglqTGGNyS1BiDW5IaM/O/vEu7ouUzN8y1/OazT15QJdKOZ3Br93TWgXMuf89i6pAeAi+VSFJjDG5JaozBLUmNMbglqTEGtyQ1ZmZwJzkyyaVJrk9ybZLX7YjCJEnj9fk44APAGVV1VZL9gSuTXFJV1y24NknSGDNH3FV1W1Vd1d2/D7geOHzRhUmSxpvrGneSZeC7gSvGzFuXZGOSjVu2bFmd6iRJ2+gd3En2A94P/GxV3Ts6v6rWV9Xaqlq7tLS0mjVKkob0Cu4kezEI7fdU1QcWW5IkaZo+nyoJ8CfA9VV1zuJLkiRN02fE/QzgdOCEJJu620kLrkuSNMHMjwNW1T8B2QG1SJJ68JuTktQYg1uSGmNwS1JjDG5JaozBLUmNMbglqTEGtyQ1xuCWpMYY3JLUGINbkhpjcEtSYwxuSWqMwS1JjTG4JakxBrckNcbglqTGGNyS1BiDW5IaY3BLUmMMbklqjMEtSY0xuCWpMQa3JDXG4JakxhjcktQYg1uSGmNwS1JjDG5JaszM4E7yp0luT/KvO6IgSdJ0fUbc7wJOXHAdkqSeZgZ3VX0MuGsH1CJJ6mHVrnEnWZdkY5KNW7ZsWa3VSpJGrFpwV9X6qlpbVWuXlpZWa7WSpBF+qkSSGmNwS1Jj+nwc8DzgcuCJSW5O8qrFlyVJmmTPWQtU1Wk7ohBJUj9eKpGkxhjcktQYg1uSGmNwS1JjDG5JaozBLUmNMbglqTEGtyQ1xuCWpMYY3JLUGINbkhpjcEtSYwxuSWqMwS1JjTG4JakxBrckNcbglqTGGNyS1BiDW5IaY3BLUmMMbklqjMEtSY0xuCWpMQa3JDXG4JakxhjcktQYg1uSGmNwS1JjegV3khOTfDrJDUnOXHRRkqTJZgZ3kjXA24EXAscApyU5ZtGFSZLG6zPiPha4oao+V1VfA/4SeMliy5IkTZKqmr5AcgpwYlX9r+7x6cDTquo1I8utA9Z1D58IfHqVaz0UuGMntN2Zfbda987s27p3n75brXuSo6tqqc+Ce/ZYJmOmbZP2VbUeWN+n04ciycaqWruj2+7Mvlute2f2bd27T9+t1r0a+lwquRk4cujxEcCtiylHkjRLn+D+JPD4JI9LsjdwKvChxZYlSZpk5qWSqnogyWuAvwPWAH9aVdcuvLJtbc9lmO29hLOz+m617p3Zt3XvPn23Wvd2m/nmpCRp1+I3JyWpMQa3JDVmlwjuJA8m2ZTk6iRXJTl+aN5FSe5OcuFIm8cluSLJZ5L8VffG6ax1/VqSf+1uPzpnHb+e5Nok1yf53STp0zbJc7vpK7evJHnpnH0fleTiru/rkizP0fbBob7Hvqk8rX03/4AktyT5/b5tkxyd5Mpu3rVJXj1H26ckubxr96lxz1WP7R573Iy0/8EkleR/zNNuXNu+NU9pP3N/Tau7mz7xeeqx3TOPkyltpx6fU7a517kxo++p5+WMthPzYJ5jIxOyaKGqaqffgPuH7r8A+OjQ4+cBLwYuHGlzPnBqd/8dwE9NWxdwMnAJgzdkHwVsBA7oUwdwPPDPDN6cXQNcDjyn7zYMTX80cBfwyDn3wWXA87v7+422n9H2/tG+5um7m/Y7wLnA7/dtC+wNPGKo5s3AYT3bPgF4fHf/MOA24KDVOG7GHEP/CJw1T7txbfvWPKX9zP01re5Zz1OP7Z55nExpO/X4nFX3rHNjyj6beV5OaTs1D+Y5NpiQRYu87RIj7hEHAF9YeVBVHwHuG16g+616AvC+btKfAeN+Uw+v6xgGJ/YDVfVF4GrgxJ51FLAP3ckF7AX8V99tGHIK8OGq+tKUtlu1z+DvwuxZVZcAVNX9M9pP6ruvrdon+V7gMcDF87Stqq9V1Ve76Y9g9qu74bb/XlWf6e7fCtwOzPpG2czjZliS/YBnAK9i8BHXXu0mtZ2n5gnte+2vSXX3fZ4mte9jXNu+x2ePfqeeGxPa9zovJ7SdmAfzHBtzZNGq6vPNyR1h3ySbGDwJj2WwI6Y5BLi7qh7oHt8MHD5jXVcDb0pyDvBI4LnAdX3qqKrLk1zKYBQVBiOa6x/CNpwKnDNhmya1fwJwd5IPAI8D/h44s6oe7Nn3Pkk2Ag8AZ1fVB/v2nWQP4LeA0xmMNuapmyRHAhuA7wBe3wVar7ZD6ziWwYn52Xn67uGlwEVV9e9J7kryPVV11Wq0nVHzxPY99tfYtsAmZj9Ps2rvc5yM6/soZh+fM/cZ08+NSe37nJeT6p6WB/McG9OyaHEWPaTvc2Prl7zHAdfSfVSxm/Ychl6eMBjJ3DD0+EjgmlnrAt7I4CC/BHgP8Lo+dTA4kTYweBm4H4OXZM+acxseC2wB9ppnHzAYidwDfBuDX7TvB17Vt2+6l9td+83At8/R92uAN3TTX8HsSyXbbPdKDcAngMc8hH32aeDpq3HcjLTdwDdf3r8W+I0+7Xq0nVrzrPbT9tektn2ep1l99zxOxvU98/jsuc8mnhtT+p55Xs7Y5rF5MM+xwZQsWuRtoSvvXcTI9TUGL3e+ZcrOCoM/8LJn9/g44O/6rGto+rnASX3qAF4P/NLQ9F9eOVHm2IbXAevn3QfA04HLhqafDrx9nr6Hpr8LOGWOvt8D/AeDE/kO4F4Go7GH0vc7R/ue1pbBpY+rgP+5WsfN0PRDgC8Dn++27aZuOzOt3ay2PWue2veM/TWp7cznac6+tzlOprQ9rsfxOWt/zzo3JrXvc1723eZzgZPmPTaYkkWLvO1y17i7d3HXAHdOWqYGe+hSBr/tAX4C+Otp60qyJskh3fQnA09myvXAkTr+A3h2kj2T7AU8Gxj3kmzaNpwGnDepzZT2nwQOTrJyvfQEtr3EM7ZtkoOTPKKbfiiD63YT2462r6qXVdVRVbUM/Bzw51U18R9pjPR9RJJ9u+kHd31P/IuRI233Bi7o+nvvtHrHte+x+Cnduo+uquWqOhK4EXjmdrR9Vs+aJ/bdY39NavuOns/TtL5nHSeT2u7N7ONz1v6edW5Mav9IZp+XE5+vCXkw17HRN4tW3aJ/M/S5AQ8yeMmyicG1p5OH5v0jg5dRX2Zw/egF3fRvY/By8gbgvXzzHfmx62JwHfS67vZx4Cl962AQCH/I4KC4Djhnzm1YBm4B9niI++D5wKeAaxiMhvbuWffxXZuru5/bvISd1ffQMq9g/KWSSX2v1Hx193PdHG1fDnx9aN6meZ6vacdNN+8yBn+qeHhdrwX+YFq7GW1v7FnzpPbX99hfE+ue9TzNaH/prONkxj6bdXxOa7vM7HNjWvtZ5+Wktu9kTB48lGODCVm0yJtfeZekxuxyl0okSdMZ3JLUGINbkhpjcEtSYwxuSWqMwS1JjTG4Jakx/x9CFwS2pqwZKQAAAABJRU5ErkJggg==\n", 461 | "text/plain": [ 462 | "
" 463 | ] 464 | }, 465 | "metadata": { 466 | "needs_background": "light" 467 | }, 468 | "output_type": "display_data" 469 | } 470 | ], 471 | "source": [ 472 | "plt.bar(range(1,11),abs(bid_final))\n", 473 | "plt.bar(range(11,21),abs(ask_final))\n", 474 | "plt.title('Order book shape')\n", 475 | "plt.xticks(np.arange(1,21),labels=['B10','B9','B8','B7','B6','B5','B4','B3','B2','B1','A1','A2','A3','A4','A5','A6','A7','A8','A9','A10'])\n", 476 | "plt.show()" 477 | ] 478 | }, 479 | { 480 | "cell_type": "markdown", 481 | "metadata": {}, 482 | "source": [ 483 | "## 4.2. Plotting the spread distribution" 484 | ] 485 | }, 486 | { 487 | "cell_type": "code", 488 | "execution_count": 10, 489 | "metadata": {}, 490 | "outputs": [], 491 | "source": [ 492 | "# Runing the algorithm\n", 493 | "Y = np.zeros(1000)\n", 494 | "Y[range(500)] =- 10\n", 495 | "Y[range(500,999)] = 10\n", 496 | "b = orderbooksimulation(1000,10,2.5,1,0.2,Y,10000)\n", 497 | "data = b[0]" 498 | ] 499 | }, 500 | { 501 | "cell_type": "code", 502 | "execution_count": 11, 503 | "metadata": {}, 504 | "outputs": [ 505 | { 506 | "data": { 507 | "image/png": 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\n", 508 | "text/plain": [ 509 | "
" 510 | ] 511 | }, 512 | "metadata": { 513 | "needs_background": "light" 514 | }, 515 | "output_type": "display_data" 516 | } 517 | ], 518 | "source": [ 519 | "#Spread\n", 520 | "plt.plot(data['Time'],data['Spread'])\n", 521 | "plt.title('Spread distribution')\n", 522 | "plt.xlabel('Time')\n", 523 | "plt.ylabel('Spread')\n", 524 | "plt.grid(True)\n", 525 | "plt.show()" 526 | ] 527 | }, 528 | { 529 | "cell_type": "code", 530 | "execution_count": 12, 531 | "metadata": {}, 532 | "outputs": [ 533 | { 534 | "data": { 535 | "image/png": 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\n", 536 | "text/plain": [ 537 | "
" 538 | ] 539 | }, 540 | "metadata": { 541 | "needs_background": "light" 542 | }, 543 | "output_type": "display_data" 544 | } 545 | ], 546 | "source": [ 547 | "plt.scatter(data['Time'],data['Spread'])\n", 548 | "plt.title('Spread distribution - Scatter plot')\n", 549 | "plt.xlabel('Time')\n", 550 | "plt.ylabel('Spread')\n", 551 | "plt.grid(True)\n", 552 | "plt.show()" 553 | ] 554 | }, 555 | { 556 | "cell_type": "markdown", 557 | "metadata": {}, 558 | "source": [ 559 | "## 4.3. Plotting the Mid-price distribution at a large scale." 560 | ] 561 | }, 562 | { 563 | "cell_type": "code", 564 | "execution_count": 13, 565 | "metadata": {}, 566 | "outputs": [ 567 | { 568 | "data": { 569 | "image/png": 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\n", 570 | "text/plain": [ 571 | "
" 572 | ] 573 | }, 574 | "metadata": { 575 | "needs_background": "light" 576 | }, 577 | "output_type": "display_data" 578 | } 579 | ], 580 | "source": [ 581 | "plt.plot(data['Time'], data['Mid price'])\n", 582 | "plt.title('Evolution of the Mid price')\n", 583 | "plt.xlabel('Time')\n", 584 | "plt.ylabel('Mid price')\n", 585 | "plt.grid(True)\n", 586 | "plt.show()" 587 | ] 588 | }, 589 | { 590 | "cell_type": "markdown", 591 | "metadata": {}, 592 | "source": [ 593 | "## 4.4. Plotting the bid, ask and mid price at a small scale on the same graph." 594 | ] 595 | }, 596 | { 597 | "cell_type": "code", 598 | "execution_count": 14, 599 | "metadata": {}, 600 | "outputs": [ 601 | { 602 | "data": { 603 | "image/png": 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\n", 604 | "text/plain": [ 605 | "
" 606 | ] 607 | }, 608 | "metadata": { 609 | "needs_background": "light" 610 | }, 611 | "output_type": "display_data" 612 | } 613 | ], 614 | "source": [ 615 | "plt.plot(data['Mid price'][1000:1500], label = 'Mid price')\n", 616 | "plt.plot(data['Ask price'][1000:1500], label = 'Ask price')\n", 617 | "plt.plot(data['Bid price'][1000:1500], label = 'Bid price')\n", 618 | "plt.title('Bid,ask and mid price - Small scale')\n", 619 | "plt.xlabel('Time')\n", 620 | "plt.ylabel('Price level')\n", 621 | "plt.legend()\n", 622 | "plt.grid(True)\n", 623 | "plt.show()" 624 | ] 625 | }, 626 | { 627 | "cell_type": "markdown", 628 | "metadata": {}, 629 | "source": [ 630 | "Unsurprisingly, bid_price < mid_price < ask_price. " 631 | ] 632 | }, 633 | { 634 | "cell_type": "markdown", 635 | "metadata": {}, 636 | "source": [ 637 | "## 4.5. Adding the weighted mid-price." 638 | ] 639 | }, 640 | { 641 | "cell_type": "code", 642 | "execution_count": 15, 643 | "metadata": {}, 644 | "outputs": [ 645 | { 646 | "data": { 647 | "image/png": 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\n", 648 | "text/plain": [ 649 | "
" 650 | ] 651 | }, 652 | "metadata": { 653 | "needs_background": "light" 654 | }, 655 | "output_type": "display_data" 656 | } 657 | ], 658 | "source": [ 659 | "plt.plot(data['Mid price'][1000:1500], label = 'Mid price')\n", 660 | "plt.plot(data['Ask price'][1000:1500], label = 'Ask price')\n", 661 | "plt.plot(data['Bid price'][1000:1500], label = 'Bid price')\n", 662 | "plt.plot(data['Weighted mid price'][1000:1500], label = 'weighted mid price')\n", 663 | "plt.title('Bid,ask and mid price - Small scale')\n", 664 | "plt.xlabel('Time')\n", 665 | "plt.ylabel('Price level')\n", 666 | "plt.legend()\n", 667 | "plt.grid(True)\n", 668 | "plt.show()" 669 | ] 670 | }, 671 | { 672 | "cell_type": "markdown", 673 | "metadata": {}, 674 | "source": [ 675 | "The weighted mid price weight the price according to whether it is determined by the bid side or the ask side. It is a weighted mid price whose main interest consists in reproducing important variations from the ask side or the bid side." 676 | ] 677 | }, 678 | { 679 | "cell_type": "markdown", 680 | "metadata": {}, 681 | "source": [ 682 | "## 4.6. Plotting the distribution of mid-price increments." 683 | ] 684 | }, 685 | { 686 | "cell_type": "code", 687 | "execution_count": 16, 688 | "metadata": { 689 | "scrolled": true 690 | }, 691 | "outputs": [], 692 | "source": [ 693 | "# Building the mid-price increments.\n", 694 | "mid_price = data['Mid price']\n", 695 | "mid_price_diff = data['Mid price'].diff().dropna()\n", 696 | "#mid_price_diff = mid_price_diff.dropna()\n", 697 | "mid_price_diff_10 = data['Mid price'].diff(periods = 10).dropna()\n", 698 | "#mid_price_diff_10.dropna()\n", 699 | "mid_price_diff_30 = data['Mid price'].diff(periods = 30).dropna()\n", 700 | "#mid_price_diff_30.dropna()\n", 701 | "mid_price_diff_50 = data['Mid price'].diff(periods = 50).dropna()\n", 702 | "#mid_price_diff_50.dropna()" 703 | ] 704 | }, 705 | { 706 | "cell_type": "code", 707 | "execution_count": 17, 708 | "metadata": {}, 709 | "outputs": [ 710 | { 711 | "name": "stdout", 712 | "output_type": "stream", 713 | "text": [ 714 | "Values of mid-price increments: [ 0. -0.5 0.5 -1. 1. 1.5 -1.5 2. -2. 2.5 -2.5 -3. 3. ]\n", 715 | "Number of values: 13\n" 716 | ] 717 | } 718 | ], 719 | "source": [ 720 | "# Identifying increments values\n", 721 | "a = mid_price_diff.unique()\n", 722 | "print('Values of mid-price increments:',a)\n", 723 | "print('Number of values:', len(a))" 724 | ] 725 | }, 726 | { 727 | "cell_type": "code", 728 | "execution_count": 18, 729 | "metadata": {}, 730 | "outputs": [ 731 | { 732 | "data": { 733 | "image/png": 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\n", 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" 736 | ] 737 | }, 738 | "metadata": { 739 | "needs_background": "light" 740 | }, 741 | "output_type": "display_data" 742 | } 743 | ], 744 | "source": [ 745 | "# Plotting the distribution for the whole sample.\n", 746 | "plt.hist(mid_price_diff, bins = 13)\n", 747 | "plt.title('Distribution of mid-price increments - Whole sample')\n", 748 | "plt.xlabel('Values')\n", 749 | "plt.ylabel('Occurences')\n", 750 | "plt.grid(True)\n", 751 | "plt.show()" 752 | ] 753 | }, 754 | { 755 | "cell_type": "markdown", 756 | "metadata": {}, 757 | "source": [ 758 | "The vast majority of mid-price increments are 0." 759 | ] 760 | }, 761 | { 762 | "cell_type": "markdown", 763 | "metadata": {}, 764 | "source": [ 765 | "Let us plot the distribution for several sampling periods." 766 | ] 767 | }, 768 | { 769 | "cell_type": "markdown", 770 | "metadata": {}, 771 | "source": [ 772 | "By selecting some data intervals." 773 | ] 774 | }, 775 | { 776 | "cell_type": "code", 777 | "execution_count": 19, 778 | "metadata": {}, 779 | "outputs": [ 780 | { 781 | "data": { 782 | "image/png": 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\n", 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\n", 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8zgEOGFR2HbBXRPwRcC9wUmnc/RExPb2OK5WfAcwBpqbX4HmamVmTNSx5RMQNwBODyq6NiHXp7Y3Ajhuah6RJwDYR8auICOA84L2NiNfMzKpr5TGPo4GrS+93lfQ/kv5T0ttT2WRgRanOilRmZmYtpOIHfYNmLk0BroiIvQaVfwboAf4qIkLSFkBXRDwuaQZwKbAnsDvw1YjYP033duBTEfHuIZY3h6KLi+7u7hkLFy6sK+7+/n66urrqmrbddEpb2rkdSx5dm1W/ezysfr56/WmTt82MqHnaebvk6JR2wMjaMnPmzMUR0VOl7qZ1LWEEJB0FHAzsl7qiiIgXgBfS8GJJ9wNvpNjTKHdt7QisHGreEbEAWADQ09MTvb29dcXY19dHvdO2m05pSzu3Y/a8K7Pqz522jvlLqn/0lh/emxlR87TzdsnRKe2A5rWlqd1Wkg4ATgTeExHPlcq3lzQuDe9GcWD8gYhYBTwj6S3pLKsjgcuaGbOZma2vYXseki4AeoGJklYAX6A4u2oL4Lp0xu2N6cyqfYEvSVoHvAQcFxEDB9s/SnHm1niKYyTl4yRmZtYCDUseEXFYjeKzhqh7CXDJEOMWAXvVGmdmZq3hK8zNzCybk4eZmWVz8jAzs2xOHmZmli07eUjaRNI2jQjGzMzGhkrJQ9IPJG0jaSvgTuAeSf/Y2NDMzKxdVd3z2CMinqa4KeFVwM7AEQ2LyszM2lrV5LGZpM0oksdlEfEi0LibYpmZWVurmjy+CywHtgJukLQL8HSjgjIzs/ZW6QrziDgNOK1U9JCkmY0JyczM2l3VA+bdks6SdHV6vwdwVEMjMzOztlW12+oc4Bpgh/T+XuATjQjIzMzaX9XkMTEiLgJeBkiPkn2pYVGZmVlbq5o8npX0OtIZVpLeAuQ9Ps3MzDpG1VuyfxK4HPh9Sf8FbA8c2rCozMysrVU92+oWSX9O8UxxAfekaz3MzGwjVPVsq+OBrohYGhF3AF2SPtbY0MzMrF1VPebxkYh4auBNRDwJfKQxIZmZWburmjw2UXroOICkccDmjQnJzMzaXdUD5tcAF0n6DsUZV8cB/9GwqMzMrK1V3fM4EfgZ8FHgeOB64FPDTSTpbElrJN1RKnutpOsk3Zf+bpfKJek0Scsk3S7pTaVpjkr175PkK9vNzFqsUvKIiJcj4oyIODQi/joivhsRVS4SPAc4YFDZPOD6iJhKkYTmpfIDganpNQc4A4pkA3wB2AfYG/jCQMIxM7PWqHq21dvSXsK9kh6Q9KCkB4abLiJuAJ4YVHwIcG4aPpfiNu8D5edF4UZggqRJwDuB6yLiiXSg/jrWT0hmZtZEVY95nAX8PbCYkd+WpDsiVgFExCpJr0/lk4FHSvVWpLKhys3MrEWqJo+1EXF1QyMpLj4cLDZQvv4MpDkUXV50d3fT19dXVyD9/f11T9tuOqUt7dyOudPWZdXvHp83Tbu2G9p7u+TolHZA89pSNXn8XNLXgB8BLwwURsQtdSxztaRJaa9jErAmla8AdirV2xFYmcp7B5X31ZpxRCwAFgD09PREb29vrWrD6uvro95p202ntKWd2zF73pVZ9edOW8f8JVU/erD88N7MiJqnnbdLjk5pBzSvLVX/g/dJf3tKZQH8RR3LvJziWSCnpL+XlcpPkLQwLW9tSjDXAF8pHSR/B3BSHcs1M7NRUvXeVnU9NVDSBRR7DRMlraA4a+oUimtGjgEeBt6fql8FHAQsA54DPpyW/YSkLwM3p3pfiojBB+HNzKyJKiUPSd3AV4AdIuLA9CTBt0bEWRuaLiIOG2LUfjXqBsU1JLXmczZwdpVYzcys8fwkQTMzy+YnCZqZWTY/SdDMzLL5SYJmZpZt2OQhaRNgS8BPEjQzM6BC8oiIlyXNj4i3AkubEJOZmbW5qsc8rpX01+UHQpmZ2cYr55jHVsA6Sb+h6LqKiNimYZGZmVnbqnqF+daNDsTMzMaOqleY71urPD2vw8zMNjJVu63+sTS8JcUT/RZT340RzcxsjKvabfXu8ntJOwGnNiQiMzNre1XPthpsBbDXaAZiZmZjR9VjHv/GK0/v2wSYDtzWqKDMzKy9VT3msag0vA64ICL+qwHxmJnZGFA1eVwM/CYiXgKQNE7SayLiucaFZmZm7arqMY/rgfGl9+OBn45+OGZmNhZUTR5bRkT/wJs0/JrGhGRmZu0u53kebxp4I2kG8HxjQjIzs3ZX9ZjHJ4AfSlqZ3k8CPtiYkMzMrN1VvUjwZkl/wCvP87i73ud5SNoduLBUtBvweWAC8BHg16n80xFxVZrmJOAYikfffjwirqln2WZmNjoqdVtJOh7YKiLuiIglQJekj9WzwIi4JyKmR8R0YAbwHPDjNPqbA+NKiWMPYBawJ3AA8G1J4+pZtpmZjY6qxzw+EhFPDbyJiCcp9hJGaj/g/oh4aAN1DgEWRsQLEfEgsIzi3lpmZtYiVZPHJuUHQaVf/puPwvJnAReU3p8g6XZJZ0vaLpVNBh4p1VmRyszMrEUUEcNXkr4O7AJ8h+I2JR8FHo6IuXUvWNocWAnsGRGrJXUDj6X5fxmYFBFHS/oW8KuIOD9NdxZwVURcUmOec4A5AN3d3TMWLlxYV2z9/f10dXXVNW276ZS2tHM7ljy6Nqt+93hYnXGu4rTJ22ZG1DztvF1ydEo7YGRtmTlz5uKI6KlSt+rZVp+j6KY6juKA+bXAWXVF94oDgVsiYjXAwF8ASWcCV6S3K4CdStPtSJF01hMRC4AFAD09PdHb21tXYH19fdQ7bbvplLa0cztmz7syq/7caeuYv6TqRw+WH96bGVHztPN2ydEp7YDmtWWD3VaSNpV0KvAwMBt4A9ALTB1u2goOo9RlJWlSadz7gDvS8OXALElbSNo1LfumES7bzMxGYLifP18DtgZ2i4hnACRtDcwHvg78XT0LlfQa4C+BvykVnyppOkW31fKBcRGxVNJFwJ0UN2U8fuAeW2Zm1hrDJY+DgTdG6cBIRDwj6aPA3dSZPNINFV83qOyIDdQ/GTi5nmWZmdnoG67rKaLGEfX0y3/4I+1mZtaRhksed0o6cnChpA9R7HmYmdlGaLhuq+OBH0k6GlhMsbfxZopbsr+vwbGZmVmb2mDyiIhHgX0k/QXF7UEEXB0R1zcjODMza09Vb4z4M+BnDY7FzMzGiJFeq2FmZhshJw8zM8vm5GFmZtmcPMzMLJuTh5mZZXPyMDOzbE4eZmaWzcnDzMyyOXmYmVk2Jw8zM8vm5GFmZtmcPMzMLJuTh5mZZXPyMDOzbE4eZmaWzcnDzMyytSx5SFouaYmkWyUtSmWvlXSdpPvS3+1SuSSdJmmZpNslvalVcZuZWev3PGZGxPSI6Env5wHXR8RU4Pr0HuBAYGp6zQHOaHqkZmb2O61OHoMdApybhs8F3lsqPy8KNwITJE1qRYBmZgaKiNYsWHoQeBII4LsRsUDSUxExoVTnyYjYTtIVwCkR8ctUfj1wYkQsGjTPORR7JnR3d89YuHBhXbH19/fT1dVV17TtplPa0s7tWPLo2qz63eNh9fPV60+bvG1mRM3TztslR6e0A0bWlpkzZy4u9QRt0KZ1LWF0vC0iVkp6PXCdpLs3UFc1ytbLehGxAFgA0NPTE729vXUF1tfXR73TtptOaUs7t2P2vCuz6s+dto75S6p/9JYf3psZUfO083bJ0SntgOa1pWXdVhGxMv1dA/wY2BtYPdAdlf6uSdVXADuVJt8RWNm8aM3MrKwlyUPSVpK2HhgG3gHcAVwOHJWqHQVcloYvB45MZ129BVgbEauaHLaZmSWt6rbqBn4saSCGH0TEf0i6GbhI0jHAw8D7U/2rgIOAZcBzwIebH7KZmQ1oSfKIiAeAP65R/jiwX43yAI5vQmhmZlZBu52qa2ZmY4CTh5mZZXPyMDOzbE4eZmaWzcnDzMyyOXmYmVk2Jw8zM8vm5GFmZtmcPMzMLJuTh5mZZXPyMDOzbE4eZmaWzcnDzMyyOXmYmVk2Jw8zM8vm5GFmZtmcPMzMLJuTh5mZZXPyMDOzbE4eZmaWrenJQ9JOkn4u6S5JSyX9XSr/oqRHJd2aXgeVpjlJ0jJJ90h6Z7NjNjOzV9u0BctcB8yNiFskbQ0slnRdGvfNiPh6ubKkPYBZwJ7ADsBPJb0xIl5qatRmZvY7Td/ziIhVEXFLGn4GuAuYvIFJDgEWRsQLEfEgsAzYu/GRmpnZUBQRrVu4NAW4AdgL+CQwG3gaWESxd/KkpNOBGyPi/DTNWcDVEXFxjfnNAeYAdHd3z1i4cGFdcfX399PV1VXXtO2mU9rSzu1Y8ujarPrd42H189XrT5u8bWZEzdPO2yVHp7QDRtaWmTNnLo6Inip1W9FtBYCkLuAS4BMR8bSkM4AvA5H+zgeOBlRj8poZLyIWAAsAenp6ore3t67Y+vr6qHfadtMpbWnndsyed2VW/bnT1jF/SfWP3vLDezMjap523i45OqUd0Ly2tORsK0mbUSSO70fEjwAiYnVEvBQRLwNn8krX1Apgp9LkOwIrmxmvmZm9WivOthJwFnBXRHyjVD6pVO19wB1p+HJglqQtJO0KTAVuala8Zma2vlZ0W70NOAJYIunWVPZp4DBJ0ym6pJYDfwMQEUslXQTcSXGm1vE+08rMrLWanjwi4pfUPo5x1QamORk4uWFBmZlZFl9hbmZm2Zw8zMwsm5OHmZllc/IwM7NsTh5mZpbNycPMzLI5eZiZWTYnDzMzy+bkYWZm2Zw8zMwsm5OHmZllc/IwM7NsTh5mZpatZU8SNCubMszT+OZOW5f9xL6y5ae8q+5pO9lw6304w20Xr/fO5T0PMzPL5uRhZmbZnDzMzCybk4eZmWVz8jAzs2xOHmZmlm3MJA9JB0i6R9IySfNaHY+Z2cZsTFznIWkc8C3gL4EVwM2SLo+IO1sbWfsZfN7+SK+PKPM5+9ZORnqNStngz0mj/9dHM/bBzjlgq4bNu2xMJA9gb2BZRDwAIGkhcAjQkOSx5NG1o/aFO5i/gM2sEygiWh3DsCQdChwQEcem90cA+0TECYPqzQHmpLe7A/fUuciJwGN1TttuOqUtndIOcFvaUae0A0bWll0iYvsqFcfKnodqlK2X9SJiAbBgxAuTFkVEz0jn0w46pS2d0g5wW9pRp7QDmteWsXLAfAWwU+n9jsDKFsViZrbRGyvJ42ZgqqRdJW0OzAIub3FMZmYbrTHRbRUR6ySdAFwDjAPOjoilDVzkiLu+2kintKVT2gFuSzvqlHZAk9oyJg6Ym5lZexkr3VZmZtZGnDzMzCybkwcg6f2Slkp6WdKQp7hJWi5piaRbJS1qZoxVZbSlrW/3Ium1kq6TdF/6u90Q9V5K2+NWSW11EsVw61jSFpIuTOP/W9KU5kc5vArtmC3p16XtcGwr4qxC0tmS1ki6Y4jxknRaauvtkt7U7BirqNCOXklrS9vk86MeRERs9C/gDykuKuwDejZQbzkwsdXxjrQtFCcd3A/sBmwO3Abs0erYB8V4KjAvDc8D/mWIev2tjrXedQx8DPhOGp4FXNjquOtsx2zg9FbHWrE9+wJvAu4YYvxBwNUU15a9BfjvVsdcZzt6gSsaGYP3PICIuCsi6r0ava1UbMvvbvcSEb8FBm730k4OAc5Nw+cC721hLPWoso7LbbwY2E9SrQtiW2ks/K9UFhE3AE9soMohwHlRuBGYIGlSc6KrrkI7Gs7JI08A10panG6FMlZNBh4pvV+RytpJd0SsAkh/Xz9EvS0lLZJ0o6R2SjBV1vHv6kTEOmAt8LqmRFdd1f+Vv07dPBdL2qnG+LFiLHw2qnqrpNskXS1pz9Ge+Zi4zmM0SPop8Hs1Rn0mIi6rOJu3RcRKSa8HrpN0d/oF0FSj0JZKt3tptA21I2M2O6dtshvwM0lLIuL+0YlwRKqs47bYDsOoEuNPgAsi4gVJx1HsTf1FwyNrjLGwTaq4heI+Vf2SDgIuBaaO5gI2muQREfuPwjxWpr9rJP2YYpe+6cljFNrSFrd72VA7JK2WNCkiVqVugzVDzGNgmzwgqQ/4E4o++larso4H6qyQtCmwLS3uiqhh2HZExOOlt2cC/9KEuBqlLT4bIxURT5eGr5L0bUkTI2JFnRprAAADAUlEQVTUbv7obquKJG0laeuBYeAdQM0zHcaAsXC7l8uBo9LwUcB6e1SStpO0RRqeCLyNBt2mvw5V1nG5jYcCP4t0tLONDNuOQccE3gPc1cT4RtvlwJHprKu3AGsHuk/HEkm/N3D8TNLeFN/1j294qkytPmugHV7A+yh+cbwArAauSeU7AFel4d0ozjS5DVhK0UXU8tjraUt6fxBwL8Wv9LZrC0Xf//XAfenva1N5D/C9NPynwJK0TZYAx7Q67kFtWG8dA18C3pOGtwR+CCwDbgJ2a3XMdbbjq+kzcRvwc+APWh3zBtpyAbAKeDF9To4BjgOOS+NF8eC5+9P/1JBnX7Z5O04obZMbgT8d7Rh8exIzM8vmbiszM8vm5GFmZtmcPMzMLJuTh5mZZXPyMDOzbE4eZhkk9Ul656CyT0j69gam6W98ZGbN5eRhlucCigvlymalcrONhpOHWZ6LgYNLV7ZPobgA81ZJ10u6JT3zZb07z6ZnLFxRen+6pNlpeIak/0w33bxm4KptSR+XdGe66eDCxjfPrJqN5t5WZqMhIh6XdBNwAMUtU2YBFwLPA++LiKfTrVJulHR5VLgKV9JmwL8Bh0TEryV9EDgZOJriWSa7RnHTwQkNapZZNicPs3wDXVcDyeNoittafEXSvsDLFLfx7gb+t8L8dgf2orhTMxQPYBq4n9LtwPclXUpxZ1SztuDkYZbvUuAb6RGl4yPiltT9tD0wIyJelLSc4t5VZet4dVfxwHgBSyPirTWW9S6Kp8a9B/icpD2jePaHWUv5mIdZpojop3jM79m8cqB8W2BNShwzgV1qTPoQsEd6dvm2wH6p/B5ge0lvhaIbS9KekjYBdoqInwOfAiYAXY1ql1kO73mY1ecC4Ee8cubV94GfSFoE3ArcPXiCiHhE0kUUXVH3Af+Tyn8r6VDgtJRUNgX+D8WdbM9PZQK+GRFPNbZZZtX4rrpmZpbN3VZmZpbNycPMzLI5eZiZWTYnDzMzy+bkYWZm2Zw8zMwsm5OHmZll+/8eJoGFQxKNKgAAAABJRU5ErkJggg==\n", 819 | "text/plain": [ 820 | "
" 821 | ] 822 | }, 823 | "metadata": { 824 | "needs_background": "light" 825 | }, 826 | "output_type": "display_data" 827 | } 828 | ], 829 | "source": [ 830 | "plt.hist(mid_price_diff[1000:2000], bins = 13)\n", 831 | "plt.title('Distribution of mid-price increments')\n", 832 | "plt.xlabel('Values')\n", 833 | "plt.ylabel('Occurences')\n", 834 | "plt.grid(True)\n", 835 | "plt.show()\n", 836 | "\n", 837 | "plt.hist(mid_price_diff[5000:6000], bins = 13)\n", 838 | "plt.title('Distribution of mid-price increments')\n", 839 | "plt.xlabel('Values')\n", 840 | "plt.ylabel('Occurences')\n", 841 | "plt.grid(True)\n", 842 | "plt.show()\n", 843 | "\n", 844 | "plt.hist(mid_price_diff[10000:12000], bins = 13)\n", 845 | "plt.title('Distribution of mid-price increments')\n", 846 | "plt.xlabel('Values')\n", 847 | "plt.ylabel('Occurences')\n", 848 | "plt.grid(True)\n", 849 | "plt.show()\n", 850 | "\n", 851 | "plt.hist(mid_price_diff[50000:52000], bins = 13)\n", 852 | "plt.title('Distribution of mid-price increments')\n", 853 | "plt.xlabel('Values')\n", 854 | "plt.ylabel('Occurences')\n", 855 | "plt.grid(True)\n", 856 | "plt.show()" 857 | ] 858 | }, 859 | { 860 | "cell_type": "markdown", 861 | "metadata": {}, 862 | "source": [ 863 | "By selecting some different lags." 864 | ] 865 | }, 866 | { 867 | "cell_type": "code", 868 | "execution_count": 20, 869 | "metadata": {}, 870 | "outputs": [ 871 | { 872 | "data": { 873 | "image/png": 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\n", 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\n", 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rxknFzMyKcVIxM7NinFTMzKwYJxUzMyvGScXMzIpxUjEzs2KallQkTZR0raRFku6U9Olc/mpJCyTdk5+3zuWSNEfSYkm3S9q9UteMPP49kmZUyveQtDBPM0eSmtUeMzMbWDP3VHqAWRHxJmAf4BhJU4DZwDURMRm4Jr8HOBCYnB8zgbMhJSHgJGBvYC/gpFoiyuPMrEw3vYntMTOzATQtqUTEioi4Jb9eDSwCJgCHAufn0c4H3pNfHwpcEMn1wFhJ2wIHAAsiYlVEPAYsAKbnYVtGxG8jIoALKnWZmVkLDMkxFUmTgLcCNwCdEbECUuIBtsmjTQCWViZblsv6K19Wp9zMzFpkdLNnIKkD+DFwXEQ82c9hj3oDYh3K68Uwk9RNRmdnJ2vWrKG7u3uAyNvTSG4blG/frKk9xepaX51jhk88pZchL5fta7Bta2pSkbQxKaFcGBGX5eKHJW0bEStyF9bKXL4MmFiZfHtgeS7v6lXencu3rzP+K0TEXGAuwLRp06Kjo4Ourq56o7a97u7uEds2KN++I2f/olhd62vW1B7OXNj07byGLDm8q2h9Xi7b12Db1syzvwScCyyKiLMqg+YDtTO4ZgCXV8qPyGeB7QM8kbvHrgL2l7R1PkC/P3BVHrZa0j55XkdU6jIzsxZo5mbRvsBHgIWSbs1lJwKnAZdIOgp4AHh/HnYFcBCwGHga+ChARKySdApwUx7v5IhYlV8fDZwHjAGuzA8zM2uRpiWViPgN9Y97AOxXZ/wAjumjrnnAvDrlvwN2XY8wzcysIP+j3szMinFSMTOzYpxUzMysGCcVMzMrxknFzMyKcVIxM7NinFTMzKwYJxUzMyvGScXMzIpxUjEzs2KcVMzMrJhBJxVJG0nashnBmJlZe2soqUj6gaQtJW0O3AXcLemfmhuamZm1m0b3VKZExJOke8BfAbyOdFl7MzOzlzSaVDbOd3F8D3B5RDxPH7fuNTOzDVejSeU/gCXA5sB1knYAnmxWUGZm1p4auklXRMwB5lSK7pf0juaEZGZm7arRA/Wdks6VdGV+P4W195k3MzMDGu/+Og+4Ctguv/8jcFwzAjIzs/bVaFIZFxGXAC8CREQP8ELTojIzs7bUaFJ5StJryGd8SdoHeKJpUZmZWVtq6EA98FlgPvAXkv4HGA+8r2lRmZlZW2r07K9bJP01sDMg4O78XxUzM7OXNHr21zFAR0TcGRF3AB2S/qG5oZmZWbtp9JjKJyLi8dqbiHgM+ERzQjIzs3bVaFLZSJJqbySNAjZpTkhmZtauGj1QfxVwiaTvkM4A+yTwy6ZFZWZmbanRpHI88PfA0aQD9VcD5zQrKDMza0+Nnv31InB2fpiZmdXV6Nlf+0paIOmPku6VdJ+keweYZp6klZLuqJR9UdKDkm7Nj4Mqw06QtFjS3ZIOqJRPz2WLJc2ulO8o6QZJ90j6oSQf4zEza7FGD9SfC5wFvA3YE5iWn/tzHjC9TvnXImK3/LgCXrpA5WHALnmab0salU8I+BZwIDAF+FAeF+Arua7JwGPAUQ22xczMmqTRpPJERFwZESsj4tHao78JIuI6YFWD9R8KXBwRz0bEfcBiYK/8WBwR90bEc8DFwKH5TLS/AS7N059PuoGYmZm1UKNJ5VpJX5X0l5J2rz3WcZ7HSro9d49tncsmAEsr4yzLZX2VvwZ4PF/YslpuZmYt1OjZX3vn52mVsiDtLQzG2cApedpTgDOBj5HOKOstqJ/0op/x65I0E5gJ0NnZyZo1a+ju7h5U4O1iJLcNyrdv1tSegUcaIp1jhk88pZchL5fta7Bta/TsryJ3eYyIh2uvJX0X+Hl+uwyYWBl1e2B5fl2v/BFgrKTReW+lOn69+c4F5gJMmzYtOjo66OrqWr/GDFPd3d0jtm1Qvn1Hzv5FsbrW16ypPZy5sNHtvOZacnhX0fq8XLavwbZtne/8KGnQB8YlbVt5+16gdmbYfOAwSZtK2hGYDNwI3ARMzmd6bUI6mD8/IgK4lrVXSp4BXD7YeMzMrKym3flR0kXAb4GdJS3LSeh0SQsl3Q68A/gMQETcCVwC3EX6p/4xEfFC3gs5Ns97EXBJHhfSHzI/K2kx6RjLuQ22xczMmqTRfe1xEXGJpBMg3flRUr93foyID9Up7nPFHxGnAqfWKb8CuKJO+b2ks8PMzGyY8J0fzcysGN/50czMihkwqUjaCHgV4Ds/mplZvwZMKhHxoqQzI+IvgTsHGt/MzDZcjR5TuVrS31Zv1GVmZtbbYI6pbA70SPozqQssImLLpkVmZmZtp9F/1G/R7EDMzKz9NZRUJL29Xnm+ErGZmRnQePfXP1Vev4r0p8ObGfwFJc3MbARrtPvrXdX3kiYCpzclIjMza1uNnv3V2zJg15KBmJlZ+2v0mMo3WHu/ko2A3YDbmhWUmZm1p0aPqfyu8roHuCgi/qcJ8ZiZWRtrNKlcCvw5Il4AkDRK0mYR8XTzQjMzs3bT6DGVa4AxlfdjgF+VD8fMzNpZo0nlVRGxpvYmv96sOSGZmVm7Gsz9VHavvZG0B/BMc0IyM7N21egxleOAH0lant9vC3ywOSGZmVm7avTPjzdJeiNr76fyB99PxczMemuo+0vSMcDmEXFHRCwEOiT9Q3NDMzOzdtPoMZVPRMTjtTcR8RjwieaEZGZm7arRpLJR9QZdkkYBmzQnJDMza1eNHqi/GrhE0ndIl2s5Gvhl06IyM7O21GhS+QKpu+uTpAP1VwPnNisoMzNrT/0mFUmjgS8DHwWWkhLKROA+UtfZC80O0MzM2sdAx1S+Crwa2Ckido+ItwI7AlsBZzQ7ODMzay8DJZVDSGd+ra4V5NdHAwc1MzAzM2s/AyWViIioU/gCa++vYmZmBgycVO6SdETvQkkfBv7QnJDMzKxdDXT21zHAZZI+BtxM2jvZk3Tp+/c2OTYzM2sz/e6pRMSDEbE3cDKwBHgAODki9oqIB/ubVtI8SSsl3VEpe7WkBZLuyc9b53JJmiNpsaTbe10ReUYe/x5JMyrle0hamKeZU/1zppmZtUZD/6iPiP+KiG9ExJyIuKbBus8Dpvcqmw1cExGTSTf+mp3LDwQm58dM4GxISQg4Cdgb2As4qZaI8jgzK9P1npeZmQ2xRi/TMmgRcR2wqlfxocD5+fX5wHsq5RdEcj0wVtK2wAHAgohYla83tgCYnodtGRG/zScSXFCpy8zMWqTRf9SX0hkRKwAiYoWkbXL5BNKfK2uW5bL+ypfVKa9L0kzSXg2dnZ2sWbOG7u7u9WvJMDWS2wbl2zdrak+xutZX55jhE0/pZcjLZfsabNuGOqn0pd7xkFiH8roiYi4wF2DatGnR0dFBV1fXOoQ5/HV3d4/YtkH59h05+xfF6lpfs6b2cObC4fGTXHJ4V9H6vFy2r8G2rWndX314OHddkZ9X5vJlpMu/1GwPLB+gfPs65WZm1kJDnVTmA7UzuGYAl1fKj8hnge0DPJG7ya4C9pe0dT5Avz9wVR62WtI++ayvIyp1mZlZizRtX1vSRUAXME7SMtJZXKeRLqF/FOn05Pfn0a8gXfZlMfA06QKWRMQqSacAN+XxTo6I2sH/o0lnmI0BrswPMzNroaYllYj4UB+D9qszbpD+aFmvnnnAvDrlvwN2XZ8YzcysrKHu/jIzsxHMScXMzIpxUjEzs2KGx0nxZv2YVPkvyaypPcPqvyVm9nJOKmb2CpMKJ+7eGwNLTju4aP02fLj7y8zMinFSMTOzYpxUzMysGCcVMzMrxknFzMyKcVIxM7NinFTMzKwYJxUzMyvGScXMzIpxUjEzs2KcVMzMrBgnFTMzK8ZJxczMinFSMTOzYpxUzMysGCcVMzMrxknFzMyKcVIxM7NinFTMzKwYJxUzMyvGScXMzIpxUjEzs2KcVMzMrBgnFTMzK6YlSUXSEkkLJd0q6Xe57NWSFki6Jz9vncslaY6kxZJul7R7pZ4Zefx7JM1oRVvMzGytVu6pvCMidouIafn9bOCaiJgMXJPfAxwITM6PmcDZkJIQcBKwN7AXcFItEZmZWWsMp+6vQ4Hz8+vzgfdUyi+I5HpgrKRtgQOABRGxKiIeAxYA04c6aDMzW2t0i+YbwNWSAviPiJgLdEbECoCIWCFpmzzuBGBpZdpluayv8leQNJO0l0NnZydr1qyhu7u7YHOGj5HYtllTe1563Tnm5e9Hkg2pbSNtGR2Jv7uawbatVUll34hYnhPHAkl/6Gdc1SmLfspfWZiS1lyAadOmRUdHB11dXYMMuT10d3ePuLYdOfsXL72eNbWHMxe2arFtrg2pbUsO72pdME0wEn93NYNtW0u6vyJieX5eCfyEdEzk4dytRX5emUdfBkysTL49sLyfcjMza5EhTyqSNpe0Re01sD9wBzAfqJ3BNQO4PL+eDxyRzwLbB3gid5NdBewvaet8gH7/XGZmZi3Sin3tTuAnkmrz/0FE/FLSTcAlko4CHgDen8e/AjgIWAw8DXwUICJWSToFuCmPd3JErBq6ZpiZWW9DnlQi4l7gLXXKHwX2q1MewDF91DUPmFc6RjMzWzfD6ZRiMzNrc04qZmZWjJOKmZkV46RiZmbFOKmYmVkxTipmZlaMk4qZmRXjpGJmZsU4qZiZWTFOKmZmVoyTipmZFeOkYmZmxTipmJlZMU4qZmZWjJOKmZkV46RiZmbFOKmYmVkxTipmZlaMk4qZmRXjpGJmZsU4qZiZWTGjWx2Atb9Js3/R6hCszTRzmVly2sFNq9sG5j0VMzMrxnsqGwjvTdiGwntBreU9FTMzK8ZJxczMinFSMTOzYpxUzMysGCcVMzMrpu2TiqTpku6WtFjS7FbHY2a2IWvrU4oljQK+BfwfYBlwk6T5EXFXayMbvFKnQc6a2sORPn3YrCn6+p2W+t2NhFOW231PZS9gcUTcGxHPARcDh7Y4JjOzDZYiotUxrDNJ7wOmR8TH8/uPAHtHxLG9xpsJzMxvdwYeBR4ZyliH0DhGbttgZLfPbWtfI7l9tbbtEBHjBxq5rbu/ANUpe0WWjIi5wNyXJpJ+FxHTmhlYq4zktsHIbp/b1r5GcvsG27Z27/5aBkysvN8eWN6iWMzMNnjtnlRuAiZL2lHSJsBhwPwWx2RmtsFq6+6viOiRdCxwFTAKmBcRdzYw6dyBR2lbI7ltMLLb57a1r5HcvkG1ra0P1JuZ2fDS7t1fZmY2jDipmJlZMRt0UpH0qXyJlzslnd7qeEqT9DlJIWlcq2MpRdJXJf1B0u2SfiJpbKtjKmGkXm5I0kRJ10palH9nn251TKVJGiXp95J+3upYSpM0VtKl+Te3SNJfDjTNBptUJL2D9O/7N0fELsAZLQ6pKEkTSZeveaDVsRS2ANg1It4M/BE4ocXxrLfK5YYOBKYAH5I0pbVRFdMDzIqINwH7AMeMoLbVfBpY1OogmuTrwC8j4o3AW2ignRtsUgGOBk6LiGcBImJli+Mp7WvAP1Pnz6DtLCKujoie/PZ60n+T2t2IvdxQRKyIiFvy69WkldKE1kZVjqTtgYOBc1odS2mStgTeDpwLEBHPRcTjA023ISeVNwB/JekGSf8tac9WB1SKpHcDD0bEba2Opck+BlzZ6iAKmAAsrbxfxgha8dZImgS8FbihtZEU9X9JG28vtjqQJtgJ+BPwn7l77xxJmw80UVv/T2Ugkn4FvLbOoM+T2r41aZd8T+ASSTtFm5xjPUDbTgT2H9qIyumvbRFxeR7n86SulQuHMrYmaehyQ+1MUgfwY+C4iHiy1fGUIOkQYGVE3Cypq9XxNMFoYHfgUxFxg6SvA7OBLww00YgVEe/sa5iko4HLchK5UdKLpAun/Wmo4lsffbVN0lRgR+A2SZC6h26RtFdEPDSEIa6z/r43AEkzgEOA/dplI2AAI/pyQ5I2JiWUCyPislbHU9C+wLslHQS8CthS0vcj4sMtjquUZcCyiKjtWV5KSir92pC7v34K/A2ApDcAmzACrjIaEQsjYpuImBQRk0gLxu7tklAGImk6cDzw7oh4utXxFDJiLzektGVzLrAoIs5qdTwlRcQJEbF9/p0dBvzXCEoo5HXGUkk756L9gAHvVTWi91QGMA+YJ+kO4DlgxgjZ6h3pvglsCizIe2J56PmCAAACJUlEQVTXR8QnWxvS+lmPyw21g32BjwALJd2ay06MiCtaGJM17lPAhXlj517gowNN4Mu0mJlZMRty95eZmRXmpGJmZsU4qZiZWTFOKmZmVoyTipmZFeOkYlaApG5JB/QqO07St/uZZk3zIzMbWk4qZmVcRPoDXNVhudxsg+GkYlbGpcAhkjaFly6euB1wq6RrJN0iaaGkV1x9WFJX9V4ckr4p6cj8eo98wdObJV0ladtc/o+S7sr3lbm4+c0za8yG/I96s2Ii4lFJNwLTgctJeyk/BJ4B3hsRT+abpV0vaX4jV2/I18z6BnBoRPxJ0geBU0lXZ54N7BgRz46UG5XZyOCkYlZOrQusllQ+RroC8ZclvZ10efQJQCfQyLXYdgZ2Ze0laUYBK/Kw20mXz/gp6Tp2ZsOCk4pZOT8FzpK0OzAmIm7J3VjjgT0i4nlJS0hXtK3q4eVd0bXhAu6MiHq3cD2YdAOldwNfkLRL5eZlZi3jYypmhUTEGqCbdLHS2gH6rUj33Hg+38J6hzqT3g9MkbSppK1IV4MFuBsYX7svuKSNJe0iaSNgYkRcS7pB1Figo1ntMhsM76mYlXURcBlrzwS7EPiZpN8BtwJ/6D1BRCyVdAmpS+se4Pe5/DlJ7wPm5GQzmnSnwT8C389lAr7WyG1ezYaCr1JsZmbFuPvLzMyKcVIxM7NinFTMzKwYJxUzMyvGScXMzIpxUjEzs2KcVMzMrJj/D/5SEDmg+IzDAAAAAElFTkSuQmCC\n", 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\n", 910 | "text/plain": [ 911 | "
" 912 | ] 913 | }, 914 | "metadata": { 915 | "needs_background": "light" 916 | }, 917 | "output_type": "display_data" 918 | } 919 | ], 920 | "source": [ 921 | "plt.hist(mid_price_diff, bins = 13)\n", 922 | "plt.title('Distribution of mid-price increments')\n", 923 | "plt.xlabel('Values')\n", 924 | "plt.ylabel('Occurences')\n", 925 | "plt.grid(True)\n", 926 | "plt.show()\n", 927 | "\n", 928 | "plt.hist(mid_price_diff_10, bins = 13)\n", 929 | "plt.title('Distribution of mid-price increments - lag 10')\n", 930 | "plt.xlabel('Values')\n", 931 | "plt.ylabel('Occurences')\n", 932 | "plt.grid(True)\n", 933 | "plt.show()\n", 934 | "\n", 935 | "plt.hist(mid_price_diff_30, bins = 13)\n", 936 | "plt.title('Distribution of mid-price increments - lag 30')\n", 937 | "plt.xlabel('Values')\n", 938 | "plt.ylabel('Occurences')\n", 939 | "plt.grid(True)\n", 940 | "plt.show()\n", 941 | "\n", 942 | "plt.hist(mid_price_diff_50, bins = 13)\n", 943 | "plt.title('Distribution of mid-price increments - lag 50')\n", 944 | "plt.xlabel('Values')\n", 945 | "plt.ylabel('Occurences')\n", 946 | "plt.grid(True)\n", 947 | "plt.show()" 948 | ] 949 | }, 950 | { 951 | "cell_type": "markdown", 952 | "metadata": {}, 953 | "source": [ 954 | "Same conclusion: The vast majority of mid-price increments are 0." 955 | ] 956 | }, 957 | { 958 | "cell_type": "markdown", 959 | "metadata": {}, 960 | "source": [ 961 | "## 4.7. Plotting the autocorrelation of the mid-price increments." 962 | ] 963 | }, 964 | { 965 | "cell_type": "markdown", 966 | "metadata": {}, 967 | "source": [ 968 | "To perform such a task, we use the so-called stats.models library." 969 | ] 970 | }, 971 | { 972 | "cell_type": "code", 973 | "execution_count": 21, 974 | "metadata": {}, 975 | "outputs": [ 976 | { 977 | "data": { 978 | "image/png": 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\n", 979 | "text/plain": [ 980 | "
" 981 | ] 982 | }, 983 | "execution_count": 21, 984 | "metadata": {}, 985 | "output_type": "execute_result" 986 | }, 987 | { 988 | "data": { 989 | "image/png": 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\n", 990 | "text/plain": [ 991 | "
" 992 | ] 993 | }, 994 | "metadata": { 995 | "needs_background": "light" 996 | }, 997 | "output_type": "display_data" 998 | } 999 | ], 1000 | "source": [ 1001 | "import statsmodels.graphics.tsaplots as tsa\n", 1002 | "tsa.plot_acf(mid_price_diff[1000:3000], lags = 40)" 1003 | ] 1004 | }, 1005 | { 1006 | "cell_type": "markdown", 1007 | "metadata": {}, 1008 | "source": [ 1009 | "Using lag = 40 and diff = 10." 1010 | ] 1011 | }, 1012 | { 1013 | "cell_type": "code", 1014 | "execution_count": 22, 1015 | "metadata": {}, 1016 | "outputs": [ 1017 | { 1018 | "data": { 1019 | "image/png": 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\n", 1020 | "text/plain": [ 1021 | "
" 1022 | ] 1023 | }, 1024 | "execution_count": 22, 1025 | "metadata": {}, 1026 | "output_type": "execute_result" 1027 | }, 1028 | { 1029 | "data": { 1030 | "image/png": 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\n", 1031 | "text/plain": [ 1032 | "
" 1033 | ] 1034 | }, 1035 | "metadata": { 1036 | "needs_background": "light" 1037 | }, 1038 | "output_type": "display_data" 1039 | } 1040 | ], 1041 | "source": [ 1042 | "tsa.plot_acf(mid_price_diff_10[1000:3000], lags = 40)" 1043 | ] 1044 | }, 1045 | { 1046 | "cell_type": "markdown", 1047 | "metadata": {}, 1048 | "source": [ 1049 | "Using lag = 40 and diff = 30." 1050 | ] 1051 | }, 1052 | { 1053 | "cell_type": "code", 1054 | "execution_count": 23, 1055 | "metadata": {}, 1056 | "outputs": [ 1057 | { 1058 | "data": { 1059 | "image/png": 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\n", 1060 | "text/plain": [ 1061 | "
" 1062 | ] 1063 | }, 1064 | "execution_count": 23, 1065 | "metadata": {}, 1066 | "output_type": "execute_result" 1067 | }, 1068 | { 1069 | "data": { 1070 | "image/png": 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\n", 1071 | "text/plain": [ 1072 | "
" 1073 | ] 1074 | }, 1075 | "metadata": { 1076 | "needs_background": "light" 1077 | }, 1078 | "output_type": "display_data" 1079 | } 1080 | ], 1081 | "source": [ 1082 | "tsa.plot_acf(mid_price_diff_30[1000:3000], lags = 40)" 1083 | ] 1084 | }, 1085 | { 1086 | "cell_type": "markdown", 1087 | "metadata": {}, 1088 | "source": [ 1089 | "Using lag = 50 and diff = 10." 1090 | ] 1091 | }, 1092 | { 1093 | "cell_type": "code", 1094 | "execution_count": 24, 1095 | "metadata": {}, 1096 | "outputs": [ 1097 | { 1098 | "data": { 1099 | "image/png": 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\n", 1100 | "text/plain": [ 1101 | "
" 1102 | ] 1103 | }, 1104 | "execution_count": 24, 1105 | "metadata": {}, 1106 | "output_type": "execute_result" 1107 | }, 1108 | { 1109 | "data": { 1110 | "image/png": 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\n", 1111 | "text/plain": [ 1112 | "
" 1113 | ] 1114 | }, 1115 | "metadata": { 1116 | "needs_background": "light" 1117 | }, 1118 | "output_type": "display_data" 1119 | } 1120 | ], 1121 | "source": [ 1122 | "tsa.plot_acf(mid_price_diff_50[1000:3000], lags = 40)" 1123 | ] 1124 | }, 1125 | { 1126 | "cell_type": "markdown", 1127 | "metadata": {}, 1128 | "source": [ 1129 | "The model seems to exhibit long-term memory." 1130 | ] 1131 | }, 1132 | { 1133 | "cell_type": "markdown", 1134 | "metadata": {}, 1135 | "source": [ 1136 | "## 4.8. Plotting the variance of mid-price increments as a function of the sampling period." 1137 | ] 1138 | }, 1139 | { 1140 | "cell_type": "code", 1141 | "execution_count": 25, 1142 | "metadata": {}, 1143 | "outputs": [], 1144 | "source": [ 1145 | "time = 0\n", 1146 | "price_var = []\n", 1147 | "while time < 100000:\n", 1148 | " time += 10\n", 1149 | " mid_price = data['Mid price'][data['Time']< time]\n", 1150 | " price_var.append(np.var(np.diff(mid_price)))" 1151 | ] 1152 | }, 1153 | { 1154 | "cell_type": "code", 1155 | "execution_count": 26, 1156 | "metadata": {}, 1157 | "outputs": [ 1158 | { 1159 | "data": { 1160 | "image/png": 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\n", 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" 1163 | ] 1164 | }, 1165 | "metadata": { 1166 | "needs_background": "light" 1167 | }, 1168 | "output_type": "display_data" 1169 | } 1170 | ], 1171 | "source": [ 1172 | "plt.plot(price_var)\n", 1173 | "plt.title('Variance of mid-price increments')\n", 1174 | "plt.ylabel('Variance')\n", 1175 | "plt.xlabel('Time')\n", 1176 | "plt.grid(True)\n", 1177 | "plt.show()" 1178 | ] 1179 | }, 1180 | { 1181 | "cell_type": "markdown", 1182 | "metadata": {}, 1183 | "source": [ 1184 | "The variance quickly around 0,07." 1185 | ] 1186 | }, 1187 | { 1188 | "cell_type": "markdown", 1189 | "metadata": {}, 1190 | "source": [ 1191 | "# 5. Advanced analysis." 1192 | ] 1193 | }, 1194 | { 1195 | "cell_type": "markdown", 1196 | "metadata": {}, 1197 | "source": [ 1198 | "This part will be dedicated to studying the influence of changing a parameter.\n", 1199 | "The user can set the value of the desired parameter using the adequate function (mu, lambda, theta)." 1200 | ] 1201 | }, 1202 | { 1203 | "cell_type": "code", 1204 | "execution_count": 27, 1205 | "metadata": {}, 1206 | "outputs": [], 1207 | "source": [ 1208 | "def influence_mu(mu):\n", 1209 | " \n", 1210 | " # Initial parameters values\n", 1211 | " Y = np.zeros(1000)\n", 1212 | " Y[range(500)] =- 10\n", 1213 | " Y[range(500,999)] = 10\n", 1214 | " b = orderbooksimulation(1000,10,2.5,1,0.2,Y,10000)\n", 1215 | " data = b[0]\n", 1216 | "\n", 1217 | " # New parameters values\n", 1218 | " Y = np.zeros(1000)\n", 1219 | " Y[range(500)] =- 10\n", 1220 | " Y[range(500,999)] = 10\n", 1221 | " b = orderbooksimulation(1000,10,mu,1,0.2,Y,10000)\n", 1222 | " newdata = b[0]\n", 1223 | " \n", 1224 | " # Spread part:\n", 1225 | " ##############\n", 1226 | " print('**** Spread part ****')\n", 1227 | " #Spread\n", 1228 | " print('** Inital parameter Values **')\n", 1229 | " plt.plot(data['Time'],data['Spread'])\n", 1230 | " plt.title('Spread distribution')\n", 1231 | " plt.xlabel('Time')\n", 1232 | " plt.ylabel('Spread')\n", 1233 | " plt.grid(True)\n", 1234 | " plt.show()\n", 1235 | "\n", 1236 | " #Spread\n", 1237 | " print('** New parameter values **')\n", 1238 | " plt.plot(newdata['Time'],newdata['Spread'])\n", 1239 | " plt.title('Spread distribution')\n", 1240 | " plt.xlabel('Time')\n", 1241 | " plt.ylabel('Spread')\n", 1242 | " plt.grid(True)\n", 1243 | " plt.show()\n", 1244 | " \n", 1245 | " # Comparison\n", 1246 | " print('Min spread - initial parameter values:',min(data['Spread']),'Min spread - new parameter values:', min(newdata['Spread']))\n", 1247 | " print('Max spread - initial parameter values:',max(data['Spread']),'Max spread - new parameter values:',max(newdata['Spread']))\n", 1248 | " print('Mean spread - initial parameter values:',np.mean(data['Spread']),'Mean spread - new parameter values:',np.mean(newdata['Spread']))\n", 1249 | " print('75% quantile spread - initial parameter values:',np.quantile(data['Spread'],0.75),'Mean spread - new parameter values:',np.quantile(newdata['Spread'],0.75))\n", 1250 | " \n", 1251 | " # Mid price:\n", 1252 | " ##############\n", 1253 | " print('**** Mid-price part ****')\n", 1254 | " # Mid price\n", 1255 | " print('** Inital parameter Values **')\n", 1256 | " plt.plot(data['Time'],data['Mid price'])\n", 1257 | " plt.title('Mid price')\n", 1258 | " plt.xlabel('Time')\n", 1259 | " plt.ylabel('Mid price')\n", 1260 | " plt.grid(True)\n", 1261 | " plt.show()\n", 1262 | "\n", 1263 | " # Mid price\n", 1264 | " print('** New parameter values **')\n", 1265 | " plt.plot(newdata['Time'],newdata['Mid price'])\n", 1266 | " plt.title('Mid price')\n", 1267 | " plt.xlabel('Time')\n", 1268 | " plt.ylabel('Mid price')\n", 1269 | " plt.grid(True)\n", 1270 | " plt.show()\n", 1271 | " \n", 1272 | " # Comparison\n", 1273 | " print('Min mid-price - initial parameter values:',min(data['Mid price']),'Min mid-price - new parameter values:', min(newdata['Mid price']))\n", 1274 | " print('Max mid-price - initial parameter values:',max(data['Mid price']),'Max mid-price - new parameter values:',max(newdata['Mid price']))\n", 1275 | " print('Mean mid-price - initial parameter values:',np.mean(data['Mid price']),'Mean mid-price - new parameter values:',np.mean(newdata['Mid price']))\n", 1276 | " print('75% quantile mid-price - initial parameter values:',np.quantile(data['Mid price'],0.75),'Mean mid-price - new parameter values:', np.quantile(newdata['Mid price'],0.75))\n", 1277 | " \n", 1278 | " # Weighted mid-price:\n", 1279 | " ##############\n", 1280 | " print('**** Weighted Mid-price part ****')\n", 1281 | " #WMP\n", 1282 | " print('** Inital parameter Values **')\n", 1283 | " plt.plot(data['Mid price'][1000:1500], label = 'Mid price')\n", 1284 | " plt.plot(data['Ask price'][1000:1500], label = 'Ask price')\n", 1285 | " plt.plot(data['Bid price'][1000:1500], label = 'Bid price')\n", 1286 | " plt.plot(data['Weighted mid price'][1000:1500], label = 'weighted mid price')\n", 1287 | " plt.title('Bid,ask and mid price - Small scale')\n", 1288 | " plt.xlabel('Time')\n", 1289 | " plt.ylabel('Price level')\n", 1290 | " plt.legend()\n", 1291 | " plt.grid(True)\n", 1292 | " plt.show()\n", 1293 | "\n", 1294 | " #WMP\n", 1295 | " print('** New parameter values **')\n", 1296 | " plt.plot(newdata['Mid price'][1000:1500], label = 'Mid price')\n", 1297 | " plt.plot(newdata['Ask price'][1000:1500], label = 'Ask price')\n", 1298 | " plt.plot(newdata['Bid price'][1000:1500], label = 'Bid price')\n", 1299 | " plt.plot(newdata['Weighted mid price'][1000:1500], label = 'Weighted mid price')\n", 1300 | " plt.title('Bid,ask and mid price - Small scale')\n", 1301 | " plt.xlabel('Time')\n", 1302 | " plt.ylabel('Price level')\n", 1303 | " plt.legend()\n", 1304 | " plt.grid(True)\n", 1305 | " plt.show()\n", 1306 | " \n", 1307 | " # Comparison\n", 1308 | " print('Min weighted mid-price - initial parameter values:',min(data['Weighted mid price']),'Min weighted mid-price - new parameter values:', min(newdata['Weighted mid price']))\n", 1309 | " print('Max weighted mid-price - initial parameter values:',max(data['Weighted mid price']),'Max weighted mid-price - new parameter values:',max(newdata['Weighted mid price']))\n", 1310 | " print('Mean weighted mid-price - initial parameter values:',np.mean(data['Weighted mid price']),'Mean weighted mid-price - new parameter values:',np.mean(newdata['Weighted mid price']))\n", 1311 | " print('75% quantile weighted mid-price - initial parameter values:',np.quantile(data['Weighted mid price'],0.75),'Mean weighted mid-price - new parameter values:', np.quantile(newdata['Weighted mid price'],0.75))\n", 1312 | " \n", 1313 | " \n", 1314 | " # Mid-price increments:\n", 1315 | " ##############\n", 1316 | " print('**** Mid-price increments part ****')\n", 1317 | " \n", 1318 | " #Increments\n", 1319 | " print('** Inital parameter Values **')\n", 1320 | " mid_price = data['Mid price']\n", 1321 | " mid_price_diff = data['Mid price'].diff()\n", 1322 | " mid_price_diff = mid_price_diff.dropna()\n", 1323 | " plt.hist(mid_price_diff, bins = 13)\n", 1324 | " plt.title('Distribution of mid-price increments - Whole sample')\n", 1325 | " plt.xlabel('Values')\n", 1326 | " plt.ylabel('Occurences')\n", 1327 | " plt.grid(True)\n", 1328 | " plt.show()\n", 1329 | " \n", 1330 | " #Increments\n", 1331 | " print('** New parameter values **')\n", 1332 | " mid_price = newdata['Mid price']\n", 1333 | " mid_price_diff_new = newdata['Mid price'].diff()\n", 1334 | " mid_price_diff_new = mid_price_diff_new.dropna()\n", 1335 | " plt.hist(mid_price_diff_new, bins = 13)\n", 1336 | " plt.title('Distribution of mid-price increments - Whole sample')\n", 1337 | " plt.xlabel('Values')\n", 1338 | " plt.ylabel('Occurences')\n", 1339 | " plt.grid(True)\n", 1340 | " plt.show()\n", 1341 | " \n", 1342 | " # Autocorrelation part:\n", 1343 | " ##############\n", 1344 | " \n", 1345 | " # Initial parameter values\n", 1346 | " print('** Initial parameter values **')\n", 1347 | " import statsmodels.graphics.tsaplots as tsa\n", 1348 | " tsa.plot_acf(mid_price_diff[:1000])\n", 1349 | " \n", 1350 | " # New parameter values\n", 1351 | " print('** New parameter values **')\n", 1352 | " import statsmodels.graphics.tsaplots as tsa\n", 1353 | " tsa.plot_acf(mid_price_diff_new[:1000])\n" 1354 | ] 1355 | }, 1356 | { 1357 | "cell_type": "code", 1358 | "execution_count": 28, 1359 | "metadata": {}, 1360 | "outputs": [ 1361 | { 1362 | "name": "stdout", 1363 | "output_type": "stream", 1364 | "text": [ 1365 | "**** Spread part ****\n", 1366 | "** Inital parameter Values **\n" 1367 | ] 1368 | }, 1369 | { 1370 | "data": { 1371 | "image/png": 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\n", 1372 | "text/plain": [ 1373 | "
" 1374 | ] 1375 | }, 1376 | "metadata": { 1377 | "needs_background": "light" 1378 | }, 1379 | "output_type": "display_data" 1380 | }, 1381 | { 1382 | "name": "stdout", 1383 | "output_type": "stream", 1384 | "text": [ 1385 | "** New parameter values **\n" 1386 | ] 1387 | }, 1388 | { 1389 | "data": { 1390 | "image/png": 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\n", 1391 | "text/plain": [ 1392 | "
" 1393 | ] 1394 | }, 1395 | "metadata": { 1396 | "needs_background": "light" 1397 | }, 1398 | "output_type": "display_data" 1399 | }, 1400 | { 1401 | "name": "stdout", 1402 | "output_type": "stream", 1403 | "text": [ 1404 | "Min spread - initial parameter values: 1 Min spread - new parameter values: 1\n", 1405 | "Max spread - initial parameter values: 8 Max spread - new parameter values: 14\n", 1406 | "Mean spread - initial parameter values: 1.9471334817997281 Mean spread - new parameter values: 3.0714581607290805\n", 1407 | "75% quantile spread - initial parameter values: 3.0 Mean spread - new parameter values: 4.0\n", 1408 | "**** Mid-price part ****\n", 1409 | "** Inital parameter Values **\n" 1410 | ] 1411 | }, 1412 | { 1413 | "data": { 1414 | "image/png": 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\n", 1415 | "text/plain": [ 1416 | "
" 1417 | ] 1418 | }, 1419 | "metadata": { 1420 | "needs_background": "light" 1421 | }, 1422 | "output_type": "display_data" 1423 | }, 1424 | { 1425 | "name": "stdout", 1426 | "output_type": "stream", 1427 | "text": [ 1428 | "** New parameter values **\n" 1429 | ] 1430 | }, 1431 | { 1432 | "data": { 1433 | "image/png": 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\n", 1434 | "text/plain": [ 1435 | "
" 1436 | ] 1437 | }, 1438 | "metadata": { 1439 | "needs_background": "light" 1440 | }, 1441 | "output_type": "display_data" 1442 | }, 1443 | { 1444 | "name": "stdout", 1445 | "output_type": "stream", 1446 | "text": [ 1447 | "Min mid-price - initial parameter values: 471.5 Min mid-price - new parameter values: 492.0\n", 1448 | "Max mid-price - initial parameter values: 515.5 Max mid-price - new parameter values: 571.5\n", 1449 | "Mean mid-price - initial parameter values: 492.6609792869671 Mean mid-price - new parameter values: 525.4975391565076\n", 1450 | "75% quantile mid-price - initial parameter values: 499.5 Mean mid-price - new parameter values: 543.5\n", 1451 | "**** Weighted Mid-price part ****\n", 1452 | "** Inital parameter Values **\n" 1453 | ] 1454 | }, 1455 | { 1456 | "data": { 1457 | "image/png": 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\n", 1458 | "text/plain": [ 1459 | "
" 1460 | ] 1461 | }, 1462 | "metadata": { 1463 | "needs_background": "light" 1464 | }, 1465 | "output_type": "display_data" 1466 | }, 1467 | { 1468 | "name": "stdout", 1469 | "output_type": "stream", 1470 | "text": [ 1471 | "** New parameter values **\n" 1472 | ] 1473 | }, 1474 | { 1475 | "data": { 1476 | "image/png": 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\n", 1477 | "text/plain": [ 1478 | "
" 1479 | ] 1480 | }, 1481 | "metadata": { 1482 | "needs_background": "light" 1483 | }, 1484 | "output_type": "display_data" 1485 | }, 1486 | { 1487 | "name": "stdout", 1488 | "output_type": "stream", 1489 | "text": [ 1490 | "Min weighted mid-price - initial parameter values: 471.125 Min weighted mid-price - new parameter values: 491.4\n", 1491 | "Max weighted mid-price - initial parameter values: 515.75 Max weighted mid-price - new parameter values: 571.75\n", 1492 | "Mean weighted mid-price - initial parameter values: 492.6652412625622 Mean weighted mid-price - new parameter values: 525.4738249093386\n", 1493 | "75% quantile weighted mid-price - initial parameter values: 499.5 Mean weighted mid-price - new parameter values: 543.5\n", 1494 | "**** Mid-price increments part ****\n", 1495 | "** Inital parameter Values **\n" 1496 | ] 1497 | }, 1498 | { 1499 | "data": { 1500 | "image/png": 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\n", 1501 | "text/plain": [ 1502 | "
" 1503 | ] 1504 | }, 1505 | "metadata": { 1506 | "needs_background": "light" 1507 | }, 1508 | "output_type": "display_data" 1509 | }, 1510 | { 1511 | "name": "stdout", 1512 | "output_type": "stream", 1513 | "text": [ 1514 | "** New parameter values **\n" 1515 | ] 1516 | }, 1517 | { 1518 | "data": { 1519 | "image/png": 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\n", 1520 | "text/plain": [ 1521 | "
" 1522 | ] 1523 | }, 1524 | "metadata": { 1525 | "needs_background": "light" 1526 | }, 1527 | "output_type": "display_data" 1528 | }, 1529 | { 1530 | "name": "stdout", 1531 | "output_type": "stream", 1532 | "text": [ 1533 | "** Initial parameter values **\n", 1534 | "** New parameter values **\n" 1535 | ] 1536 | }, 1537 | { 1538 | "data": { 1539 | "image/png": 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\n", 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\n", 1552 | "text/plain": [ 1553 | "
" 1554 | ] 1555 | }, 1556 | "metadata": { 1557 | "needs_background": "light" 1558 | }, 1559 | "output_type": "display_data" 1560 | } 1561 | ], 1562 | "source": [ 1563 | "influence_mu(5)" 1564 | ] 1565 | }, 1566 | { 1567 | "cell_type": "code", 1568 | "execution_count": 29, 1569 | "metadata": {}, 1570 | "outputs": [], 1571 | "source": [ 1572 | "def influence_lamda(lamda):\n", 1573 | " \n", 1574 | " # Initial parameters values\n", 1575 | " Y = np.zeros(1000)\n", 1576 | " Y[range(500)] =- 10\n", 1577 | " Y[range(500,999)] = 10\n", 1578 | " b = orderbooksimulation(1000,10,2.5,1,0.2,Y,10000)\n", 1579 | " data = b[0]\n", 1580 | "\n", 1581 | " # New parameters values\n", 1582 | " Y = np.zeros(1000)\n", 1583 | " Y[range(500)] =- 10\n", 1584 | " Y[range(500,999)] = 10\n", 1585 | " b = orderbooksimulation(1000,10,2.5,lamda,0.2,Y,10000)\n", 1586 | " newdata = b[0]\n", 1587 | " \n", 1588 | " # Spread part:\n", 1589 | " ##############\n", 1590 | " print('**** Spread part ****')\n", 1591 | " #Spread\n", 1592 | " print('** Inital parameter Values **')\n", 1593 | " plt.plot(data['Time'],data['Spread'])\n", 1594 | " plt.title('Spread distribution')\n", 1595 | " plt.xlabel('Time')\n", 1596 | " plt.ylabel('Spread')\n", 1597 | " plt.grid(True)\n", 1598 | " plt.show()\n", 1599 | "\n", 1600 | " #Spread\n", 1601 | " print('** New parameter values **')\n", 1602 | " plt.plot(newdata['Time'],newdata['Spread'])\n", 1603 | " plt.title('Spread distribution')\n", 1604 | " plt.xlabel('Time')\n", 1605 | " plt.ylabel('Spread')\n", 1606 | " plt.grid(True)\n", 1607 | " plt.show()\n", 1608 | " \n", 1609 | " # Comparison\n", 1610 | " print('Min spread - initial parameter values:',min(data['Spread']),'Min spread - new parameter values:', min(newdata['Spread']))\n", 1611 | " print('Max spread - initial parameter values:',max(data['Spread']),'Max spread - new parameter values:',max(newdata['Spread']))\n", 1612 | " print('Mean spread - initial parameter values:',np.mean(data['Spread']),'Mean spread - new parameter values:',np.mean(newdata['Spread']))\n", 1613 | " print('75% quantile spread - initial parameter values:',np.quantile(data['Spread'],0.75),'Mean spread - new parameter values:',np.quantile(newdata['Spread'],0.75))\n", 1614 | " \n", 1615 | " # Mid price:\n", 1616 | " ##############\n", 1617 | " print('**** Mid-price part ****')\n", 1618 | " # Mid price\n", 1619 | " print('** Inital parameter Values **')\n", 1620 | " plt.plot(data['Time'],data['Mid price'])\n", 1621 | " plt.title('Mid price')\n", 1622 | " plt.xlabel('Time')\n", 1623 | " plt.ylabel('Mid price')\n", 1624 | " plt.grid(True)\n", 1625 | " plt.show()\n", 1626 | "\n", 1627 | " # Mid price\n", 1628 | " print('** New parameter values **')\n", 1629 | " plt.plot(newdata['Time'],newdata['Mid price'])\n", 1630 | " plt.title('Mid price')\n", 1631 | " plt.xlabel('Time')\n", 1632 | " plt.ylabel('Mid price')\n", 1633 | " plt.grid(True)\n", 1634 | " plt.show()\n", 1635 | " \n", 1636 | " # Comparison\n", 1637 | " print('Min mid-price - initial parameter values:',min(data['Mid price']),'Min mid-price - new parameter values:', min(newdata['Mid price']))\n", 1638 | " print('Max mid-price - initial parameter values:',max(data['Mid price']),'Max mid-price - new parameter values:',max(newdata['Mid price']))\n", 1639 | " print('Mean mid-price - initial parameter values:',np.mean(data['Mid price']),'Mean mid-price - new parameter values:',np.mean(newdata['Mid price']))\n", 1640 | " print('75% quantile mid-price - initial parameter values:',np.quantile(data['Mid price'],0.75),'Mean mid-price - new parameter values:', np.quantile(newdata['Mid price'],0.75))\n", 1641 | " \n", 1642 | " # Weighted mid-price:\n", 1643 | " ##############\n", 1644 | " print('**** Weighted Mid-price part ****')\n", 1645 | " #WMP\n", 1646 | " print('** Inital parameter Values **')\n", 1647 | " plt.plot(data['Mid price'][1000:1500], label = 'Mid price')\n", 1648 | " plt.plot(data['Ask price'][1000:1500], label = 'Ask price')\n", 1649 | " plt.plot(data['Bid price'][1000:1500], label = 'Bid price')\n", 1650 | " plt.plot(data['Weighted mid price'][1000:1500], label = 'weighted mid price')\n", 1651 | " plt.title('Bid,ask and mid price - Small scale')\n", 1652 | " plt.xlabel('Time')\n", 1653 | " plt.ylabel('Price level')\n", 1654 | " plt.legend()\n", 1655 | " plt.grid(True)\n", 1656 | " plt.show()\n", 1657 | "\n", 1658 | " #WMP\n", 1659 | " print('** New parameter values **')\n", 1660 | " plt.plot(newdata['Mid price'][1000:1500], label = 'Mid price')\n", 1661 | " plt.plot(newdata['Ask price'][1000:1500], label = 'Ask price')\n", 1662 | " plt.plot(newdata['Bid price'][1000:1500], label = 'Bid price')\n", 1663 | " plt.plot(newdata['Weighted mid price'][1000:1500], label = 'Weighted mid price')\n", 1664 | " plt.title('Bid,ask and mid price - Small scale')\n", 1665 | " plt.xlabel('Time')\n", 1666 | " plt.ylabel('Price level')\n", 1667 | " plt.legend()\n", 1668 | " plt.grid(True)\n", 1669 | " plt.show()\n", 1670 | " \n", 1671 | " # Comparison\n", 1672 | " print('Min weighted mid-price - initial parameter values:',min(data['Weighted mid price']),'Min weighted mid-price - new parameter values:', min(newdata['Weighted mid price']))\n", 1673 | " print('Max weighted mid-price - initial parameter values:',max(data['Weighted mid price']),'Max weighted mid-price - new parameter values:',max(newdata['Weighted mid price']))\n", 1674 | " print('Mean weighted mid-price - initial parameter values:',np.mean(data['Weighted mid price']),'Mean weighted mid-price - new parameter values:',np.mean(newdata['Weighted mid price']))\n", 1675 | " print('75% quantile weighted mid-price - initial parameter values:',np.quantile(data['Weighted mid price'],0.75),'Mean weighted mid-price - new parameter values:', np.quantile(newdata['Weighted mid price'],0.75))\n", 1676 | " \n", 1677 | " \n", 1678 | " # Mid-price increments:\n", 1679 | " ##############\n", 1680 | " print('**** Mid-price increments part ****')\n", 1681 | " \n", 1682 | " #Increments\n", 1683 | " print('** Inital parameter Values **')\n", 1684 | " mid_price = data['Mid price']\n", 1685 | " mid_price_diff = data['Mid price'].diff()\n", 1686 | " mid_price_diff = mid_price_diff.dropna()\n", 1687 | " plt.hist(mid_price_diff, bins = 13)\n", 1688 | " plt.title('Distribution of mid-price increments - Whole sample')\n", 1689 | " plt.xlabel('Values')\n", 1690 | " plt.ylabel('Occurences')\n", 1691 | " plt.grid(True)\n", 1692 | " plt.show()\n", 1693 | " \n", 1694 | " #Increments\n", 1695 | " print('** New parameter values **')\n", 1696 | " mid_price = newdata['Mid price']\n", 1697 | " mid_price_diff_new = newdata['Mid price'].diff()\n", 1698 | " mid_price_diff_new = mid_price_diff_new.dropna()\n", 1699 | " plt.hist(mid_price_diff_new, bins = 13)\n", 1700 | " plt.title('Distribution of mid-price increments - Whole sample')\n", 1701 | " plt.xlabel('Values')\n", 1702 | " plt.ylabel('Occurences')\n", 1703 | " plt.grid(True)\n", 1704 | " plt.show()\n", 1705 | " \n", 1706 | " # Autocorrelation part:\n", 1707 | " ##############\n", 1708 | " \n", 1709 | " # Initial parameter values\n", 1710 | " print('** Initial parameter values **')\n", 1711 | " import statsmodels.graphics.tsaplots as tsa\n", 1712 | " tsa.plot_acf(mid_price_diff[:1000])\n", 1713 | " \n", 1714 | " # New parameter values\n", 1715 | " print('** New parameter values **')\n", 1716 | " import statsmodels.graphics.tsaplots as tsa\n", 1717 | " tsa.plot_acf(mid_price_diff_new[:1000])\n" 1718 | ] 1719 | }, 1720 | { 1721 | "cell_type": "code", 1722 | "execution_count": 30, 1723 | "metadata": {}, 1724 | "outputs": [ 1725 | { 1726 | "name": "stdout", 1727 | "output_type": "stream", 1728 | "text": [ 1729 | "**** Spread part ****\n", 1730 | "** Inital parameter Values **\n" 1731 | ] 1732 | }, 1733 | { 1734 | "data": { 1735 | "image/png": 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\n", 1736 | "text/plain": [ 1737 | "
" 1738 | ] 1739 | }, 1740 | "metadata": { 1741 | "needs_background": "light" 1742 | }, 1743 | "output_type": "display_data" 1744 | }, 1745 | { 1746 | "name": "stdout", 1747 | "output_type": "stream", 1748 | "text": [ 1749 | "** New parameter values **\n" 1750 | ] 1751 | }, 1752 | { 1753 | "data": { 1754 | "image/png": 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MbI6ZzTOzGzOU6WdmD5lZm5lNN7OWsOKJpHrZqNR4PYp9IF6D5kBpEGEeKewEznH3Y4HjgAlmdkpamauA99x9DPCfwE9CjEdERPLoHdaIPXH2pD342if4S9+n/CxwQ/D5EeB2MzMP6czL21s6eHz2Kobu24+duzs5+4gDeW/rLh54/S/Mevs9nl+0nqvHH8bO3Z3c8JmjAPjBE/O566W3kuNouXYKy350AQC3PLuEv2kdyRk/eR6A/Qf0YfP23XwtNpr3tu1ODvP68o38/f0z+XzryG7xPDVvLd9+9E0Ob96XRe+8D8CF40Zy4bgR/O1d0xl3yGB+ffUpDOjbRMu1U5LDjRo6kK/HxrDfgD64O1//zSzevP58BvRtyljvHbs7uPyXr3H1+FF0dDpD9+3LMSMH8/P4UjrdaVvXzubtu5m2ZENymDtfWMqJhw1h0dr3ueSkQ5Ldl65v55O3TuPL40fxwuL1fO74Ed2m9YsXlzF/zRZaPjyQrbv2MOnFZfzbZ4+i0+HeV5Z3K+vu3PpsGxeeMIKtOzs4/5YXue2S4/n0sQd1Kzd17lpufXYJE44extdio9nT6Vz+y9e49JRDuebBN3CHx79+OnNWbuKyU1uY+tZurpg6hZMOG9JtuS24aQKvLNvAl+6ZwWNfP53pb20E4JJfvMr8m87nv55fypfHj2L/ffrwoycXsHnbbn5y0TG079zDr156i6+dPYZL73qVV5clhrvn5eUsXd/OjZ85igP368+4f3uGhyaewn2vvA3A9ZPn7bUs7n/1bYbv15+v/XoWP/7cx/jWb+d06//9T36Us484kJeWbOD6yfP47gVHsHVnB9ecO5Z/fng2j81enXEZd9Xx2xMO57PHjWDE4AG4O7c918ZPn1nMkcP3Y/6aLVx26qHJ+L5y1mjueGEpP/zroznqoP05Yti+XPmr1/nrcSP49iNvAjB66ED69W7ie5/8KJfeNZ0LPjaM848alpzmno7O5Of/irclm9R+MnUhD72+Yq8YfzdrJR8dvh8zlm8kdviBbN6+m4n3zeDRr53GqT9+jn867yNcc95Yxnz3SY47eDAL177PG9f9FX2aerF603b+MHctm7ftYuq8tclxPvz6Cla8t43bnmvj+5/8KFePH8XkOav57YwVXHPuWBa98z6PvbGKIQP7snVnR3K4y375GvdfdTJLgt8eQOz/Ps/Jh32Ysw4fyo+eXMDK97YDcPOFx3DzU4u45twxfPHUlqzL4LmF7/Cle2Zw80XHMHRQP1a8t43rHu++HpxzxIHc+cUTaFvXzvzVW1i9eQcA1zzwBnNXb2bH7k5+eUUr7Ts7+Ezab6ESLMwz32bWBMwExgA/c/f/ldZ/LjDB3VcG35cCJ7v7hrRyE4GJAM3NzSc8+OCDJcVzxdSt3b7fM2Egt87awax1HXuVnfRX+wAw8Zlte/X76zF9GNfcm//9p+0csm8v/vJ+515lyuWTh/Xh84f33Sv2dCMGGT88Y5+9ure3txN/py+PLNndrfsXj+zL/fN3FRTDPRMGJj9niuO0g3rz8uo9BY0r1Q/PGMD3XtrOuAObui2D1OmlT/PKo/uycbvz+NLu9eny8/P24at/3HuZAYzavxfLNmdeVkd+uBfz3+3k06P7cOHYD+b3PRMGct/8nTz3lz185dh+3DFn517DDugNg/oY67fn/i3dM2Fg3uWYzfWn9ufGV3YUVPagQcaPztiHZZs6uOnVwoYBuOrovtw9t7B1ostlR/blvgLXo3Qf7m+8u2PveZY+n8aP6M1VH+vH91/axsr2/NurYuZzKcsk2/pZzLguP7Iv9xYw39Kn1d7ezqBBgwqMtLuzzz57pru35isX2pECgLt3AMeZ2WDgf8zsaHefm1IkU/PsXkvd3ScBkwBaW1s9FouVFtDUKd2+xmIxftH2Kqx7d6+iZ555ZuLDM1P36tc84hCOP2Y4/Okl3t0Zbgvz0OEjiMWO2iv2dB29+pFpvsTjcQ7qOxyWtHXrfkjLaJi/oKAYuo03QxzDmpth9aqCxpVq3Amt8NI0tvXaB0jZW0uvR8o0Dxs9lj7vbYelyzKO8/QzzoA/Pp15gn0GAJl/tN53ELCFQR8eTiz2seQ0Y7EYk9fNhr+sYsxHjoA5c/Yadvse6N3UBOROjLFYLO9yzOaY48bBKy8XVLajV19isRgDl2+EV18peBojDxsDc+cXFdchhxW+HqXb5ZnnWfp82m/IUGKxcXS88iyQP8kVM59LWSbZ1s9ixnXoqDEwP/+8Tp9WPB7P+Dsvp4pcfeTum4A4MCGt10rgYAAz6w3sD2ysREz56MoSEWlEYV59NDQ4QsDMBgDnAQvTik0GLg8+XwQ8F9b5BAlRjVyOoxVLJL8wm4+GA/cG5xV6AQ+7+xNmdhMww90nA3cD95tZG4kjhItDjCcU2tCULprpP5JB1SXN6WgK8+qjN4HjM3S/LuXzDuDzYcXQE46D18gucAl0F2939biko5l0BaKdEBv+juZib1yC7i/DiMrGpKp3yJe4hpcac6lV7eksUsumNIKGTwrZ6Pdfm3Jt+EtdpKXsOIjUKiUFqTnK17lVMon1ZOep2CMv7ahVhpJCFoWuf1pPK6snm7tCNkLa8EijU1LIIdfJ2Ig85bZkZd34VXBehLXNrvXlmUndnAOpw2UTZUoKJYjiOlrVmCq87Sn5RHM9bvlrWMHLo05yW6ooJ+yGTwrZ1stcCy2KVx+JpKvEZkd5tv40fFKQ6gljZ6nUo4GuwXLFFN19u/Ko9M5rlPeWG5mSQhY60SxdtDcsjURJIYdcOzK1fu16FJJZpTe2jbJnWshRT67hpLEpKZQgigmhqidRKz3pHNMLY8Nfa7mk1uLNqyvJRWJXpv41fFLItjGtux9WiCqeJEt+rEbP4ozerkD19ejmtbIXlHJo+KQgPVfqHlwpG5SwN8zaG5VGl/MpqWb2uVz93f135Q0nQvJsG9T+Gk0lX31UQLrJuUpofQiP5m1F5Xt09qeD/wcCpwHPBd/PJvEmtfpNCuioNWylbL+rsUwKijOCK4uOeqQUOZOCu18JYGZPAEe6+5rg+3DgZ+GHJ2Gp6XMmFX7kdq2plaPYGgmz4RR6TqGlKyEE3gE+EkI8kVHoc49qeuNaZRW/WaqQMg28PKO4PIorKOVQ6JvX4mb2FPAAiUV0MfB8aFFVUKPurZRzbzKKl+hm0lngo0ukcJpvpYnyzkdBScHdvxGcdB4fdJrk7v8TXljVl2+h6cfwAbVdE829i3q5ea3Em/GkNAW/ozm40qiuTyyna5Q7YKul0huhUCcXwVUlgiFJDSjonIKZnWJmr5tZu5ntMrMOM9sSdnDVVGs/qGI3sGXNdxGaWY224a+2nr15rdCCpU9DilfoiebbgUuAJcAA4GrgtrCCqqRS9lajepRda6J081rXeDOF1CjLWwfGAsU1H7WZWZO7dwC/MrOXQ4yrYhrlBx+qGpmJjbLNq5HF0dCifB6u0KSwzcz6ArPN7GZgDTAwvLCqL3E+IfvPq1auuJEKqYPVIeonmqUyCm0++mJQ9hvAVuBg4MJcA5jZwWb2vJktMLN5ZnZNhjIxM9tsZrODv+uKrUCYopvLo6XUBFnpO5ob7XyDmoOkFIVekvq2mQ0Ahrv7jQWOew/wLXefZWb7AjPN7Bl3n59Wbpq7f6qImCui1n5PRZ9ojkANS91ohXmU1sgb0kauu3yg0KuPPg3MBqYG348zs8m5hnH3Ne4+K/j8PrAAGNGzcCMissfZkmvR5H6gnZZpVGnJVFah5xRuAE4i8RA83H22mbUUOpGg7PHA9Ay9TzWzOcBq4F/cfV6G4ScCEwGam5uJx+OFTjqneDzOuxt3ZOz38p9epneWlPn28uXM2LESgI6OjrLEks2qVSuJx9fnLbd9+46M86W9vZ3la97eq/uyZcsKjiHf/F67dm3B40o1Y8brAGzdurXg6S1evISNO7Jv3l98cVrWftu3b8/a7/0tiSus165dSzz+XrdY1q7dCcDCRQuzDr+nY0/WfqnjKtUbs2YVXHbHzp3E43HmbShu3Wxrays2LNqWLi16mC4dnZnjS59P69atIx6Ps3PXroLGW8x8LmWZZBummHEtXVrY7y99nO3t7WXb/mVTaFLY4+6bS3kssZkNAh4Fvunu6fc2zAIOdfd2M7sAeAwYmz4Od58ETAJobW31WCxWdBwATJ3S7WssFuO+5a/D+nV7FT31tNPo16cXPPv0Xv1aWlo46Zjh8KcXsV69oLOztHgKMGLESGKxo/aKPV3//v3JNF/i8Tgthw6Hpd1/8KNGjYLFiwqKodt4M8TRPKwZVq8qaFypWltPhJenMXDgQHj//czTS5vmRz4yltWbdsBbmTdG48ePhz8+lbHfgAEDYNu2jP323W8/2LyJYcOGEYsdm5xmLBZjyvo5sGolRxx+BMx9M+PwvZt6w57ciSEWi+VdjtkcP24cTC/sgr9+/foRi8XovWQDzMi0H5bZ2LFjYGF6626eYcaMhkULihqmS1OvJsiwU5U+n4YeeCCx2Dj6/umPsHNn3vEWM59LWSbZ1s9ixjV69CjIsZORbVrxeDzj77ycCj3RPNfM/hZoMrOxZnYbkHcNNbM+JBLCrzO9e8Hdt7h7e/D5SaCPmR1QePjhKqSNVa0OpauneRel5vgP7rkIP6qevXmtwIGjNHMbQKFJ4R+Ao4CdwG+AzcA3cw1gicOKu4EF7v7TLGWGBeUws5OCeN4tMKZQReFEbDFqcQNb6ZvXCnstQm0t91yKnb860SxQQPORmTUBN7r7vwLfK2Lcp5O4lPXPZjY76PZd4BAAd78DuAj4qpntAbYDF3uNPXCotqL9QDnjrod7Nmq/BiLlkTcpuHuHmZ1Q7Ijd/SXy/Nbc/XYSj9CoKWa1uWfeCEq++qin0w1x3JUS2XU6qnHVqUJPNL8RXIL6WxI3rwH18Y7mrOtbjR4BVENkNyZlVk9NS1FQ6NFqg6xekVFoUhhCoq3/nJRuTh08SjvnBk3bgIKUfBNahN7RnCuWQuKM4qoSxZgkIcrNzoXe0Xxl2IFETaHLLCp7ybXYrl/JZFKwCP9Yw1bpDVVVH/cuWRV6R/MoM/u9ma03s3Vm9riZHRZ2cLVAK6qaVaKmlPuJRLoUeknqb4CHgeHAQSTOLTwYVlBRl9gr1w+v1oS5xOphbVAuESg8KZi73+/ue4K//6bOD7QLPQKo65lQoEo3XZV6dKZlFS36jUVToSeanzeza0kcHTjwBWCKmQ0BcPeNIcVXAdk3aGoWiZ586SdXgipkI1TqEo/imlLsLT+RbQqNalw9EOUqFZoUvhD8nxj87/rlfYlE/UaVM6goKDQhROWIu5EO/cOoa0F3O2dZJRpp3kv9y5kUzOxEYIW7HxZ8v5zEy3WWAzfU9hFCeUQ541dKrRxR5Yoz18nZfM1jkd3DrhdKuhWV75zCncAuADM7E/gxcC+JZx9NCje06sr1Q9cdzfWnp09XieLqUGyNKr1OF3zZd6hRSLp8zUdNKUcDXwAmufujwKMpzzMSKUkYG6GcRwMlbl5q5Uio/mk5VEK+I4UmM+tKHOcCz6X0K/R8RKTlfFaO1sGClLyxLWH+9ugdzYXcmZwjqGo9V6lkekqqlCDfhv0B4AUz20DiKabTAMxsDIkmpLpVa7+Pah5iV7rZIYzJ9eSGLzUllqaRZ1uUE3DOpODuPzSzZ0nctPZ0ymOte5F4x0LDqvUVusaeUN5NtSLPeZ6pcmGEprRnUZW+NAodsnbX1NpUyKOzX83QbXE44VRett9BzmaEcEKRAvRk3pe6Ua/F50qJlKrQO5pFsqrhg4691FFVilZPy1FKp6SQg34jUqgoriu6akpK0fBJIVs7ar77FD4oWNZwStZIT8ZsnJpGn5rW6k/DJ4VSNdJGOB/NivpIVBVfjkW+ea2emreifBSnpNBTNbo1qKcfmIiUj5JCCXSUUJtyP/soKJMjWdZ7HtWOgoCSQk61fC1/JVVyNoX2juYch3w1+47mKAYlkdfwSSHbxqDgH1REfnjVPHaJcvtoqrBOikb1uLESSaESy7421q760fBJoVRR3RDUux7dvJZj89LTjVs9rA9qFRUIMSmY2cFm9ryZLTBdIEScAAAKm0lEQVSzeWZ2TYYyZma3mlmbmb1pZuPCiqdYtbL3W6py1q5WLksM881rUVLqxj2qzU21sXYVJ6rzGsJ90uke4FvuPsvM9gVmmtkz7j4/pcwngLHB38nAz4P/taMe19gi1cMeZq0kNpGwWaVOpprZ48Dt7v5MSrc7gbi7PxB8XwTE3H1NtvG0trb6jBkzSoqh5dopJQ3X6Ab2bWLrro6KTa9vUy92dXRm7Dd4nz5s2ra7YrGIRMm3T+zP1y48t6RhzWymu7fmK1eRdyKYWQtwPDA9rdcIYEXK95VBt25JwcwmErwfurm5mXg8HlKkkkklEwKQNSEASgjS0G5+fQdHfjge6jRCTwpmNgh4FPimu29J751hkL0OXdx9EsHrP1tbWz0Wi5UWzFQdKYhIbSt5+1egUK8+MrM+JBLCr939dxmKrAQOTvk+ElgdZkwiIpJdmFcfGXA3sMDdf5ql2GTgsuAqpFOAzbnOJ4iISLjCbD46Hfgi8Gczmx10+y5wCIC73wE8CVwAtAHbgCtDjEdERPIILSm4+0vkuWAzeL3n18OKQUREiqM7mkVEJElJQUREkpQUREQkSUlBRESSlBRERCRJSUFERJKUFEREJElJQUREkpQUREQkSUlBRESSlBRERCRJSUFERJKUFEREJElJQUREkpQUREQkSUlBRESSlBRERCRJSUFERJKUFEREJElJQUREkpQUREQkSUlBRESSlBRERCRJSUFERJJCSwpm9kszW2dmc7P0j5nZZjObHfxdF1YsIiJSmN4hjvse4Hbgvhxlprn7p0KMQUREihDakYK7vwhsDGv8IiJSfmEeKRTiVDObA6wG/sXd52UqZGYTgYkAzc3NxOPxykUoIhIhYW//qpkUZgGHunu7mV0APAaMzVTQ3ScBkwBaW1s9FouVNsWpU0obTkQkIkre/hWoalcfufsWd28PPj8J9DGzA6oVj4iIVDEpmNkwM7Pg80lBLO9WKx4REQmx+cjMHgBiwAFmthK4HugD4O53ABcBXzWzPcB24GJ397DiERGR/EJLCu5+SZ7+t5O4ZFVERCJCdzSLiEiSkoKIiCQpKYiISJKSgoiIJCkpiIhIkpKCiIgkKSmIiEiSkoKIiCQpKYiISJKSgoiIJCkpiIhIkpKCiIgkKSmIiEiSkoKIiCQpKYiISJKSgoiIJCkpiIhIkpKCiIgkKSmIiEiSkoKIiCQpKYiISJKSgoiIJCkpiIhIkpKCiIgkhZYUzOyXZrbOzOZm6W9mdquZtZnZm2Y2LqxYRESkMGEeKdwDTMjR/xPA2OBvIvDzEGMREZEChJYU3P1FYGOOIp8F7vOEV4HBZjY8rHheWLw+rFGLiNSN3lWc9ghgRcr3lUG3NekFzWwiiaMJmpubicfjRU+s7b2OkoIUEYmKc0Z4Sdu/YlQzKViGbp6poLtPAiYBtLa2eiwWK3piMWDMh+KUMmwti8dV50agOjeGStS5mlcfrQQOTvk+ElhdpVhERITqJoXJwGXBVUinAJvdfa+mIxERqZzQmo/M7AESrTYHmNlK4HqgD4C73wE8CVwAtAHbgCvDikVERAoTWlJw90vy9Hfg62FNX0REiqc7mkVEJElJQUREkpQUREQkSUlBRESSLHG+t3aY2Xrg7RIHPwDYUMZwaoHq3BhU58bQkzof6u5D8xWquaTQE2Y2w91bqx1HJanOjUF1bgyVqLOaj0REJElJQUREkhotKUyqdgBVoDo3BtW5MYRe54Y6pyAiIrk12pGCiIjkoKQgIiJJDZMUzGyCmS0yszYzu7ba8ZTKzA42s+fNbIGZzTOza4LuQ8zsGTNbEvz/UNDdzOzWoN5vmtm4lHFdHpRfYmaXV6tOhTKzJjN7w8yeCL4fZmbTg/gfMrO+Qfd+wfe2oH9Lyji+E3RfZGbnV6cmhTGzwWb2iJktDJb3qfW+nM3sn4L1eq6ZPWBm/ettOZvZL81snZnNTelWtuVqZieY2Z+DYW41s0wvNMvO3ev+D2gClgKjgL7AHODIasdVYl2GA+OCz/sCi4EjgZuBa4Pu1wI/CT5fAPyBxJvuTgGmB92HAMuC/x8KPn+o2vXLU/d/Bn4DPBF8fxi4OPh8B/DV4PPXgDuCzxcDDwWfjwyWfT/gsGCdaKp2vXLU917g6uBzX2BwPS9nEq/jfQsYkLJ8r6i35QycCYwD5qZ0K9tyBV4DTg2G+QPwiaLiq/YMqtBCOBV4KuX7d4DvVDuuMtXtceCvgEXA8KDbcGBR8PlO4JKU8ouC/pcAd6Z071Yuan8k3sz3LHAO8ESwwm8AeqcvY+Ap4NTgc++gnKUv99RyUfsD9gs2kJbWvW6XMx+8t31IsNyeAM6vx+UMtKQlhbIs16DfwpTu3coV8tcozUddK1uXlUG3mhYcLh8PTAeaPXhzXfD/wKBYtrrX2jy5Bfg20Bl8/zCwyd33BN9T40/WLei/OShfS3UeBawHfhU0md1lZgOp4+Xs7quAfwf+AqwhsdxmUt/LuUu5luuI4HN694I1SlLI1KZW09fimtkg4FHgm+6+JVfRDN08R/fIMbNPAevcfWZq5wxFPU+/mqkziT3fccDP3f14YCuJZoVsar7OQTv6Z0k0+RwEDAQ+kaFoPS3nfIqtY4/r3ihJYSVwcMr3kcDqKsXSY2bWh0RC+LW7/y7o/I6ZDQ/6DwfWBd2z1b2W5snpwGfMbDnwIIkmpFuAwWbW9fbA1PiTdQv67w9spLbqvBJY6e7Tg++PkEgS9byczwPecvf17r4b+B1wGvW9nLuUa7muDD6ndy9YoySF14GxwVUMfUmclJpc5ZhKElxJcDewwN1/mtJrMtB1BcLlJM41dHW/LLiK4RRgc3B4+hTwcTP7ULCH9vGgW+S4+3fcfaS7t5BYds+5+6XA88BFQbH0OnfNi4uC8h50vzi4auUwYCyJk3KR4+5rgRVmdnjQ6VxgPnW8nEk0G51iZvsE63lXnet2Oacoy3IN+r1vZqcE8/CylHEVptonXCp4YucCElfqLAW+V+14elCPM0gcDr4JzA7+LiDRlvossCT4PyQob8DPgnr/GWhNGdeXgLbg78pq163A+sf44OqjUSR+7G3Ab4F+Qff+wfe2oP+olOG/F8yLRRR5VUYV6nocMCNY1o+RuMqkrpczcCOwEJgL3E/iCqK6Ws7AAyTOmewmsWd/VTmXK9AazL+lwO2kXayQ70+PuRARkaRGaT4SEZECKCmIiEiSkoKIiCQpKYiISJKSgoiIJPXOX0SkMZlZ12WCAMOADhKPngDY5u6nVSUwkRDpklSRApjZDUC7u/97tWMRCZOaj0RKYGbtwf+Ymb1gZg+b2WIz+z9mdqmZvRY80350UG6omT1qZq8Hf6dXtwYimSkpiPTcscA1wMeALwIfcfeTgLuAfwjK/D/gP939RODCoJ9I5OicgkjPve7BY4/NbCnwdND9z8DZwefzgCNTXoK1n5nt6+7vVzRSkTyUFER6bmfK586U75188BvrReJFL9srGZhIsdR8JFIZTwPf6PpiZsdVMRaRrJQURCrjH4HW4OXr84GvVDsgkUx0SaqIiCTpSEFERJKUFEREJElJQUREkpQUREQkSUlBRESSlBRERCRJSUFERJL+P3aIqai9zAvQAAAAAElFTkSuQmCC\n", 1755 | "text/plain": [ 1756 | "
" 1757 | ] 1758 | }, 1759 | "metadata": { 1760 | "needs_background": "light" 1761 | }, 1762 | "output_type": "display_data" 1763 | }, 1764 | { 1765 | "name": "stdout", 1766 | "output_type": "stream", 1767 | "text": [ 1768 | "Min spread - initial parameter values: 1 Min spread - new parameter values: 1\n", 1769 | "Max spread - initial parameter values: 8 Max spread - new parameter values: 4\n", 1770 | "Mean spread - initial parameter values: 1.9552077605844003 Mean spread - new parameter values: 1.2875581429653158\n", 1771 | "75% quantile spread - initial parameter values: 3.0 Mean spread - new parameter values: 2.0\n", 1772 | "**** Mid-price part ****\n", 1773 | "** Inital parameter Values **\n" 1774 | ] 1775 | }, 1776 | { 1777 | "data": { 1778 | "image/png": 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\n", 1779 | "text/plain": [ 1780 | "
" 1781 | ] 1782 | }, 1783 | "metadata": { 1784 | "needs_background": "light" 1785 | }, 1786 | "output_type": "display_data" 1787 | }, 1788 | { 1789 | "name": "stdout", 1790 | "output_type": "stream", 1791 | "text": [ 1792 | "** New parameter values **\n" 1793 | ] 1794 | }, 1795 | { 1796 | "data": { 1797 | "image/png": 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\n", 1798 | "text/plain": [ 1799 | "
" 1800 | ] 1801 | }, 1802 | "metadata": { 1803 | "needs_background": "light" 1804 | }, 1805 | "output_type": "display_data" 1806 | }, 1807 | { 1808 | "name": "stdout", 1809 | "output_type": "stream", 1810 | "text": [ 1811 | "Min mid-price - initial parameter values: 463.5 Min mid-price - new parameter values: 475.5\n", 1812 | "Max mid-price - initial parameter values: 513.5 Max mid-price - new parameter values: 504.5\n", 1813 | "Mean mid-price - initial parameter values: 486.7685374283246 Mean mid-price - new parameter values: 489.59323771499373\n", 1814 | "75% quantile mid-price - initial parameter values: 496.5 Mean mid-price - new parameter values: 497.5\n", 1815 | "**** Weighted Mid-price part ****\n", 1816 | "** Inital parameter Values **\n" 1817 | ] 1818 | }, 1819 | { 1820 | "data": { 1821 | "image/png": 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\n", 1822 | "text/plain": [ 1823 | "
" 1824 | ] 1825 | }, 1826 | "metadata": { 1827 | "needs_background": "light" 1828 | }, 1829 | "output_type": "display_data" 1830 | }, 1831 | { 1832 | "name": "stdout", 1833 | "output_type": "stream", 1834 | "text": [ 1835 | "** New parameter values **\n" 1836 | ] 1837 | }, 1838 | { 1839 | "data": { 1840 | "image/png": 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\n", 1841 | "text/plain": [ 1842 | "
" 1843 | ] 1844 | }, 1845 | "metadata": { 1846 | "needs_background": "light" 1847 | }, 1848 | "output_type": "display_data" 1849 | }, 1850 | { 1851 | "name": "stdout", 1852 | "output_type": "stream", 1853 | "text": [ 1854 | "Min weighted mid-price - initial parameter values: 463.3333333333333 Min weighted mid-price - new parameter values: 475.0\n", 1855 | "Max weighted mid-price - initial parameter values: 513.875 Max weighted mid-price - new parameter values: 504.9375\n", 1856 | "Mean weighted mid-price - initial parameter values: 486.78035553499893 Mean weighted mid-price - new parameter values: 489.58899329225534\n", 1857 | "75% quantile weighted mid-price - initial parameter values: 496.5 Mean weighted mid-price - new parameter values: 497.5\n", 1858 | "**** Mid-price increments part ****\n", 1859 | "** Inital parameter Values **\n" 1860 | ] 1861 | }, 1862 | { 1863 | "data": { 1864 | "image/png": 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QeQTYXdJ66drIXsC9wE3AISnPBOCK9PjKtExaf2NEREo/LM0O2xYYDdwG3A6MTrPJ1qa4mH9lA/tjZmY9aOQ1lVslzQTuBDqAv1IMQV0FTJf0jZQ2LRWZBlwkaT7FGcphqZ65kmZQBKQO4ISIeBVA0qeAaylmlp0XEXMb1R8zM+tZw4IKQEScBpxWkfwQxcytyrwvAod2Uc9UYGqV9KuBq/veUjMzy8HfqDczs2wcVMzMLBsHFTMzy8ZBxczMsnFQMTOzbBxUzMwsGwcVMzPLxkHFzMyycVAxM7NsHFTMzCwbBxUzM8vGQcXMzLJxUDEzs2wcVMzMLBsHFTMzy8ZBxczMsnFQMTOzbBxUzMwsGwcVMzPLxkHFzMyycVAxM7NsHFTMzCwbBxUzM8vGQcXMzLJxUDEzs2wcVMzMLBsHFTMzy8ZBxczMsnFQMTOzbBxUzMwsGwcVMzPLxkHFzMyycVAxM7NsHFTMzCwbBxUzM8vGQcXMzLJpaFCRNEzSTEn3SZonaQ9Jm0q6XtKD6f8mKa8knS1pvqS7Je1cqmdCyv+gpAml9F0kzUllzpakRvbHzMy61+gzlbOA30fEW4G3A/OAKcANETEauCEtA+wHjE5/k4CfAkjaFDgN2A3YFTitMxClPJNK5cY3uD9mZtaNhgUVSRsBewLTACLi5YhYBhwEXJCyXQAcnB4fBFwYhVnAMElbAvsC10fEkohYClwPjE/rNoqIv0REABeW6jIzsyZo5JnKdsCTwH9L+qukcyWtDwyPiMUA6f8bUv4RwMJS+UUprbv0RVXSzcysSYY0uO6dgU9HxK2SzmLlUFc11a6HRC/SV61YmkQxTMbw4cNpb2/vphldW7FiRa/L9jcDpS/9uR+Tx3bUlX/40PrK9Nd+Q/9+XuoxUPoBq68vdQcVSYOADSLi2R6yLgIWRcStaXkmRVB5XNKWEbE4DWE9Uco/slR+a+CxlN5Wkd6e0reukn8VEXEOcA7AuHHjoq2trVq2HrW3t9Pbsv3NQOlLf+7HxClX1ZV/8tgOzphT+yG54Ii2Olu0+vTn56UeA6UfsPr6UtPwl6RfStooDV/dC9wv6YvdlYmIfwALJb0lJe2Vyl4JdM7gmgBckR5fCRyZZoHtDjyThseuBfaRtEm6QL8PcG1at1zS7mnW15GluszMrAlq/Vg0JiKelXQEcDVwEjAb+G4P5T4NXCxpbeAh4CiKQDZD0jHAI8ChKe/VwP7AfOD5lJeIWCLp68DtKd/XImJJenw8cD4wFLgm/ZmZWZPUGlTWkrQWxeyqH0XEK5KqXr8oi4i7gHFVVu1VJW8AJ3RRz3nAeVXS7wB26qkdZma2etQ6++vnwAJgfeBmSdsAPV1TMTOzNUxNZyoRcTZwdinp75Le35gmmZlZq6r1Qv1wSdMkXZOWx7DyYruZmRlQ+/DX+RSzsLZKyw8AJzaiQWZm1rpqDSqbR8QM4DWAiOgAXm1Yq8zMrCXVGlSek7QZ6Rvrnd8jaVirzMysJdU6pfjzFF9O3F7S/wBbAIc0rFVmZtaSap39daek9wFvobjn1v0R8UpDW2ZmZi2n1tlfJ1Dc72tuRNwDbCDpk41tmpmZtZpar6kcm34LBYD0uybHNqZJZmbWqmoNKoPKP9UraTCwdmOaZGZmrarWC/XXUtwE8mcUM8COA37fsFaZmVlLqjWonAR8guKuwAKuA85tVKPMzKw11Tr76zXgp+nPzMysqpqCiqR/Bb4KbJPKiOJu9ds1rmlmZtZqah3+mgZ8juKHuXx7FjMzq6rWoPJMRPhXFc3MrFu1BpWbJH0XuBx4qTMxIu5sSKvMzKwl1RpUdkv/yz8NHMAH8jbHzMxaWa2zv/wrj2Zm1qNe//KjpGMa2zQzM2s1/uVHMzPLxr/8aGZm2fiXH83MLBv/8qOZmWXTY1CRNAhYF/AvP5qZWbd6DCoR8ZqkMyJiD2DuamiTmZm1qFqvqVwn6f+Wf6jLzMysUj3XVNYHOiS9yMq7FG/UsJaZmVnLqfUb9Rs2uiFmZtb6av09lT2rpUfEzXmbY2ZmrazW4a8vlh6vC+xK8dsqvqGkmZn9U63DXx8sL0saCXynIS0yM7OWVevsr0qLgJ1yNsTMzFpfrddUfki6RQtFIHoH8LdGNcrMzFpTrddU7ig97gAuiYj/aUB7zMyshdUaVGYCL0bEqwCSBktaLyKeb1zTzMys1dR6TeUGYGhpeSjwh1oKpgD0V0m/S8vbSrpV0oOSLpW0dkpfJy3PT+tHleo4OaXfL2nfUvr4lDZf0pQa+2JmZg1Sa1BZNyJWdC6kx+vVWPazwLzS8reBMyNiNLAU6PwFyWOApRGxA3BmyoekMcBhwI7AeOAnKVANBn4M7AeMAQ5Pec3MrEnq+T2VnTsXJO0CvNBTIUlbAwcA56ZlUXy3ZWbKcgFwcHp8UFomrd8r5T8ImB4RL0XEw8B8iu/J7ArMj4iHIuJlYHrKa2ZmTVLrNZUTgV9Jeiwtbwl8pIZyPwC+BHTe5mUzYFn65UgopiaPSI9HAAuh+GVJSc+k/COAWaU6y2UWVqTvVq0RkiYBkwCGDx9Oe3t7DU1f1YoVK3pdtr8ZKH3pz/2YPLaj50wlw4fWV6a/9hv69/NSj4HSD1h9fan1y4+3S3orK39P5b6efk9F0oHAExExW1JbZ3K16ntY11V6tbOsqJJGRJwDnAMwbty4aGtrq5atR+3t7fS2bH8zUPrSn/sxccpVdeWfPLaDM+bU+jkPFhzRVmeLVp/+/LzUY6D0A1ZfX2oa/pJ0ArB+RNwTEXOADSR9sodi/wp8SNICiqGpD1CcuQyT1HnkbA10nv0sAkam7Q0BNgaWlNMrynSVbmZmTVLrNZVjI2JZ50JELAWO7a5ARJwcEVtHxCiKC+03RsQRwE2s/CniCcAV6fGVaZm0/saIiJR+WJodti0wGrgNuB0YnWaTrZ22cWWN/TEzswao9Vx7kCSlN3nSzKu1e7nNk4Dpkr4B/BWYltKnARdJmk9xhnIYQETMlTQDuJfii5cnlL4v8yngWmAwcF5E+JcpzcyaqNagch0wQ9LPKK5bHA/8vtaNREQ70J4eP0Qxc6syz4vAoV2UnwpMrZJ+NXB1re0wM7PGqjWofIViuOs4igvn17HyDMPMzAzoIaikC+bfBI6imL4riovjD1Ncj3m10Q00M7PW0dOF+u8CmwLbRcTOEfFOYFuKmVnfa3TjzMystfQUVA6kmPm1vDMhPT4e2L+RDTMzs9bTU1CJzhlfFYmv0sUXDc3MbM3VU1C5V9KRlYmSPgrc15gmmZlZq+pp9tcJwOWSjgZmU5ydvIvi1vcfbnDbzMysxXQbVCLiUWA3SR+guPW8gGsi4obV0TgzM2sttd5Q8kbgxga3xczMWlyt9/4yMzPrkYOKmZll46BiZmbZOKiYmVk2DipmZpaNg4qZmWXjoGJmZtk4qJiZWTYOKmZmlo2DipmZZeOgYmZm2TiomJlZNg4qZmaWjYOKmZll46BiZmbZOKiYmVk2DipmZpaNg4qZmWXjoGJmZtk4qJiZWTYOKmZmlo2DipmZZeOgYmZm2TiomJlZNg4qZmaWjYOKmZll46BiZmbZOKiYmVk2DQsqkkZKuknSPElzJX02pW8q6XpJD6b/m6R0STpb0nxJd0vauVTXhJT/QUkTSum7SJqTypwtSY3qj5mZ9ayRZyodwOSIeBuwO3CCpDHAFOCGiBgN3JCWAfYDRqe/ScBPoQhCwGnAbsCuwGmdgSjlmVQqN76B/TEzsx40LKhExOKIuDM9Xg7MA0YABwEXpGwXAAenxwcBF0ZhFjBM0pbAvsD1EbEkIpYC1wPj07qNIuIvERHAhaW6zMysCYasjo1IGgW8E7gVGB4Ri6EIPJLekLKNABaWii1Kad2lL6qSXm37kyjOaBg+fDjt7e296seKFSt6Xba/GSh96c/9mDy2o678w4fWV6a/9hv69/NSj4HSD1h9fWl4UJG0AXAZcGJEPNvNZY9qK6IX6asmRpwDnAMwbty4aGtr66HV1bW3t9Pbsv3NQOlLf+7HxClX1ZV/8tgOzphT+yG54Ii2Olu0+vTn56UeA6UfsPr60tDZX5LWoggoF0fE5Sn58TR0Rfr/REpfBIwsFd8aeKyH9K2rpJuZWZM0cvaXgGnAvIj4fmnVlUDnDK4JwBWl9CPTLLDdgWfSMNm1wD6SNkkX6PcBrk3rlkvaPW3ryFJdZmbWBI0c/vpX4GPAHEl3pbRTgNOBGZKOAR4BDk3rrgb2B+YDzwNHAUTEEklfB25P+b4WEUvS4+OB84GhwDXpz8zMmqRhQSUibqH6dQ+AvarkD+CELuo6DzivSvodwE59aKaZmWXkb9SbmVk2DipmZpaNg4qZmWXjoGJmZtk4qJiZWTYOKmZmlo2DipmZZeOgYmZm2TiomJlZNg4qZmaWjYOKmZll46BiZmbZOKiYmVk2DipmZpaNg4qZmWXjoGJmZtk4qJiZWTYOKmZmlo2DipmZZeOgYmZm2TiomJlZNg4qZmaWjYOKmZll46BiZmbZOKiYmVk2DipmZpaNg4qZmWXjoGJmZtk4qJiZWTYOKmZmlo2DipmZZTOk2Q0wa6ZRU65qdhN6rZFtX3D6AQ2r2wY2n6mYmVk2DipmZpaNg4qZmWXjoGJmZtk4qJiZWTYtP/tL0njgLGAwcG5EnN7kJllGPc1wmjy2g4ktPIOrv+rrzLKenhfPLhu4WvpMRdJg4MfAfsAY4HBJY5rbKjOzNVern6nsCsyPiIcAJE0HDgLubWqr1jCt/F0Paw5/x2bgUkQ0uw29JukQYHxEfDwtfwzYLSI+VZFvEjApLb4FuL+Xm9wceKqXZfubgdKXgdIPcF/6o4HSD+hbX7aJiC1qydjqZyqqkrZKlIyIc4Bz+rwx6Y6IGNfXevqDgdKXgdIPcF/6o4HSD1h9fWnpayrAImBkaXlr4LEmtcXMbI3X6kHldmC0pG0lrQ0cBlzZ5DaZma2xWnr4KyI6JH0KuJZiSvF5ETG3gZvs8xBaPzJQ+jJQ+gHuS380UPoBq6kvLX2h3szM+pdWH/4yM7N+xEHFzMyycVCpk6SvS7pb0l2SrpO0VbPb1BuSvivpvtSXX0sa1uw29ZakQyXNlfSapJab/ilpvKT7Jc2XNKXZ7ekLSedJekLSPc1uS19IGinpJknz0mvrs81uU29JWlfSbZL+lvrynw3dnq+p1EfSRhHxbHr8GWBMRBzX5GbVTdI+wI1pssO3ASLipCY3q1ckvQ14Dfg58IWIuKPJTapZutXQA8D/oZgifztweES05F0hJO0JrAAujIidmt2e3pK0JbBlRNwpaUNgNnBwKz4vkgSsHxErJK0F3AJ8NiJmNWJ7PlOpU2dASdanypctW0FEXBcRHWlxFsV3fFpSRMyLiN7eJaHZ/nmroYh4Gei81VBLioibgSXNbkdfRcTiiLgzPV4OzANGNLdVvROFFWlxrfTXsPctB5VekDRV0kLgCOA/mt2eDI4Grml2I9ZQI4CFpeVFtOib10AlaRTwTuDW5rak9yQNlnQX8ARwfUQ0rC8OKlVI+oOke6r8HQQQEadGxEjgYuBT3dfWPD31I+U5Feig6Eu/VUtfWlRNtxqy5pC0AXAZcGLFKEVLiYhXI+IdFCMSu0pq2NBkS3/5sVEiYu8as/4SuAo4rYHN6bWe+iFpAnAgsFf084trdTwnrca3Guqn0vWHy4CLI+LyZrcnh4hYJqkdGA80ZDKFz1TqJGl0afFDwH3NaktfpB83Own4UEQ83+z2rMF8q6F+KF3cngbMi4jvN7s9fSFpi87ZnZKGAnvTwPctz/6qk6TLKG6f/xrwd+C4iHi0ua2qn6T5wDrA0ylpVivOYgOQ9GHgh8AWwDLgrojYt7mtqp2k/YEfsPJWQ1Ob3KRek3QJ0EZxm/XHgdMiYlpTG9ULkt4D/AmYQ3GsA5wSEVc3r1W9I+lfgAsoXl+DgBkR8bWGbc9BxczMcvHwl5mZZeOgYmZm2TiomJlZNg4qZmaWjYOKmZll46BiloGkdkn7VqSdKOkn3ZRZ0dU6s1bloGKWxyUUX1wsOyylm60xHFTM8pgJHChpHfjnTQi3Au6SdIOkOyXNqXavMknsDQUcAAABkUlEQVRtkn5XWv6RpInp8S6S/ihptqRr0y3ZkfQZSfem38OZ3vjumdXG9/4yyyAinpZ0G8U9la6gOEu5FHgB+HBEPCtpc2CWpCtruddauvfUD4GDIuJJSR8BplLcVXoKsG1EvNTKP7BmA4+Dilk+nUNgnUHlaIq7EH8z/XjVaxS3tR8O/KOG+t4C7ARcX9yKisHA4rTubuBiSb8BfpOxD2Z94qBils9vgO9L2hkYmn41cCLFPcl2iYhXJC0A1q0o18Hrh6I71wuYGxF7VNnWAcCeFDc1/YqkHUs/umbWNL6mYpZJ+nW9duA8Vl6g3xh4IgWU9wPbVCn6d2CMpHUkbQzsldLvB7aQtAcUw2GSdpQ0CBgZETcBXwKGARs0ql9m9fCZillelwCXs3Im2MXAbyXdAdxFlVuOR8RCSTMohrQeBP6a0l+WdAhwdgo2QyjuZvwA8IuUJuDMiFjW2G6Z1cZ3KTYzs2w8/GVmZtk4qJiZWTYOKmZmlo2DipmZZeOgYmZm2TiomJlZNg4qZmaWzf8HsmN7F7icRtYAAAAASUVORK5CYII=\n", 1865 | "text/plain": [ 1866 | "
" 1867 | ] 1868 | }, 1869 | "metadata": { 1870 | "needs_background": "light" 1871 | }, 1872 | "output_type": "display_data" 1873 | }, 1874 | { 1875 | "name": "stdout", 1876 | "output_type": "stream", 1877 | "text": [ 1878 | "** New parameter values **\n" 1879 | ] 1880 | }, 1881 | { 1882 | "data": { 1883 | "image/png": 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\n", 1884 | "text/plain": [ 1885 | "
" 1886 | ] 1887 | }, 1888 | "metadata": { 1889 | "needs_background": "light" 1890 | }, 1891 | "output_type": "display_data" 1892 | }, 1893 | { 1894 | "name": "stdout", 1895 | "output_type": "stream", 1896 | "text": [ 1897 | "** Initial parameter values **\n", 1898 | "** New parameter values **\n" 1899 | ] 1900 | }, 1901 | { 1902 | "data": { 1903 | "image/png": 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\n", 1904 | "text/plain": [ 1905 | "
" 1906 | ] 1907 | }, 1908 | "metadata": { 1909 | "needs_background": "light" 1910 | }, 1911 | "output_type": "display_data" 1912 | }, 1913 | { 1914 | "data": { 1915 | "image/png": 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\n", 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" 1918 | ] 1919 | }, 1920 | "metadata": { 1921 | "needs_background": "light" 1922 | }, 1923 | "output_type": "display_data" 1924 | } 1925 | ], 1926 | "source": [ 1927 | "influence_lamda(2)" 1928 | ] 1929 | }, 1930 | { 1931 | "cell_type": "code", 1932 | "execution_count": 31, 1933 | "metadata": {}, 1934 | "outputs": [], 1935 | "source": [ 1936 | "def influence_theta(theta):\n", 1937 | " \n", 1938 | " # Initial parameters values\n", 1939 | " Y = np.zeros(1000)\n", 1940 | " Y[range(500)] =- 10\n", 1941 | " Y[range(500,999)] = 10\n", 1942 | " b = orderbooksimulation(1000,10,2.5,1,0.2,Y,10000)\n", 1943 | " data = b[0]\n", 1944 | "\n", 1945 | " # New parameters values\n", 1946 | " Y = np.zeros(1000)\n", 1947 | " Y[range(500)] =- 10\n", 1948 | " Y[range(500,999)] = 10\n", 1949 | " b = orderbooksimulation(1000,10,2.5,1,theta,Y,10000)\n", 1950 | " newdata = b[0]\n", 1951 | " \n", 1952 | " # Spread part:\n", 1953 | " ##############\n", 1954 | " print('**** Spread part ****')\n", 1955 | " #Spread\n", 1956 | " print('** Inital parameter Values **')\n", 1957 | " plt.plot(data['Time'],data['Spread'])\n", 1958 | " plt.title('Spread distribution')\n", 1959 | " plt.xlabel('Time')\n", 1960 | " plt.ylabel('Spread')\n", 1961 | " plt.grid(True)\n", 1962 | " plt.show()\n", 1963 | "\n", 1964 | " #Spread\n", 1965 | " print('** New parameter values **')\n", 1966 | " plt.plot(newdata['Time'],newdata['Spread'])\n", 1967 | " plt.title('Spread distribution')\n", 1968 | " plt.xlabel('Time')\n", 1969 | " plt.ylabel('Spread')\n", 1970 | " plt.grid(True)\n", 1971 | " plt.show()\n", 1972 | " \n", 1973 | " # Comparison\n", 1974 | " print('Min spread - initial parameter values:',min(data['Spread']),'Min spread - new parameter values:', min(newdata['Spread']))\n", 1975 | " print('Max spread - initial parameter values:',max(data['Spread']),'Max spread - new parameter values:',max(newdata['Spread']))\n", 1976 | " print('Mean spread - initial parameter values:',np.mean(data['Spread']),'Mean spread - new parameter values:',np.mean(newdata['Spread']))\n", 1977 | " print('75% quantile spread - initial parameter values:',np.quantile(data['Spread'],0.75),'Mean spread - new parameter values:',np.quantile(newdata['Spread'],0.75))\n", 1978 | " \n", 1979 | " # Mid price:\n", 1980 | " ##############\n", 1981 | " print('**** Mid-price part ****')\n", 1982 | " # Mid price\n", 1983 | " print('** Inital parameter Values **')\n", 1984 | " plt.plot(data['Time'],data['Mid price'])\n", 1985 | " plt.title('Mid price')\n", 1986 | " plt.xlabel('Time')\n", 1987 | " plt.ylabel('Mid price')\n", 1988 | " plt.grid(True)\n", 1989 | " plt.show()\n", 1990 | "\n", 1991 | " # Mid price\n", 1992 | " print('** New parameter values **')\n", 1993 | " plt.plot(newdata['Time'],newdata['Mid price'])\n", 1994 | " plt.title('Mid price')\n", 1995 | " plt.xlabel('Time')\n", 1996 | " plt.ylabel('Mid price')\n", 1997 | " plt.grid(True)\n", 1998 | " plt.show()\n", 1999 | " \n", 2000 | " # Comparison\n", 2001 | " print('Min mid-price - initial parameter values:',min(data['Mid price']),'Min mid-price - new parameter values:', min(newdata['Mid price']))\n", 2002 | " print('Max mid-price - initial parameter values:',max(data['Mid price']),'Max mid-price - new parameter values:',max(newdata['Mid price']))\n", 2003 | " print('Mean mid-price - initial parameter values:',np.mean(data['Mid price']),'Mean mid-price - new parameter values:',np.mean(newdata['Mid price']))\n", 2004 | " print('75% quantile mid-price - initial parameter values:',np.quantile(data['Mid price'],0.75),'Mean mid-price - new parameter values:', np.quantile(newdata['Mid price'],0.75))\n", 2005 | " \n", 2006 | " # Weighted mid-price:\n", 2007 | " ##############\n", 2008 | " print('**** Weighted Mid-price part ****')\n", 2009 | " #WMP\n", 2010 | " print('** Inital parameter Values **')\n", 2011 | " plt.plot(data['Mid price'][1000:1500], label = 'Mid price')\n", 2012 | " plt.plot(data['Ask price'][1000:1500], label = 'Ask price')\n", 2013 | " plt.plot(data['Bid price'][1000:1500], label = 'Bid price')\n", 2014 | " plt.plot(data['Weighted mid price'][1000:1500], label = 'weighted mid price')\n", 2015 | " plt.title('Bid,ask and mid price - Small scale')\n", 2016 | " plt.xlabel('Time')\n", 2017 | " plt.ylabel('Price level')\n", 2018 | " plt.legend()\n", 2019 | " plt.grid(True)\n", 2020 | " plt.show()\n", 2021 | "\n", 2022 | " #WMP\n", 2023 | " print('** New parameter values **')\n", 2024 | " plt.plot(newdata['Mid price'][1000:1500], label = 'Mid price')\n", 2025 | " plt.plot(newdata['Ask price'][1000:1500], label = 'Ask price')\n", 2026 | " plt.plot(newdata['Bid price'][1000:1500], label = 'Bid price')\n", 2027 | " plt.plot(newdata['Weighted mid price'][1000:1500], label = 'Weighted mid price')\n", 2028 | " plt.title('Bid,ask and mid price - Small scale')\n", 2029 | " plt.xlabel('Time')\n", 2030 | " plt.ylabel('Price level')\n", 2031 | " plt.legend()\n", 2032 | " plt.grid(True)\n", 2033 | " plt.show()\n", 2034 | " \n", 2035 | " # Comparison\n", 2036 | " print('Min weighted mid-price - initial parameter values:',min(data['Weighted mid price']),'Min weighted mid-price - new parameter values:', min(newdata['Weighted mid price']))\n", 2037 | " print('Max weighted mid-price - initial parameter values:',max(data['Weighted mid price']),'Max weighted mid-price - new parameter values:',max(newdata['Weighted mid price']))\n", 2038 | " print('Mean weighted mid-price - initial parameter values:',np.mean(data['Weighted mid price']),'Mean weighted mid-price - new parameter values:',np.mean(newdata['Weighted mid price']))\n", 2039 | " print('75% quantile weighted mid-price - initial parameter values:',np.quantile(data['Weighted mid price'],0.75),'Mean weighted mid-price - new parameter values:', np.quantile(newdata['Weighted mid price'],0.75))\n", 2040 | " \n", 2041 | " \n", 2042 | " # Mid-price increments:\n", 2043 | " ##############\n", 2044 | " print('**** Mid-price increments part ****')\n", 2045 | " \n", 2046 | " #Increments\n", 2047 | " print('** Inital parameter Values **')\n", 2048 | " mid_price = data['Mid price']\n", 2049 | " mid_price_diff = data['Mid price'].diff()\n", 2050 | " mid_price_diff = mid_price_diff.dropna()\n", 2051 | " plt.hist(mid_price_diff, bins = 13)\n", 2052 | " plt.title('Distribution of mid-price increments - Whole sample')\n", 2053 | " plt.xlabel('Values')\n", 2054 | " plt.ylabel('Occurences')\n", 2055 | " plt.grid(True)\n", 2056 | " plt.show()\n", 2057 | " \n", 2058 | " #Increments\n", 2059 | " print('** New parameter values **')\n", 2060 | " mid_price = newdata['Mid price']\n", 2061 | " mid_price_diff_new = newdata['Mid price'].diff()\n", 2062 | " mid_price_diff_new = mid_price_diff_new.dropna()\n", 2063 | " plt.hist(mid_price_diff_new, bins = 13)\n", 2064 | " plt.title('Distribution of mid-price increments - Whole sample')\n", 2065 | " plt.xlabel('Values')\n", 2066 | " plt.ylabel('Occurences')\n", 2067 | " plt.grid(True)\n", 2068 | " plt.show()\n", 2069 | " \n", 2070 | " # Autocorrelation part:\n", 2071 | " ##############\n", 2072 | " \n", 2073 | " # Initial parameter values\n", 2074 | " print('** Initial parameter values **')\n", 2075 | " import statsmodels.graphics.tsaplots as tsa\n", 2076 | " tsa.plot_acf(mid_price_diff[:1000])\n", 2077 | " \n", 2078 | " # New parameter values\n", 2079 | " print('** New parameter values **')\n", 2080 | " import statsmodels.graphics.tsaplots as tsa\n", 2081 | " tsa.plot_acf(mid_price_diff_new[:1000])\n" 2082 | ] 2083 | }, 2084 | { 2085 | "cell_type": "code", 2086 | "execution_count": 32, 2087 | "metadata": {}, 2088 | "outputs": [ 2089 | { 2090 | "name": "stdout", 2091 | "output_type": "stream", 2092 | "text": [ 2093 | "**** Spread part ****\n", 2094 | "** Inital parameter Values **\n" 2095 | ] 2096 | }, 2097 | { 2098 | "data": { 2099 | "image/png": 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\n", 2100 | "text/plain": [ 2101 | "
" 2102 | ] 2103 | }, 2104 | "metadata": { 2105 | "needs_background": "light" 2106 | }, 2107 | "output_type": "display_data" 2108 | }, 2109 | { 2110 | "name": "stdout", 2111 | "output_type": "stream", 2112 | "text": [ 2113 | "** New parameter values **\n" 2114 | ] 2115 | }, 2116 | { 2117 | "data": { 2118 | "image/png": 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\n", 2119 | "text/plain": [ 2120 | "
" 2121 | ] 2122 | }, 2123 | "metadata": { 2124 | "needs_background": "light" 2125 | }, 2126 | "output_type": "display_data" 2127 | }, 2128 | { 2129 | "name": "stdout", 2130 | "output_type": "stream", 2131 | "text": [ 2132 | "Min spread - initial parameter values: 1 Min spread - new parameter values: 1\n", 2133 | "Max spread - initial parameter values: 7 Max spread - new parameter values: 14\n", 2134 | "Mean spread - initial parameter values: 1.9723005571331715 Mean spread - new parameter values: 2.3373550361766053\n", 2135 | "75% quantile spread - initial parameter values: 3.0 Mean spread - new parameter values: 3.0\n", 2136 | "**** Mid-price part ****\n", 2137 | "** Inital parameter Values **\n" 2138 | ] 2139 | }, 2140 | { 2141 | "data": { 2142 | "image/png": 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\n", 2143 | "text/plain": [ 2144 | "
" 2145 | ] 2146 | }, 2147 | "metadata": { 2148 | "needs_background": "light" 2149 | }, 2150 | "output_type": "display_data" 2151 | }, 2152 | { 2153 | "name": "stdout", 2154 | "output_type": "stream", 2155 | "text": [ 2156 | "** New parameter values **\n" 2157 | ] 2158 | }, 2159 | { 2160 | "data": { 2161 | "image/png": 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\n", 2162 | "text/plain": [ 2163 | "
" 2164 | ] 2165 | }, 2166 | "metadata": { 2167 | "needs_background": "light" 2168 | }, 2169 | "output_type": "display_data" 2170 | }, 2171 | { 2172 | "name": "stdout", 2173 | "output_type": "stream", 2174 | "text": [ 2175 | "Min mid-price - initial parameter values: 447.5 Min mid-price - new parameter values: 421.0\n", 2176 | "Max mid-price - initial parameter values: 508.5 Max mid-price - new parameter values: 567.5\n", 2177 | "Mean mid-price - initial parameter values: 478.5973066983718 Mean mid-price - new parameter values: 490.68234787573596\n", 2178 | "75% quantile mid-price - initial parameter values: 489.0 Mean mid-price - new parameter values: 517.5\n", 2179 | "**** Weighted Mid-price part ****\n", 2180 | "** Inital parameter Values **\n" 2181 | ] 2182 | }, 2183 | { 2184 | "data": { 2185 | "image/png": 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\n", 2186 | "text/plain": [ 2187 | "
" 2188 | ] 2189 | }, 2190 | "metadata": { 2191 | "needs_background": "light" 2192 | }, 2193 | "output_type": "display_data" 2194 | }, 2195 | { 2196 | "name": "stdout", 2197 | "output_type": "stream", 2198 | "text": [ 2199 | "** New parameter values **\n" 2200 | ] 2201 | }, 2202 | { 2203 | "data": { 2204 | "image/png": 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\n", 2205 | "text/plain": [ 2206 | "
" 2207 | ] 2208 | }, 2209 | "metadata": { 2210 | "needs_background": "light" 2211 | }, 2212 | "output_type": "display_data" 2213 | }, 2214 | { 2215 | "name": "stdout", 2216 | "output_type": "stream", 2217 | "text": [ 2218 | "Min weighted mid-price - initial parameter values: 447.1666666666667 Min weighted mid-price - new parameter values: 420.4\n", 2219 | "Max weighted mid-price - initial parameter values: 508.875 Max weighted mid-price - new parameter values: 567.8\n", 2220 | "Mean weighted mid-price - initial parameter values: 478.5945291054865 Mean weighted mid-price - new parameter values: 490.6788206624215\n", 2221 | "75% quantile weighted mid-price - initial parameter values: 488.85714285714283 Mean weighted mid-price - new parameter values: 517.5\n", 2222 | "**** Mid-price increments part ****\n", 2223 | "** Inital parameter Values **\n" 2224 | ] 2225 | }, 2226 | { 2227 | "data": { 2228 | "image/png": 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\n", 2229 | "text/plain": [ 2230 | "
" 2231 | ] 2232 | }, 2233 | "metadata": { 2234 | "needs_background": "light" 2235 | }, 2236 | "output_type": "display_data" 2237 | }, 2238 | { 2239 | "name": "stdout", 2240 | "output_type": "stream", 2241 | "text": [ 2242 | "** New parameter values **\n" 2243 | ] 2244 | }, 2245 | { 2246 | "data": { 2247 | "image/png": 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\n", 2248 | "text/plain": [ 2249 | "
" 2250 | ] 2251 | }, 2252 | "metadata": { 2253 | "needs_background": "light" 2254 | }, 2255 | "output_type": "display_data" 2256 | }, 2257 | { 2258 | "name": "stdout", 2259 | "output_type": "stream", 2260 | "text": [ 2261 | "** Initial parameter values **\n", 2262 | "** New parameter values **\n" 2263 | ] 2264 | }, 2265 | { 2266 | "data": { 2267 | "image/png": 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Gh33uaxZPH+2iiVQ0hbuMqnjMuPPG1TRs+zF1bU/wj9ddopOpImWgq2Vk1MVjxviuHYzv2sGblswY7eKIRIJa7iIiEaRwFxGJIIW7iEgEKdxFRCJI4S4iEkG6WkYiSzckk3OZwh2FQBTphmRyrjvnw10hEE2ZNySD7BuSnY3X0geBZz270j37SZbZr2WO937jUsOOh7+T/+fkmW8wucscdNriJz3nVVfFmFAz8tEbmXBPtb5/vfswQeDEYsYr50wu2AqvtBCIskTgHD7emxVKgTtBKmUy8mmggHOSwfjk9oN5b0j2i20HmDe1FvKEYm6ApsuRXr1nvU5YPvfwd56y5Vt6xuYQBE6gZDynTJtQzaIZE0d8PZEI91Tr+7ldnZzoDdLjxxfRCs93V8LjPQl+/Kv2QbtpRqMrJ9WaCzz5dxCGCkBf4HgYMOlwyWm9pYMyI1xSIZaSWnY6gHKWkb0Ozw6qjPny/Z0qa+78gcORk73gsGVPee4GWT++muqqGKf6Tv8/VFfFaJhQQ0e3HvEr0ReJcE+1vjODHZIh/dyuTr7yX820dZ7AgSsvnMXrFzcQuPP/XuzgxX3d/UIgZvDgpr309gWMHRNn2exJ3HbdJViY3X0J5+M/2MiW9iOc7E0wdkyMJbMm8ffXXEwsDPh8IZgK49xWoecJydRhumcEeT5B4Gxs7WLnwWM0Ta1leWNdugxng8HKl/laT/1CxhzcXrb1Lm+sY+H0CWzedQDiVdSMqWLh9Aksb6wr2zpEzmYVGe7usOfwCXr7nL4g4BfbOvq1vlNO9AZ87bHToXH/r9pZMmMiZkZLx1FO9QUYgCfDvSoeJ+FOTxj2J3oT/Hr3Yf5jw25WzJsCwIaXO9m0+3C6QjjRG7C5/Qg/3bSX5Y11wwrbUsI6CJwv/mQrLfuP0tMXUF0VY+H0CXx67ZJ+8wylEhjuPOfVj+enm/bS0tG/fEBW2X3pO6g6sjvdpTbcSisWMz69dgkf+tgnSUyYwc0fvumsq/hGwtle2cuZU5Hh3hsE7DxwPD3cMGFsv9b3QNyheX83MTN6E6e7CQgCxnS8wKrLX8+T2w9mzdPTF7Dz4LF0uO88eCwd/pnTvHTgKA9u2lNU2OaTL6zPb6hl7YWz2HXoeL8P68bWLrbt66Yn3I5TfQHb9nWzsbUrXdaBlluoXMOd51RfQMzIOuJIle+Hz7bywt5umvd1n369qpq+SXPY2NrF8sa6ktedTyxmVB9sgYMtrJj35wWnTwXjSweOEjjEzJg/rX9AliNAi11Xqcss5f9Hoq0iw90xNrzcmf5wXTRnMgsbJrC57SDETm9SPGYk8nRnJAJI5J7fj8VJTJrDpQumsv7lzn59tU1Ta9PDTVNr8/bnBk462CAZZi37j6bDNjcULpozmed3H04PB+795t+6p5sX93XTFyS3Z07dWL5w9Supqoqxo+NoOthTehLOE9s70t0PG1u7eHL7AV7c152uzHLLlc/G1q5Bt6WYefJ1JfUknP/Y2J53fuJV7Dx4jMC9YHnL3UJNBWNmZQlQk1Ox5FZgVTFjSm011186jxXnTSmpEi+0rlLl22db93Szbf9R+hI+5EpSKlPFhbtjHFz229z26Las1snprHYIAjjVTX3DDDqO9RS3YDOCmgkAWX21VfE4k8aNSfeDx2I2YH9uzCxvi37nwWNcNGcyt963id1dJ0gETnXcGBOP0Rd4OiTyHX04kBqVCJxdh07wibs3smjGBDbs6sy7Kete6qTr+BaM011PuU71BTzR0sGT2w8AcOmCqSyfW5eubNq7Tgy4LQOFe74jmpIECXZ3HufhLfvSwZ5Z3ie3HyjY3ZMbWo7RO/V87t3QlrdCTVUKqWDMrSwzK5bljXXcs6GNF/Z2Jy8tJHkiu6P7FF/52YvMnTIuXfEOpph1DfQeD/jWBc4T2w/k/f/JrCSb93azYVcnK5vqS1q+VJ6KC/fjdQvomTgnnXin+gJe2NudfDE+Jvwdg5oJdJ7ICXZ30mdF84lVsevQcT69dgkf/NifcmLxFQRjJ9LRfYp/fHQbMyePZVXTVOZNHc+bl0ynefPzeNU41r7uEt558Rzue76dWMzSH3yAMXGjLxFw810bOHyiLz2+J+H0JE6fJ+gLnL4BzhvkOnCshwM7Dg34eiJwXtx3FDP6hWSmp3YcSteJT2w/yPgxMXoSTl/gxKz/tctVseSy793Qxnn14wF4+eCxdLdCXxAQj52ujLK4Y2b5r4dOnU2OVfHkANtlwC93HqIv4eER2emT0Kn/gXs2tPHuFXOzTth2X3wtfZPm8MNn2xiTUaHmVgqDVUyZXW6ZwZ4pcNh16AS33reJv3nnKwdtGe88eGzALsTcCjTfEQrAhl2dPL0j2X24an49D2/ex9a9ha806gucb/z3DpbPrStYCUllq6hwTwROZ9Mbs7peIP/hP7F4/pAZjAfp0Do5/3V49YR0gPQkkq3mXYfaTk9fNw+AH21s5yeb9iZPDEI6rGIxw8z48fN76CvlYubUSgeriArIu75wuVVhwOVOcTzjaqP07BllSTg88Hx7vxZn3vXklt0DJo6r4cjJvvzzhOsYcJGcrqjybVsicO77VTvN+7q55W0X8Pzuwzy5/QB9k+dCfAxO/wo1s6Wcr6stJR4z+oJkl1m+YM+0u+tE3pZ3ZkgnAqcqXGY+bZ3HuefZNuZN7X+EsmDaeI6e7KO162R6+ie2H8Ss+C8dHT7Rl1UJDVSBFNPtpRO4Z6+KCvfHm/fTN6a2yNAr8R8sDKR/X9/KUzsOEtQ2FF5PxutZoRB+0gJnwBba6HDs2AEmz5jLwRK6q1ICp3Cw58yTXG3yms9+we5O+vjAht+KTATOlvYjfOh7z9KbCJKVQWzwf/FTfQEt+45k9OoFZP3vWDKEf7Jpb/99macSSwTJcx4XzZnMxrYunt5xkEQiweY93XSfSlYscUtW/Pnmd5JHVHAo7wnprXuP5t2OUr5NCtB66DgbdnWyfG4dt963ibbO4wSerMhmT65h4tgxbO84Nmi311BOusuZY7lfcz5TVq5c6evXry9pntse2caXH36hLEEAp78UZPlCvFAXzkgaaN0DjE9vR2rEQOUuwxHBkAy0Xg+IHe0gmNAwtH06Evso8/MwjGVXx5NXYw366RrB/zEPu8EGM612DOOrq9jVeaLfa0Z2t1zM4KqLZ/PuS+amz1kkAuc/f72n33dEFs+cyJUXzir6BPO5ZrjfUDWzZ919ZaHpKqrlvmz2JCzow+PVZVneoP/8oxXspaw7I4gKfZBLWm6ZuHuywhlwvQbxaggSyfMko1aOzCJZaqZhrXNIRzjDlfEN4MzhgdZz4FgvHOvNv6ic4cCT3Y8P/noPgSe7xnIrgNR0W/d088LebpbOnMSnr1QrfrQUFe5mdgXwD0Ac+Ia7fynn9RrgX4FXAQeB97r7zvIWFdYsnk710T2cnDgXLFb8BzZHMa2aUqYrYcXD+0CPZoVTgkGPiDKZEVTXYn2nCGJVpb/XRU5f1n14tjM7fQQ3AkcGmZXWYNWXO2zec4T3fXNdWdcfBfEYzJ9ay5+8dTFvWzZzxG5bUrC5ZGZx4HZgLbAUuM7MluZMdiPQ6e4Lga8Af1vugkKyP3DSnmchSCQ/sIOdgCtDd1PZQ6GE5SXv73L6Z8DlmY1aeJWlSy9elb5FQ9kNp3yVWCHklrkSt+EckAigpeMYH/neBt73jacLnqQfqmJa7quAFnffAWBmdwFXA1syprka+Mvw7x8CXzMz80E+/Ts6jvHerz9VcoEPNb3x9CWPAygUOmcqDMvR8h+N4B6s3P369/MorcwGNbVFr7ek5VdQuJX9KFEqwtM7DrH2H37OlPHl6WrOVExH5xygNWO4LRyXdxp37wMOA1NzF2RmN5nZejNb39ubv6+vkPPnzU3fB+ZsN5wPq5WhRZ6v1T/okUCBZWWVq1xHDBnLKrS8QtMUPNI5iynYz13HTxX3/ZZSFdNyz/dfl/vpKWYa3P0O4A5IXi3zgw9dVsTqsyUCp+mj3yY2abo+EEXIfY+Kec/Oxvf1bCu3WtpSDvGY8VdXLyvp2RF3f7i46YppubcBjRnDc4Hcm4OkpzGzKmAyMPBXKIchHjNOPHEnnhjkyzChM9GCG81W4kCt1KJPaI6CSmxV52NmkdmWYcl8momU7NVNU1izePqILLuYlvszwCIzmw/sBq4FfidnmvuBG4CngGuARwfrbx+u3rbn8UQvHk8WPzPESm5RFXld80CBOeJX0wxyxcNAAXM2hnrK2Vy2UmVty3C+QzBS17ufie9qRGh/ninxGCyYVssn3jKyV8sUDHd37zOzm4GHSF4K+S1332xmnwfWu/v9wDeBO82shWSL/doRKS3JbpmJ7/prYtXjyhMUHoT9voMfxJzJk7BQ8vdrR04YEFEK5ZHhyY7IEXqfYsCZONOU79r1dBkMrr5oNgtnTOSlA8e4Z0Nb//5Zg8Yib6B2rjqrHrPn7g8CD+aM+2zG3yeB3y5v0fJ7vHk/8brZ5QsbM8odpTWD3Vt+sNZU5jXKxc4zkoIAgl6oqik8bZm+/VrqkdecurHszrjPymiyk4fx8YPfzbE6bsycPI5d+7vw1LX9RWzvqvlTWPdSZ+kXjOb534mFy2s/fJIJNVW8dekM4rEYuw4dz/utUzO4dH49H3n9wqzAzr0XTzxmXH3x7Kybt8noqbiqdXP7EYjFB3y9XzDk9glmDCe/BBUb/Ov6QWntpaqY8eHXLRh4gjKHdFFBmOqbL7mnzAtedppStW8zsaP7R+aIIyx33Egfwo6JG8tmTeLaV59Hdbx8a507uYaptUO5LM3w+BimTahOlzFuhHeiTFbaNVUxFs2YyF//1jLGtq4j0d2Rd0m5uVhbHecPf2MhS2ZNpCpj2ePGFPj4piqOrMtIYcmsSfzRG1/B3777Yv7i7ctYvWAaK5vqedeKubx7xVwWTp9ATVUsXealsyZx8xsWZQV76rbXmdNdMHOigv0sUlG3HwBYMmsi/Q4cPbzL3iDZFTeYNXks+154BgNWXr6Gp3KeuJTXAOF5wYwJHDjaw4GcG3DFY0ZVVYxlsyaxde+R8jzZfogVQjw8KEkkBq4Ecm9Olf3iwJVoVvGAMccPMnbrj/n9L36bp3cc5MV9R+k4mv9B1DFL3SK4yPMF4bh4zHj7RbOJxyzr7oUzJ49l16H+90cp5DUL6lm9YCq/fOkQZsbq+fWsOG8KG1u7uO3Rbf2OvuIxY9G08RztCWjrylmfGVTX0nW8hzl141jVNJX50/rfP/6iOZP50kMvcLJxNfE8NzWrqYrxkTXn8/LB4zTv62bxjIm8c/kcqqpi3Hrl0n4Pe9nY1sVT2w/QdaKPunFVHDree/oW2GnOefXjOa++Nr2NAwVw6vGEhe70WOx0MnoqLtwHOi4dsH0dBkPCoeNoDzX7t1J9sIXLr7+GZ3OeuDTQvJmqYsYrZkzg1iuX8h/P7eaHG9qyXu/pC5L3hL9yCfdsaONHG3eXJ+CLYAbvuHg2CxompA+x7/tVe95ep3jMWDxjAmsvnMXLB4/xy52d7Dtykp6+oN896QsZEzfcYpyc9xpiZnxkzUI27Orkyz97sd/BwuXnT+U1509jR8dR7nlud0nb1xvey/1dK+ZmjV/VNDX7VsyhuXVj2XPkVN5tqamKcfnCBlbMm8Kq+dlfyUi1SjOftlRfW837w6ctbWzt4ss/e7H/cs3oC2DfkVPMn1abvu3vinlTsp6/27L/KFRV99stqScxrZxX369MkAzUzGUBrGyqz3rwxoaXO3npQE7FFASsnFdfdKs633qGM52MjooL9617u+mXVmZFBeipvgCfvoTEhBkE7ixsmJC+V/aYuKUfxrHn8Ame3H6wXz2ybPYkrrxwVrqFMn9abb/+9dQj+WIx490r5vLC3iNs2ZPbkupXfKaOr+53FFCqxinjueZVjcRixsqmeu7d0JY32MzI6htd2VTPOy+Zm3W/8dx+1/T25TzwIvUAjGONqyFexW2PbmPh9Anc8rYLWDpzEi/uTz4ub0zceMX0iXxkzcJ0wAx2bqIqZphlP2wk93GHKfn2Q01VjPe++jx+unnvgI+zS7X8cxVqlS5vrGNO3cBHC4MoRB0HAAAKIElEQVQ9sWqgB3XUVsf58OvPH/adFFMVU3qb3SEW5z9/vYfmfd26He85pOLCfdnsSdB3CqrHlTyvAT0NF0Asztcea+H8hlpufsPCfg8P3vByZ7/nqNZUxZK3Mc34wGa28DLvZ50KjVjMuPXKpax/+RDfeuIluk/2EXgyIGdMqqGxvpZY2B0A8LXHWrJPZAFVcUs//3LBtPEcO5WgtfNEVsVz+tmqF2Z9cJum1lIdt353KGycMr5fKy6zFRYETvO+7vR2ZVZ8uV0NqYqAqmQ/deoBGM/vPsynrxw8IDNbxwZ4+M3jmjFVnN9Qm35MYL73NtNA+2HFeVPSLe1SH0Q9WKs0FjO+cPUrs+6DnmmgSii1T/I9qKMnERAzG3bwpiqmeza0cd+v2kmE/07DeYSfVKaKC/c1i6eTOLKf+NTzijqZmHomQrK1GeDhCcJTfQE7DhxjSm01V1w4Eyd5mWXgzmsXTePhLXtp3tfNqd6AmjExFk2fyKvn16fvTOsOHjc+c+USNrR2sfNA/n7HWMxYNX8qK+fVD9o/GQTeL6DyPbkeKDqsljfWsWjGxHQrbqBKoN97VkR/air47t3QNuizVgcLyMx1zJ0yjn/6l2+TmDyH33zTa3nn8jnpZ5sW6tMtVN6R6DqoqorxN+98JRt2dXLn0y/Tebwn6yHUAx0VLG+sY0ptNR3d2ecj+hI+6PNpSxGLGfHwCUuZCj0DV6Kl4sI9HjN6X3qG+NRGcrtnGuvG8pm3L+Unm/YCsPbCmcRixgt7utnecZT7NmZ/sfZUb0DnsZ6815ze+5HLebx5P1vaj7B09iTWLJ4+4JcNLls4DSD9YUp9pNyTD2twB8d5VdMUgvDZn0Hma2HH9Hc/sIonWg6wde8RFs2YyGsWTE0+Bi2cx8Nlnjc1+SjAIHzaU+rh3ZnrSvV1f+ldF7H+5UNs7zjK/Km1XBIe9qfWmZonVer0emLGq+fX86qmKYNeZJPv8XSDtVwzpVrHyxvr+OJPtnKqcRXEq7K6EIoN5tHo/011aaWODoo5sRiLGddfOo/bHt1WVJfTUA1nv0g0VFy4AyQ6dkJvdtdMTVWMz/7WMt6ybCZvu3BW1vRvWTqTR7bu4+Et+zie8RDqcdVxls6elHcd8ZjxpiUzSrrnQ/8PdOmH2FdfMoer+92XbXheOXfysOZPVQSphmBmpXVx42R+0dLB822HOdGTYFx1nFfOmczvXjbv9JU4WZXZ6WWlnlP08+YD7Og4ltW1s73jKM37unl1U3163sx1Z5cP+lVO3r/cI6XUimXFeVN4xYyJA3bnlUOhLkOJvooM977WjfTt387kBRenA2V5Yx1vHCSI1yyezvLGOja2dmXNM1L3dYiSVPfX6cvJT1da1cT43h9cWvRRTj7th09wsjf7zninegOOneobdsUEZBzVeMaRyunKhYxxmcOZR0Ce9VrGcjIqrqDfHTj7lyW1zm/csJInWw7SvO8IC6dPZFVTfd73rF+58pQ5s+JLDbvDl99zMb986RAtHUdZMK2WV82rJzbYLTYGuBRNt44pr7FjirvEeLgqLtwTgVPVuJy+9q38wfXvIB6LceGcwoESjxl33rh6WCEk+Q3lKCfTstmTGFcdL/qoqlSnj6jOrn397lfNLTzRMC2eWZ73UCpPRYV7InDe/8111L75o1BVwzf++yWWN9Zx8xsXFhXSww0hGRk6qhIpv4oK98eb97OxtQsL+9qP9yTY2NrF4837FdgVTEdVIuVXUeG+uf0IJ3qy+2ZP9CTY0n5E4V7hdFQlUl4VdeOwJbMm5n0G8AWzRv72mSIilaSiwn3A+53qbL6ISJaKCvete7v7XbMcOHnugicicm6rqHBfNnsS46uzrxEdX8ZL5kREoqKiwj11ydz46jhGMth1yZyISH8VdbWMLpkTESlORYU76JI5EZFiVFS3jIiIFEfhLiISQQp3EZEIUriLiESQwl1EJILMR+lO/GbWAbw8xNmnAQfKWJxKoG0+N2ibzw3D2eZ57t5QaKJRC/fhMLP17r5ytMtxJmmbzw3a5nPDmdhmdcuIiESQwl1EJIIqNdzvGO0CjAJt87lB23xuGPFtrsg+dxERGVylttxFRGQQCncRkQiquHA3syvMrNnMWszsltEuT7mYWaOZPWZmW81ss5l9LBxfb2b/ZWbbwt9TwvFmZreF78PzZrZidLdgaMwsbmbPmdkD4fB8M1sXbu8PzKw6HF8TDreErzeNZrmHyszqzOyHZvZCuK8vOwf28SfC/+lNZvZ9Mxsbxf1sZt8ys/1mtiljXMn71sxuCKffZmY3DLU8FRXuZhYHbgfWAkuB68xs6eiWqmz6gE+6+xLgUuCj4bbdAjzi7ouAR8JhSL4Hi8Kfm4B/PvNFLouPAVszhv8W+Eq4vZ3AjeH4G4FOd18IfCWcrhL9A/BTd78AuJjktkd2H5vZHOCPgZXufiEQB64lmvv5O8AVOeNK2rdmVg98DlgNrAI+l6oQSubuFfMDXAY8lDH8KeBTo12uEdrW+4C3AM3ArHDcLKA5/PvrwHUZ06enq5QfYG74D/9G4AHASH5rryp3fwMPAZeFf1eF09lob0OJ2zsJeCm33BHfx3OAVqA+3G8PAG+L6n4GmoBNQ923wHXA1zPGZ01Xyk9Ftdw5/Y+S0haOi5TwUPQSYB0ww933AIS/U88UjMJ78VXgz4AgHJ4KdLl7XzicuU3p7Q1fPxxOX0kWAB3At8OuqG+YWS0R3sfuvhv4X8AuYA/J/fYs0d7PmUrdt2Xb55UW7vmepxepaznNbAJwD/Bxdz8y2KR5xlXMe2Fmbwf2u/uzmaPzTOpFvFYpqoAVwD+7+yXAMU4fpudT8dscdilcDcwHZgO1JLskckVpPxdjoO0s2/ZXWri3AY0Zw3OB9lEqS9mZ2RiSwf49d783HL3PzGaFr88C9ofjK/29uBy4ysx2AneR7Jr5KlBnZqnHP2ZuU3p7w9cnA4fOZIHLoA1oc/d14fAPSYZ9VPcxwJuBl9y9w917gXuB1xDt/Zyp1H1btn1eaeH+DLAoPNNeTfLEzP2jXKayMDMDvglsdfcvZ7x0P5A6Y34Dyb741Pjrw7PulwKHU4d/lcDdP+Xuc929ieR+fNTd3wc8BlwTTpa7van34Zpw+opq0bn7XqDVzBaHo94EbCGi+zi0C7jUzMaH/+OpbY7sfs5R6r59CHirmU0Jj3reGo4r3WifgBjCCYsrgReB7cCto12eMm7Xa0kefj0PbAx/riTZ3/gIsC38XR9ObySvHNoO/Jrk1Qijvh1D3PY1wAPh3wuAXwItwL8DNeH4seFwS/j6gtEu9xC3dTmwPtzPPwKmRH0fA38FvABsAu4EaqK4n4Hvkzyv0EuyBX7jUPYt8Pvh9rcAHxhqeXT7ARGRCKq0bhkRESmCwl1EJIIU7iIiEaRwFxGJIIW7iEgEKdxFRCJI4S4iEkH/HxHrQiUpRVkgAAAAAElFTkSuQmCC\n", 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\n", 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" 2282 | ] 2283 | }, 2284 | "metadata": { 2285 | "needs_background": "light" 2286 | }, 2287 | "output_type": "display_data" 2288 | } 2289 | ], 2290 | "source": [ 2291 | "influence_theta(0.5)" 2292 | ] 2293 | }, 2294 | { 2295 | "cell_type": "code", 2296 | "execution_count": null, 2297 | "metadata": {}, 2298 | "outputs": [], 2299 | "source": [] 2300 | }, 2301 | { 2302 | "cell_type": "code", 2303 | "execution_count": null, 2304 | "metadata": {}, 2305 | "outputs": [], 2306 | "source": [] 2307 | } 2308 | ], 2309 | "metadata": { 2310 | "kernelspec": { 2311 | "display_name": "Python 3", 2312 | "language": "python", 2313 | "name": "python3" 2314 | }, 2315 | "language_info": { 2316 | "codemirror_mode": { 2317 | "name": "ipython", 2318 | "version": 3 2319 | }, 2320 | "file_extension": ".py", 2321 | "mimetype": "text/x-python", 2322 | "name": "python", 2323 | "nbconvert_exporter": "python", 2324 | "pygments_lexer": "ipython3", 2325 | "version": "3.7.3" 2326 | } 2327 | }, 2328 | "nbformat": 4, 2329 | "nbformat_minor": 2 2330 | } 2331 | --------------------------------------------------------------------------------