New Statistical Approaches for Modeling the COVID-19 Data Set: A Case Study in the Medical Sector

<table class="table-group" id="tab1"><tr><td><table class="table"><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr class="thead"><td class="align_left">Distributions</td><td class="align_center"><span style="width: 7.51131ptpx;"><svg height="9.4556pt" id="M115" style="vertical-align:-0.2063894pt" version="1.1" viewbox="-0.0498162 -9.24921 7.51131 9.4556" width="7.51131pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,1.227,-.222)"><path d="M470 557C393 591 314 624 246 666H224C156 624 76 591 0 557L12 532C86 550 163 573 235 596C309 572 384 550 458 532L470 557Z"></path></g><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M545 106L524 126C493 85 467 65 455 65C438 65 427 113 405 238C448 295 498 362 543 439L533 448L478 435C453 386 423 331 398 295H395C370 404 347 448 282 448C169 448 23 309 23 153C23 54 65 -12 128 -12C203 -12 283 70 339 155H341C360 29 380 -12 411 -12C444 -12 491 11 545 106ZM333 204C265 95 210 54 169 54C137 54 113 96 113 171C113 302 191 405 252 405C301 405 318 306 333 204Z"></path></g></svg></span></td><td class="align_center"><span style="width: 8.63352ptpx;"><svg height="13.5007pt" id="M116" style="vertical-align:-3.4294pt" version="1.1" viewbox="-0.0498162 -10.0713 8.63352 13.5007" width="8.63352pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,2.049,-1.044)"><path d="M470 557C393 591 314 624 246 666H224C156 624 76 591 0 557L12 532C86 550 163 573 235 596C309 572 384 550 458 532L470 557Z"></path></g><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M642 419L635 448C586 435 552 411 532 392C518 379 509 351 496 304C484 260 462 196 445 150C424 93 388 40 314 30L413 508L406 510L344 491L257 36C205 46 175 84 175 169C175 195 180 241 185 277C189 304 190 331 190 358C190 413 175 448 141 448C111 448 69 429 23 373L30 347C51 365 68 375 81 375C93 375 108 368 108 327C108 307 104 268 101 239C98 211 95 180 95 155C95 33 159 -8 248 -14L213 -186C206 -220 221 -254 230 -261L261 -230L306 -11C339 -4 366 6 389 20C431 46 473 87 503 155C533 224 557 286 571 325C586 367 606 393 642 419Z"></path></g></svg></span></td><td class="align_center"><span style="width: 7.68094ptpx;"><svg height="16.0061pt" id="M117" style="vertical-align:-3.4295pt" version="1.1" viewbox="-0.0498162 -12.5766 7.68094 16.0061" width="7.68094pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,2.355,-3.549)"><path d="M470 557C393 591 314 624 246 666H224C156 624 76 591 0 557L12 532C86 550 163 573 235 596C309 572 384 550 458 532L470 557Z"></path></g><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M558 587C558 666 497 712 432 712C379 712 330 691 284 650C212 586 178 508 148 348L71 -65C49 -185 35 -229 23 -235L27 -261C49 -259 101 -251 124 -224C131 -216 138 -178 159 -24C171 66 197 200 227 356C264 550 295 668 393 668C443 668 479 632 479 575C479 516 446 458 383 418C361 404 344 398 318 397L296 350C395 338 460 281 460 192C460 110 411 40 300 40C258 40 215 55 192 69L181 51C191 18 222 -16 266 -16C308 -16 351 1 397 26C471 67 545 142 545 221C545 315 486 365 401 395C469 437 558 498 558 587Z"></path></g></svg></span></td><td class="align_center"><span style="width: 6.59789ptpx;"><svg height="12.783pt" id="M118" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -12.5766 6.59789 12.783" width="6.59789pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,1.031,-3.549)"><path d="M470 557C393 591 314 624 246 666H224C156 624 76 591 0 557L12 532C86 550 163 573 235 596C309 572 384 550 458 532L470 557Z"></path></g><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M475 507C475 612 440 712 326 712C139 712 23 420 23 215C23 96 58 -12 180 -12C369 -12 475 293 475 507ZM391 522C391 486 387 448 379 394H126C155 538 222 677 310 677C386 677 391 571 391 522ZM373 346C344 193 283 22 189 22C126 22 106 114 106 196C106 243 111 293 118 346H373Z"></path></g></svg></span></td><td class="align_center"><span style="width: 12.1315ptpx;"><svg height="12.4307pt" id="M119" style="vertical-align:-3.18149pt" version="1.1" viewbox="-0.0498162 -9.24921 12.1315 12.4307" width="12.1315pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,1.227,-.222)"><path d="M470 557C393 591 314 624 246 666H224C156 624 76 591 0 557L12 532C86 550 163 573 235 596C309 572 384 550 458 532L470 557Z"></path></g><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M545 106L524 126C493 85 467 65 455 65C438 65 427 113 405 238C448 295 498 362 543 439L533 448L478 435C453 386 423 331 398 295H395C370 404 347 448 282 448C169 448 23 309 23 153C23 54 65 -12 128 -12C203 -12 283 70 339 155H341C360 29 380 -12 411 -12C444 -12 491 11 545 106ZM333 204C265 95 210 54 169 54C137 54 113 96 113 171C113 302 191 405 252 405C301 405 318 306 333 204Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.059,3.132)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z"></path></g></svg></span></td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td class="align_left">LT-IW</td><td class="align_center">1.829195</td><td class="align_center">8.721454</td><td class="align_center">—</td><td class="align_center">—</td><td class="align_center">—</td></tr><tr><td class="align_left">FRL-IW</td><td class="align_center">2.291612</td><td class="align_center">8.003594</td><td class="align_center">11.582096</td><td class="align_center">—</td><td class="align_center">—</td></tr><tr><td class="align_left">WTX-IW</td><td class="align_center">1.339224</td><td class="align_center">9.164487</td><td class="align_center">—</td><td class="align_center">—</td><td class="align_center">—</td></tr><tr><td class="align_left">NG-IW</td><td class="align_center">0.705908</td><td class="align_center">8.586715</td><td class="align_center">—</td><td class="align_center">9.655237</td><td class="align_center">—</td></tr><tr><td class="align_left">APTE-IW</td><td class="align_center">0.633391</td><td class="align_center">8.119927</td><td class="align_center">—</td><td class="align_center">—</td><td class="align_center">12.65028</td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>The values of the maximum likelihood estimators of the fitted models using the COVID-19 data set.</div>

Complexity

tab1

Table 1

Table 1: New Statistical Approaches for Modeling the COVID-19 Data Set: A Case Study in the Medical Sector 