S=(x1-x2)*(y1+y2)/2
| AUC | Results | |
|---|---|---|
| x | y | 0.301247313 |
| 0 | 0.050909156 | 0.000527479 |
| 0.005714286 | 0.133708541 | 0.000861692 |
| 0.011428571 | 0.167883498 | 0.001121528 |
| 0.017142857 | 0.224651441 | 0.001427507 |
| 0.022857143 | 0.274975866 | 0.001733008 |
| 0.028571429 | 0.331576994 | 0.002039471 |
| 0.034285714 | 0.382237874 | 0.002323183 |
| 0.04 | 0.430876139 | 0.00257604 |
| 0.045714286 | 0.470737848 | 0.002783683 |
| 0.051428571 | 0.503551218 | 0.002951384 |
| 0.057142857 | 0.529433164 | 0.003085381 |
| 0.062857143 | 0.550450312 | 0.003197603 |
| 0.068571429 | 0.568710701 | 0.003300071 |
| 0.074285714 | 0.586314156 | 0.003404126 |
| 0.08 | 0.605129806 | 0.003519473 |
| 0.085714286 | 0.626685579 | 0.003645756 |
| 0.091428571 | 0.649329139 | 0.003772142 |
| 0.097142857 | 0.670920643 | 0.003887367 |
| 0.102857143 | 0.689657717 | 0.003977317 |
| 0.108571429 | 0.702403333 | 0.004032228 |
| 0.114285714 | 0.708876615 | 0.004051971 |
| 0.12 | 0.70931316 | 0.004037785 |
| 0.125714286 | 0.703911447 | 0.003994594 |
| 0.131428571 | 0.694196382 | 0.00393084 |
| 0.137142857 | 0.681597737 | 0.003859637 |
| 0.142857143 | 0.669275225 | 0.003792962 |
| 0.148571429 | 0.658261414 | 0.003732742 |
| 0.154285714 | 0.648198118 | 0.003677912 |
| 0.16 | 0.639071177 | 0.00362875 |
| 0.165714286 | 0.630991154 | 0.003582917 |
| 0.171428571 | 0.623029671 | 0.00353323 |
| 0.177142857 | 0.613600722 | 0.003473278 |
| 0.182857143 | 0.602046715 | 0.003398589 |
| 0.188571429 | 0.587459299 | 0.003306915 |
| 0.194285714 | 0.56996105 | 0.00319858 |
| 0.2 | 0.549541947 | 0.003077888 |
| 0.205714286 | 0.527718932 | 0.002953427 |
| 0.211428571 | 0.505980525 | 0.00283004 |
| 0.217142857 | 0.484533556 | 0.002716747 |
| 0.222857143 | 0.466327767 | 0.002628388 |
| 0.228571429 | 0.453607989 | 0.002574529 |
| 0.234285714 | 0.447477098 | 0.002561633 |
| 0.24 | 0.449094625 | 0.002594555 |
| 0.245714286 | 0.458999761 | 0.002671083 |
| 0.251428571 | 0.475879388 | 0.002783438 |
| 0.257142857 | 0.498323983 | 0.002921663 |
| 0.262857143 | 0.524258078 | 0.003072989 |
| 0.268571429 | 0.551287901 | 0.003223902 |
| 0.274285714 | 0.57707769 | 0.003359504 |
| 0.28 | 0.598748539 | 0.003464091 |
| 0.285714286 | 0.613683429 | 0.003522839 |
| 0.291428571 | 0.619310159 | 0.003524644 |
| 0.297142857 | 0.614315226 | 0.003463614 |
| 0.302857143 | 0.597949569 | 0.00333971 |
| 0.308571429 | 0.570948929 | 0.003165808 |
| 0.314285714 | 0.537083815 | 0.002960203 |
| 0.32 | 0.498987162 | 0.002737397 |
| 0.325714286 | 0.459101704 | 0.002511589 |
| 0.331428571 | 0.419954463 | 0.002296689 |
| 0.337142857 | 0.383886708 | 0.002101252 |
| 0.342857143 | 0.351551447 | 0.001930947 |
| 0.348571429 | 0.32427999 | 0.001790306 |
| 0.354285714 | 0.302327261 | 0.00167924 |
| 0.36 | 0.285406739 | 0.00159685 |
| 0.365714286 | 0.273490593 | 0.001542473 |
| 0.371428571 | 0.266374946 | 0.001514192 |
| 0.377142857 | 0.263592264 | 0.001506715 |
| 0.382857143 | 0.263757814 | 0.001511479 |
| 0.388571429 | 0.265259775 | 0.001521257 |
| 0.394285714 | 0.267180103 | 0.001530461 |
| 0.4 | 0.268481371 | 0.001534712 |
| 0.405714286 | 0.268667899 | 0.001535714 |
| 0.411428571 | 0.268831873 | 0.001538796 |
| 0.417142857 | 0.269746823 | 0.001548668 |
| 0.422857143 | 0.272286811 | 0.001569817 |
| 0.428571429 | 0.277149009 | 0.001603428 |
| 0.434285714 | 0.284050892 | 0.001645665 |
| 0.44 | 0.29193173 | 0.001690717 |
| 0.445714286 | 0.299819315 | 0.001731022 |
| 0.451428571 | 0.306038408 | 0.001757107 |
| 0.457142857 | 0.308949142 | 0.001761125 |
| 0.462857143 | 0.307444617 | 0.001739109 |
| 0.468571429 | 0.301243428 | 0.00169135 |
| 0.474285714 | 0.290729174 | 0.001622439 |
| 0.48 | 0.27712445 | 0.001541289 |
| 0.485714286 | 0.262326666 | 0.001456721 |
| 0.491428571 | 0.24752567 | 0.001374288 |
| 0.497142857 | 0.233475012 | 0.001300846 |
| 0.502857143 | 0.221821024 | 0.001241927 |
| 0.508571429 | 0.212853585 | 0.001199487 |
| 0.514285714 | 0.206966863 | 0.001176172 |
| 0.52 | 0.204693424 | 0.001171262 |
| 0.525714286 | 0.205248264 | 0.001179423 |
| 0.531428571 | 0.2075498 | 0.001193907 |
| 0.537142857 | 0.210317482 | 0.001207156 |
| 0.542857143 | 0.212187264 | 0.001212408 |
| 0.548571429 | 0.212155502 | 0.001205889 |
| 0.554285714 | 0.209905546 | 0.00118648 |
| 0.56 | 0.205362507 | 0.001154574 |
| 0.565714286 | 0.19873848 | 0.001111895 |
| 0.571428571 | 0.190424886 | 0.001061194 |
| 0.577142857 | 0.180993156 | 0.001004538 |
| 0.582857143 | 0.170595057 | 0.000943826 |
| 0.588571429 | 0.159743941 | 0.000883304 |
| 0.594285714 | 0.14941262 | 0.000827727 |
| 0.6 | 0.140291898 | 0.000780027 |
| 0.605714286 | 0.132717466 | 0.000742088 |
| 0.611428571 | 0.127013349 | 0.000714631 |
| 0.617142857 | 0.123107466 | 0.000696556 |
| 0.622857143 | 0.120687213 | 0.000686166 |
| 0.628571429 | 0.119470802 | 0.000680861 |
| 0.634285714 | 0.118830402 | 0.000677468 |
| 0.64 | 0.118283539 | 0.000673678 |
| 0.645714286 | 0.117503627 | 0.000667795 |
| 0.651428571 | 0.116224747 | 0.000659055 |
| 0.657142857 | 0.114444533 | 0.000647734 |
| 0.662857143 | 0.112262275 | 0.000634487 |
| 0.668571429 | 0.109808009 | 0.000619805 |
| 0.674285714 | 0.107123582 | 0.000604263 |
| 0.68 | 0.104368346 | 0.000588079 |
| 0.685714286 | 0.101459196 | 0.000571514 |
| 0.691428571 | 0.098570826 | 0.000554872 |
| 0.697142857 | 0.095634412 | 0.000538232 |
| 0.702857143 | 0.092746831 | 0.000522706 |
| 0.708571429 | 0.090200416 | 0.000509977 |
| 0.714285714 | 0.088291398 | 0.000501877 |
| 0.72 | 0.08736549 | 0.000499313 |
| 0.725714286 | 0.08739399 | 0.000501903 |
| 0.731428571 | 0.08827191 | 0.000508779 |
| 0.737142857 | 0.089800568 | 0.000518215 |
| 0.742857143 | 0.091574796 | 0.000528229 |
| 0.748571429 | 0.093305435 | 0.00053712 |
| 0.754285714 | 0.094686561 | 0.000542846 |
| 0.76 | 0.095309482 | 0.000543692 |
| 0.765714286 | 0.094982708 | 0.000538946 |
| 0.771428571 | 0.093648426 | 0.000529116 |
| 0.777142857 | 0.091542244 | 0.000516947 |
| 0.782857143 | 0.08938935 | 0.000505764 |
| 0.788571429 | 0.087628042 | 0.00049793 |
| 0.794285714 | 0.086647429 | 0.000496121 |
| 0.8 | 0.086994979 | 0.000502477 |
| 0.805714286 | 0.088871828 | 0.000517744 |
| 0.811428571 | 0.092338492 | 0.000541209 |
| 0.817142857 | 0.097084579 | 0.000570703 |
| 0.822857143 | 0.10266137 | 0.000602289 |
| 0.828571429 | 0.108139787 | 0.00063082 |
| 0.834285714 | 0.112647359 | 0.000651627 |
| 0.84 | 0.115422174 | 0.000661345 |
| 0.845714286 | 0.116048456 | 0.000658982 |
| 0.851428571 | 0.114595318 | 0.000646301 |
| 0.857142857 | 0.111609905 | 0.000627409 |
| 0.862857143 | 0.107983404 | 0.000607568 |
| 0.868571429 | 0.104665458 | 0.000590678 |
| 0.874285714 | 0.102071951 | 0.000578539 |
| 0.88 | 0.100416684 | 0.000571846 |
| 0.885714286 | 0.09972955 | 0.000571488 |
| 0.891428571 | 0.100291117 | 0.000577012 |
| 0.897142857 | 0.101663171 | 0.00058611 |
| 0.902857143 | 0.103475182 | 0.000596902 |
| 0.908571429 | 0.105440453 | 0.000608211 |
| 0.914285714 | 0.107433472 | 0.000619481 |
| 0.92 | 0.109384928 | 0.000630374 |
| 0.925714286 | 0.11124599 | 0.00064102 |
| 0.931428571 | 0.113110948 | 0.000652289 |
| 0.937142857 | 0.115190048 | 0.000665248 |
| 0.942857143 | 0.117646863 | 0.000679655 |
| 0.948571429 | 0.120232443 | 0.000694021 |
| 0.954285714 | 0.122674807 | 0.000706453 |
| 0.96 | 0.124583844 | 0.000714271 |
| 0.965714286 | 0.125410933 | 0.000716418 |
| 0.971428571 | 0.125335351 | 0.000713837 |
| 0.977142857 | 0.124507492 | 0.000706774 |
| 0.982857143 | 0.12286344 | 0.000695812 |
| 0.988571429 | 0.120670783 | 0.000682914 |
| 0.994285714 | 0.118349234 | 0.000670558 |
| 1 | 0.116345979 | 0.000660236 |
| 1.005714286 | 0.114736627 | 0.000652234 |
| 1.011428571 | 0.113545151 | 0.000645701 |
| 1.017142857 | 0.112450107 | 0.00063879 |
| 1.022857143 | 0.111126301 | 0.000628963 |
| 1.028571429 | 0.109010842 | 0.000613444 |
| 1.034285714 | 0.105694575 | 0.000590826 |
| 1.04 | 0.101094419 | 0.000562058 |
| 1.045714286 | 0.095625937 | 0.000529276 |
| 1.051428571 | 0.089620617 | 0.000494907 |
| 1.057142857 | 0.083596791 | 0.00046182 |
| 1.062857143 | 0.078040173 | 0.000432262 |
| 1.068571429 | 0.073251383 | 0.000407897 |
| 1.074285714 | 0.069512704 | 0.00039035 |
| 1.08 | 0.067109969 | 0.00038005 |
| 1.085714286 | 0.065907373 | 0.000375928 |
| 1.091428571 | 0.065667325 | 0.000376599 |
| 1.097142857 | 0.066142429 | 0.000380525 |
| 1.102857143 | 0.067041218 | 0.000386342 |
| 1.108571429 | 0.068178651 | 0.000393354 |
| 1.114285714 | 0.069495139 | 0.0004005 |
| 1.12 | 0.070679762 | 0.000406571 |
| 1.125714286 | 0.071620196 | 0.000411099 |
| 1.131428571 | 0.072264609 | 0.00041428 |
| 1.137142857 | 0.072733308 | 0.000416638 |
| 1.142857143 | 0.073090013 | 0.000418865 |
| 1.148571429 | 0.073512649 | 0.00042145 |
| 1.154285714 | 0.073994712 | 0.000423854 |
| 1.16 | 0.074354173 | 0.000424985 |
| 1.165714286 | 0.074390484 | 0.000423216 |
| 1.171428571 | 0.073735232 | 0.000417069 |
| 1.177142857 | 0.072238903 | 0.000406297 |
| 1.182857143 | 0.069965107 | 0.000391226 |
| 1.188571429 | 0.066963866 | 0.00037261 |
| 1.194285714 | 0.063449803 | 0.000351704 |
| 1.2 | 0.059646699 | 0.00033033 |
| 1.205714286 | 0.05596883 | 0.000310094 |
| 1.211428571 | 0.052564068 | 0.000292617 |
| 1.217142857 | 0.049851722 | 0.00027968 |
| 1.222857143 | 0.048036306 | 0.000271814 |
| 1.228571429 | 0.047098714 | 0.000268404 |
| 1.234285714 | 0.046842833 | 0.000268096 |
| 1.24 | 0.04699093 | 0.000269319 |
| 1.245714286 | 0.047270699 | 0.000270286 |
| 1.251428571 | 0.047329506 | 0.00026955 |
| 1.257142857 | 0.047012834 | 0.000266263 |
| 1.262857143 | 0.046179221 | 0.000260141 |
| 1.268571429 | 0.044870015 | 0.00025181 |
| 1.274285714 | 0.043263606 | 0.000242261 |
| 1.28 | 0.041527805 | 0.000232489 |
| 1.285714286 | 0.039843253 | 0.000223566 |
| 1.291428571 | 0.038404852 | 0.000216562 |
| 1.297142857 | 0.037391719 | 0.000211886 |
| 1.302857143 | 0.036768465 | 0.000209625 |
| 1.308571429 | 0.036600451 | 0.000209934 |
| 1.314285714 | 0.036876532 | 0.000212512 |
| 1.32 | 0.037502651 | 0.000217018 |
| 1.325714286 | 0.038453487 | 0.000223388 |
| 1.331428571 | 0.039732361 | 0.000231531 |
| 1.337142857 | 0.041303623 | 0.000240823 |
| 1.342857143 | 0.04298434 | 0.000250204 |
| 1.348571429 | 0.044586903 | 0.000258336 |
| 1.354285714 | 0.045830531 | 0.000263864 |
| 1.36 | 0.046522035 | 0.000265993 |
| 1.365714286 | 0.046575548 | 0.000264191 |
| 1.371428571 | 0.045891215 | 0.000258524 |
| 1.377142857 | 0.044592356 | 0.000249904 |
| 1.382857143 | 0.042874126 | 0.000239209 |
| 1.388571429 | 0.040849076 | 0.000227474 |
| 1.394285714 | 0.038766864 | 0.000216109 |
| 1.4 | 0.036871159 | 0.000206173 |
| 1.405714286 | 0.035289256 | 0.000198483 |
| 1.411428571 | 0.034179641 | 0.000193714 |
| 1.417142857 | 0.033620128 | 0.000191749 |
| 1.422857143 | 0.033491998 | 0.0001918 |
| 1.428571429 | 0.033638094 | 0.000192822 |
| 1.434285714 | 0.033849596 | 0.000193805 |
| 1.44 | 0.033982271 | 0.000193983 |
| 1.445714286 | 0.033911738 | 0.000192716 |
| 1.451428571 | 0.033538746 | 0.000189627 |
| 1.457142857 | 0.032830532 | 0.000184871 |
| 1.462857143 | 0.031874202 | 0.000178891 |
| 1.468571429 | 0.030737807 | 0.000172241 |
| 1.474285714 | 0.029546688 | 0.000165469 |
| 1.48 | 0.028367291 | 0.000159401 |
| 1.485714286 | 0.027422989 | 0.000154752 |
| 1.491428571 | 0.026740112 | 0.000151715 |
| 1.497142857 | 0.026360188 | 0.000150555 |
| 1.502857143 | 0.026334223 | 0.000151049 |
| 1.508571429 | 0.026532838 | 0.000152687 |
| 1.514285714 | 0.02690744 | 0.000155219 |
| 1.52 | 0.027419096 | 0.000158337 |
| 1.525714286 | 0.02799888 | 0.000161592 |
| 1.531428571 | 0.028558423 | 0.000164522 |
| 1.537142857 | 0.029024435 | 0.000166602 |
| 1.542857143 | 0.029286411 | 0.000167252 |
| 1.548571429 | 0.029251904 | 0.00016634 |
| 1.554285714 | 0.028967132 | 0.000163856 |
| 1.56 | 0.028382329 | 0.000159996 |
| 1.565714286 | 0.027616311 | 0.000155594 |
| 1.571428571 | 0.026841537 | 0.000151513 |
| 1.577142857 | 0.026188067 | 0.000148345 |
| 1.582857143 | 0.025732751 | 0.000146407 |
| 1.588571429 | 0.025509753 | 0.000145701 |
| 1.594285714 | 0.025485657 | 0.000145787 |
| 1.6 | 0.025539717 | 0.00014615 |
| 1.605714286 | 0.02561272 | 0.000146222 |
| 1.611428571 | 0.025564929 | 0.000145417 |
| 1.617142857 | 0.02533114 | 0.000143518 |
| 1.622857143 | 0.02490022 | 0.000140613 |
| 1.628571429 | 0.024314342 | 0.000136966 |
| 1.634285714 | 0.023623676 | 0.000132895 |
| 1.64 | 0.022889669 | 0.000128742 |
| 1.645714286 | 0.022169975 | 0.000124516 |
| 1.651428571 | 0.021410786 | 0.000120177 |
| 1.657142857 | 0.020651323 | 0.000116109 |
| 1.662857143 | 0.019986973 | 0.000112493 |
| 1.668571429 | 0.019385469 | 0.000109504 |
| 1.674285714 | 0.018941003 | 0.000107831 |
| 1.68 | 0.018799688 | 0.000107962 |
| 1.685714286 | 0.018986877 | 0.000110088 |
| 1.691428571 | 0.019544017 | 0.00011435 |
| 1.697142857 | 0.02047844 | 0.000120626 |
| 1.702857143 | 0.021740762 | 0.000128569 |
| 1.708571429 | 0.0232583 | 0.000137584 |
| 1.714285714 | 0.024895974 | 0.000146841 |
| 1.72 | 0.026498453 | 0.000155663 |
| 1.725714286 | 0.027983734 | 0.000163564 |
| 1.731428571 | 0.029263602 | 0.000170131 |
| 1.737142857 | 0.030282181 | 0.000175337 |
| 1.742857143 | 0.031085681 | 0.000179653 |
| 1.748571429 | 0.031792754 | 0.00018368 |
| 1.754285714 | 0.032495297 | 0.00018781 |
| 1.76 | 0.033238059 | 0.000192148 |
| 1.765714286 | 0.034013792 | 0.000196601 |
| 1.771428571 | 0.034796489 | 0.000200637 |
| 1.777142857 | 0.035426426 | 0.000203672 |
| 1.782857143 | 0.035858646 | 0.000205407 |
| 1.788571429 | 0.036033742 | 0.000205416 |
| 1.794285714 | 0.03586176 | 0.000203336 |
| 1.8 | 0.035305773 | 0.000199073 |
| 1.805714286 | 0.034369818 | 0.000192743 |
| 1.811428571 | 0.033090407 | 0.000184551 |
| 1.817142857 | 0.031502485 | 0.000174903 |
| 1.822857143 | 0.029713411 | 0.000164545 |
| 1.828571429 | 0.027877468 | 0.000154443 |
| 1.834285714 | 0.026177754 | 0.000145578 |
| 1.84 | 0.024774486 | 0.00013863 |
| 1.845714286 | 0.023746145 | 0.000134008 |
| 1.851428571 | 0.02315678 | 0.000131776 |
| 1.857142857 | 0.022964679 | 0.000131698 |
| 1.862857143 | 0.023129483 | 0.000133341 |
| 1.868571429 | 0.023539947 | 0.00013595 |
| 1.874285714 | 0.024042528 | 0.000138656 |
| 1.88 | 0.024486909 | 0.00014079 |
| 1.885714286 | 0.024789586 | 0.000142043 |
| 1.891428571 | 0.0249255 | 0.000142357 |
| 1.897142857 | 0.024899333 | 0.000141874 |
| 1.902857143 | 0.024756616 | 0.000141017 |
| 1.908571429 | 0.024599251 | 0.00014048 |
| 1.914285714 | 0.02456861 | 0.000140884 |
| 1.92 | 0.024740695 | 0.000142393 |
| 1.925714286 | 0.025096717 | 0.000144863 |
| 1.931428571 | 0.025605257 | 0.00014771 |
| 1.937142857 | 0.026093411 | 0.00015009 |
| 1.942857143 | 0.026438129 | 0.000151646 |
| 1.948571429 | 0.026637972 | 0.000152164 |
| 1.954285714 | 0.026619398 | 0.000151656 |
| 1.96 | 0.026460341 | 0.000150764 |
| 1.965714286 | 0.026307036 | 0.00015033 |
| 1.971428571 | 0.026308568 | 0.000151083 |
| 1.977142857 | 0.026570344 | 0.000153289 |
| 1.982857143 | 0.027080941 | 0.000156685 |
| 1.988571429 | 0.027758775 | 0.000160514 |
| 1.994285714 | 0.028421157 | 0.000163793 |
| 2 | 0.028906369 | -0.028906369 |
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