Research Article
The Weibull Generalized Exponential Distribution with Censored Sample: Estimation and Application on Real Data
Table 1
The length of the different intervals of the WGED parameters based on ATIIPCS with various random removal of removing items, in case-1.
| | P | (n, m) | | MLE | MPS | Bayesian | ACI | BT | BP | ACI | BT | BP | CCI | BT | BP |
| 0.25 | (50, 30) | | 5.0281 | 0.1518 | 0.2139 | 2.8130 | 0.0920 | 0.0876 | 2.3053 | 0.0932 | 0.0859 | | 1.8528 | 0.0591 | 0.0653 | 1.4089 | 0.0435 | 0.0463 | 0.9311 | 0.0461 | 0.0451 | | 1.6220 | 0.0536 | 0.0514 | 1.4535 | 0.0465 | 0.0460 | 1.5228 | 0.0462 | 0.0472 | (50, 45) | | 2.2339 | 0.0685 | 0.0695 | 2.7294 | 0.0838 | 0.0880 | 1.7615 | 0.0889 | 0.0865 | | 1.1134 | 0.0353 | 0.0371 | 1.3269 | 0.0433 | 0.0416 | 0.7910 | 0.0416 | 0.0430 | | 1.1839 | 0.0377 | 0.0379 | 1.1152 | 0.0366 | 0.0362 | 1.1347 | 0.0360 | 0.0365 |
| 0.5 | (50, 30) | | 2.6530 | 0.0840 | 0.0787 | 2.8534 | 0.0894 | 0.0958 | 2.0821 | 0.0860 | 0.0950 | | 1.1874 | 0.0383 | 0.0366 | 1.3609 | 0.0442 | 0.0454 | 0.9093 | 0.0430 | 0.0420 | | 1.6475 | 0.0527 | 0.0535 | 1.5203 | 0.0493 | 0.0464 | 1.5795 | 0.0483 | 0.0471 | (50, 45) | | 5.4329 | 0.1721 | 0.2769 | 2.9217 | 0.0933 | 0.0938 | 1.8254 | 0.0985 | 0.0877 | | 1.9696 | 0.0622 | 0.0708 | 1.4695 | 0.0456 | 0.0483 | 0.7633 | 0.0484 | 0.0488 | | 1.2258 | 0.0388 | 0.0379 | 1.1214 | 0.0353 | 0.0359 | 1.1382 | 0.0373 | 0.0331 |
| 0.75 | (50, 30) | | 3.8944 | 0.1229 | 0.1380 | 2.7236 | 0.0825 | 0.0884 | 2.2240 | 0.0887 | 0.0876 | | 1.5368 | 0.0479 | 0.0502 | 1.2724 | 0.0398 | 0.0403 | 0.9838 | 0.0415 | 0.0396 | | 1.6526 | 0.0534 | 0.0523 | 1.4974 | 0.0462 | 0.0474 | 1.5582 | 0.0484 | 0.0454 | (50, 45) | | 2.3122 | 0.0711 | 0.0703 | 2.6791 | 0.0879 | 0.0871 | 1.7218 | 0.0855 | 0.0846 | | 1.0808 | 0.0343 | 0.0336 | 1.2658 | 0.0422 | 0.0409 | 0.7405 | 0.0410 | 0.0421 | | 1.1806 | 0.0351 | 0.0365 | 1.1096 | 0.0352 | 0.0354 | 1.1346 | 0.0343 | 0.0364 |
| 0.25 | (150, 90) | | 4.5602 | 0.2127 | 0.2406 | 3.9598 | 0.1329 | 0.1204 | 2.4745 | 0.1243 | 0.1230 | | 1.9321 | 0.0568 | 0.0732 | 1.0677 | 0.0339 | 0.0363 | 0.6765 | 0.0356 | 0.0345 | | 0.8876 | 0.0278 | 0.0279 | 0.7957 | 0.0244 | 0.0270 | 0.8081 | 0.0244 | 0.0244 | (150, 130) | | 1.0331 | 0.0341 | 0.0341 | 1.3191 | 0.0425 | 0.0429 | 1.6192 | 0.0425 | 0.0405 | | 0.4880 | 0.0157 | 0.0158 | 0.6561 | 0.0213 | 0.0203 | 0.5414 | 0.0212 | 0.0216 | | 0.6758 | 0.0206 | 0.0216 | 0.6632 | 0.0224 | 0.0213 | 0.6589 | 0.0209 | 0.0217 |
| 0.5 | (150, 90) | | 3.8998 | 0.1207 | 0.1221 | 4.0729 | 0.1314 | 0.1266 | 2.1824 | 0.1237 | 0.1322 | | 1.0967 | 0.0353 | 0.0349 | 1.1471 | 0.0356 | 0.0351 | 0.6868 | 0.0368 | 0.0377 | | 0.8480 | 0.0272 | 0.0257 | 0.8184 | 0.0261 | 0.0254 | 0.8331 | 0.0257 | 0.0269 | (150, 130) | | 3.1909 | 0.1261 | 0.1141 | 1.2513 | 0.0414 | 0.0412 | 1.7332 | 0.0383 | 0.0400 | | 2.5951 | 0.0708 | 0.1221 | 0.6555 | 0.0212 | 0.0212 | 0.5664 | 0.0217 | 0.0210 | | 0.7472 | 0.0253 | 0.0240 | 0.6617 | 0.0214 | 0.0205 | 0.6627 | 0.0216 | 0.0213 |
| 0.75 | (150, 90) | | 4.7341 | 0.1543 | 0.1553 | 3.9317 | 0.1307 | 0.1306 | 2.3038 | 0.1210 | 0.1259 | | 2.0889 | 0.0688 | 0.0726 | 1.0134 | 0.0324 | 0.0330 | 0.9657 | 0.0334 | 0.0331 | | 0.9048 | 0.0293 | 0.0305 | 0.8221 | 0.0269 | 0.0266 | 0.8598 | 0.0255 | 0.0269 | (150, 130) | | 1.2868 | 0.0416 | 0.0388 | 1.6027 | 0.0485 | 0.0517 | 1.6520 | 0.0486 | 0.0521 | | 0.6521 | 0.0208 | 0.0209 | 0.8475 | 0.0269 | 0.0272 | 0.5677 | 0.0270 | 0.0284 | | 0.6765 | 0.0201 | 0.0213 | 0.6669 | 0.0212 | 0.0213 | 0.6599 | 0.0215 | 0.0211 |
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