Research Article
The Weibull Generalized Exponential Distribution with Censored Sample: Estimation and Application on Real Data
Table 2
The length of the different intervals of the WGED parameters based on ATIIPCS with various random removal of removing items, in case-2.
| | P | (n, m) | | MLE | MPS | Bayesian | ACI | BT | BP | ACI | BT | BP | CCI | BT | BP |
| 0.25 | (50, 30) | | 2.8215 | 0.1226 | 0.1379 | 1.5409 | 0.0698 | 0.0678 | 1.5324 | 0.0663 | 0.0696 | | 2.6097 | 0.1112 | 0.1318 | 1.3167 | 0.0602 | 0.0602 | 1.5651 | 0.0588 | 0.0588 | | 1.6916 | 0.0711 | 0.0735 | 1.5437 | 0.0631 | 0.0712 | 1.5893 | 0.0705 | 0.0680 | (50, 45) | | 1.4167 | 0.1159 | 0.1250 | 1.7756 | 0.1457 | 0.1508 | 1.3004 | 0.1481 | 0.1512 | | 0.9602 | 0.0860 | 0.0785 | 1.0800 | 0.0906 | 0.0877 | 0.9251 | 0.0945 | 0.0976 | | 1.0417 | 0.0892 | 0.0843 | 1.0036 | 0.0800 | 0.0840 | 1.0116 | 0.0835 | 0.0840 |
| 0.5 | (50, 30) | | 1.6983 | 0.0896 | 0.0875 | 1.7943 | 0.0881 | 0.0837 | 1.2839 | 0.0921 | 0.0836 | | 1.1643 | 0.0553 | 0.0584 | 1.3444 | 0.0687 | 0.0671 | 0.9898 | 0.0688 | 0.0630 | | 1.4032 | 0.0698 | 0.0697 | 1.3988 | 0.0704 | 0.0692 | 1.3573 | 0.0674 | 0.0642 | (50, 45) | | 1.4527 | 0.0721 | 0.0744 | 1.3228 | 0.0666 | 0.0653 | 1.1848 | 0.0651 | 0.0644 | | 1.6195 | 0.0799 | 0.0985 | 0.9865 | 0.0493 | 0.0489 | 1.0898 | 0.0505 | 0.0507 | | 1.2685 | 0.0635 | 0.0642 | 1.1417 | 0.0536 | 0.0549 | 1.1424 | 0.0568 | 0.0565 |
| 0.75 | (50, 30) | | 1.5826 | 0.0603 | 0.0624 | 1.6656 | 0.0586 | 0.0633 | 1.3443 | 0.0619 | 0.0625 | | 1.1616 | 0.0444 | 0.0447 | 1.4141 | 0.0520 | 0.0541 | 1.0675 | 0.0517 | 0.0548 | | 1.4538 | 0.0540 | 0.0552 | 1.4689 | 0.0561 | 0.0571 | 1.4140 | 0.0540 | 0.0565 | (50, 45) | | 1.8404 | 0.0827 | 0.0873 | 1.4767 | 0.0653 | 0.0662 | 1.2576 | 0.0677 | 0.0668 | | 1.9936 | 0.0852 | 0.1015 | 1.1505 | 0.0467 | 0.0528 | 1.3852 | 0.0531 | 0.0524 | | 1.1563 | 0.0517 | 0.0501 | 1.0515 | 0.0481 | 0.0482 | 1.0972 | 0.0475 | 0.0496 |
| 0.25 | (150, 90) | | 3.4917 | 0.1996 | 0.1972 | 2.0333 | 0.1130 | 0.1154 | 1.4602 | 0.1115 | 0.1126 | | 3.0419 | 0.1640 | 0.1818 | 1.2409 | 0.0715 | 0.0645 | 1.7235 | 0.0683 | 0.0679 | | 1.1229 | 0.0584 | 0.0649 | 0.8407 | 0.0458 | 0.0443 | 0.9857 | 0.0452 | 0.0465 | (150, 130) | | 3.4100 | 0.2276 | 0.3452 | 1.1130 | 0.0823 | 0.0866 | 1.1313 | 0.0849 | 0.0826 | | 2.9281 | 0.2013 | 0.3400 | 0.7831 | 0.0562 | 0.0590 | 1.4864 | 0.0579 | 0.0569 | | 1.0169 | 0.0798 | 0.0865 | 0.6260 | 0.0465 | 0.0477 | 0.8743 | 0.0469 | 0.0494 |
| 0.5 | (150, 90) | | 3.0771 | 0.2313 | 0.2694 | 1.6110 | 0.1245 | 0.1253 | 1.3156 | 0.1271 | 0.1248 | | 2.1543 | 0.1644 | 0.2014 | 1.1711 | 0.0838 | 0.0867 | 1.1085 | 0.0873 | 0.0934 | | 1.2831 | 0.0975 | 0.1007 | 1.0304 | 0.0785 | 0.0838 | 1.0378 | 0.0803 | 0.0789 | (150, 130) | | 2.8276 | 0.2045 | 0.2572 | 1.2477 | 0.0784 | 0.0727 | 1.8901 | 0.0782 | 0.0708 | | 3.0523 | 0.1741 | 0.2241 | 0.9132 | 0.0570 | 0.0548 | 1.1321 | 0.0540 | 0.0575 | | 1.0939 | 0.0669 | 0.0682 | 0.6853 | 0.0407 | 0.0408 | 0.7206 | 0.0401 | 0.0413 |
| 0.75 | (150, 90) | | 3.3820 | 0.2318 | 0.2783 | 1.6746 | 0.1197 | 0.1175 | 1.2440 | 0.1136 | 0.1178 | | 3.9865 | 0.2525 | 0.3649 | 1.4019 | 0.0999 | 0.0967 | 1.6823 | 0.0977 | 0.1047 | | 1.2103 | 0.0783 | 0.0873 | 1.0119 | 0.0738 | 0.0681 | 1.0804 | 0.0707 | 0.0717 | (150, 130) | | 0.8889 | 0.0782 | 0.0832 | 1.1486 | 0.1104 | 0.1037 | 0.8854 | 0.1011 | 0.0986 | | 0.7358 | 0.0675 | 0.0690 | 0.8441 | 0.0698 | 0.0746 | 0.8303 | 0.0758 | 0.0712 | | 0.7044 | 0.0631 | 0.0642 | 0.6814 | 0.0603 | 0.0616 | 0.7032 | 0.0634 | 0.0588 |
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