Research Article
Inferences for Weibull Fréchet Distribution Using a Bayesian and Non-Bayesian Methods on Gastric Cancer Survival Times
Table 2
MSE of estimates for the parameter
.
| | Sc | MLE | Bootstrap | MCMC | MCMC | | Boot-p | Boot-t | BSE | BLINEX | BSE | BLINEX | | | | |
| | (30, 15) | I | 0.0817 | 0.0953 | 0.0794 | 0.0773 | 0.0699 | 0.0613 | 0.0641 | 0.0652 | 0.0618 | | II | 0.0858 | 0.0864 | 0.0815 | 0.0836 | 0.0787 | 0.0629 | 0.0671 | 0.0743 | 0.0703 | | III | 0.0832 | 0.0814 | 0.0804 | 0.0842 | 0.0764 | 0.0645 | 0.0677 | 0.0781 | 0.0742 |
| | (30, 25) | I | 0.0715 | 0.0919 | 0.0624 | 0.0579 | 0.0632 | 0.0508 | 0.0609 | 0.0733 | 0.5732 | | II | 0.0733 | 0.0971 | 0.0629 | 0.0592 | 0.0658 | 0.0513 | 0.0614 | 0.0751 | 0.0587 | | III | 0.0791 | 0.0957 | 0.0684 | 0.0588 | 0.0650 | 0.0521 | 0.0648 | 0.0769 | 0.0591 |
| | (50, 30) | I | 0.0552 | 0.0647 | 0.0431 | 0.0418 | 0.0482 | 0.0322 | 0.0425 | 0.0498 | 0.0398 | | II | 0.0597 | 0.0654 | 0.0458 | 0.0432 | 0.0487 | 0.0348 | 0.0449 | 0.0509 | 0.0410 | | III | 0.0606 | 0.0662 | 0.0465 | 0.0444 | 0.0497 | 0.0384 | 0.0461 | 0.0527 | 0.0413 |
| | (70, 40) | I | 0.0467 | 0.0614 | 0.0444 | 0.0356 | 0.0442 | 0.0314 | 0.0382 | 0.0492 | 0.0413 | | II | 0.0474 | 0.0619 | 0.0448 | 0.0383 | 0.0457 | 0.0327 | 0.0398 | 0.0515 | 0.0475 | | III | 0.0476 | 0.0632 | 0.0451 | 0.0386 | 0.0462 | 0.0356 | 0.0395 | 0.0467 | 0.0453 |
| | (80, 50) | I | 0.0292 | 0.0325 | 0.0244 | 0.0124 | 0.0259 | 0.0119 | 0.0216 | 0.0235 | 0.0132 | | II | 0.0293 | 0.0331 | 0.0232 | 0.0135 | 0.0261 | 0.0127 | 0.0222 | 0.0254 | 0.0132 | | III | 0.0281 | 0.0279 | 0.0211 | 0.0127 | 0.0263 | 0.0131 | 0.0228 | 0.0252 | 0.0132 |
| | (100, 75) | I | 0.0169 | 0.0214 | 0.0155 | 0.0098 | 0.0188 | 0.0097 | 0.0109 | 0.0125 | 0.0105 | | II | 0.0187 | 0.0229 | 0.0163 | 0.0129 | 0.0191 | 0.0098 | 0.0111 | 0.0140 | 0.0109 | | III | 0.0189 | 0.0287 | 0.0161 | 0.0113 | 0.0190 | 0.0098 | 0.0110 | 0.0139 | 0.0114 |
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