Research Article
Comparison of Five Methods to Estimate the Parameters for the Three-Parameter Lindley Distribution with Application to Life Data
Table 5
Simulated MSE and MAE values for
.
| | | Methods | MLE | OLS | WLS | MPS | CVM |
| | | MSE | 0.46095 | 0.10901 | 0.10492 | 0.09316 | 0.20454 | | MAE | 0.40706 | 0.25315 | 0.25002 | 0.24814 | 0.32268 | | MSE | 7.30773 | 0.88762 | 0.75417 | 0.36515 | 1.97648 | | MAE | 1.28431 | 0.68135 | 0.65473 | 0.50256 | 1.02787 | | MSE | 24.59881 | 3.39581 | 2.90920 | 1.43334 | 7.55938 | | MAE | 2.35659 | 1.35906 | 1.30658 | 1.00570 | 2.04089 | | | 30 | 18 | 12 | 6 | 24 |
| | | MSE | 0.06690 | 0.04853 | 0.04496 | 0.04316 | 0.05869 | | MAE | 0.18291 | 0.17765 | 0.17162 | 0.17480 | 0.18997 | | MSE | 1.58905 | 0.46849 | 0.44001 | 0.28803 | 0.67987 | | MAE | 0.63403 | 0.53905 | 0.52523 | 0.44839 | 0.63214 | | MSE | 5.98867 | 1.82556 | 1.71402 | 1.12452 | 2.63263 | | MAE | 1.26566 | 1.07315 | 1.04227 | 0.89183 | 1.25457 | | | 29 | 18 | 11 | 7 | 25 |
| | | MSE | 0.02559 | 0.03494 | 0.03086 | 0.02900 | 0.03860 | | MAE | 0.13036 | 0.15528 | 0.14667 | 0.14479 | 0.15984 | | MSE | 0.33048 | 0.32315 | 0.31141 | 0.22678 | 0.40365 | | MAE | 0.44401 | 0.46366 | 0.45053 | 0.40967 | 0.50794 | | MSE | 1.30500 | 1.27351 | 1.20807 | 0.89143 | 1.58622 | | MAE | 0.88645 | 0.92364 | 0.89209 | 0.81442 | 1.01055 | | | 14 | 22 | 16 | 8 | 30 |
| | | MSE | 0.01956 | 0.02630 | 0.02362 | 0.02502 | 0.02632 | | MAE | 0.11415 | 0.13715 | 0.12847 | 0.13238 | 0.13510 | | MSE | 0.22090 | 0.22234 | 0.21826 | 0.18003 | 0.25653 | | MAE | 0.37883 | 0.39558 | 0.39210 | 0.36513 | 0.41496 | | MSE | 0.87142 | 0.87899 | 0.85417 | 0.70862 | 1.01140 | | MAE | 0.75581 | 0.78851 | 0.77820 | 0.72630 | 0.82649 | | | 12 | 25 | 14 | 10 | 29 |
| | | MSE | 0.01352 | 0.01917 | 0.01562 | 0.01717 | 0.01851 | | MAE | 0.09182 | 0.11387 | 0.10079 | 0.10565 | 0.11101 | | MSE | 0.13580 | 0.15468 | 0.14046 | 0.12917 | 0.16394 | | MAE | 0.28566 | 0.32341 | 0.29892 | 0.29498 | 0.32868 | | MSE | 0.538452 | 0.61391 | 0.55081 | 0.509801 | 0.65031 | | MAE | 0.57037 | 0.64527 | 0.59372 | 0.58739 | 0.65573 | | | 8 | 26 | 16 | 12 | 28 |
| | | MSE | 0.00853 | 0.012715 | 0.01014 | 0.01232 | 0.01221 | | MAE | 0.07247 | 0.08780 | 0.07840 | 0.08488 | 0.08678 | | MSE | 0.08640 | 0.10876 | 0.09533 | 0.09198 | 0.11249 | | MAE | 0.23346 | 0.26235 | 0.24618 | 0.24553 | 0.26498 | | MSE | 0.34281 | 0.43149 | 0.37524 | 0.36396 | 0.44615 | | MAE | 0.46586 | 0.52343 | 0.48985 | 0.48908 | 0.52865 | | | 6 | 25 | 16 | 15 | 28 |
|
|