Research Article
Comparison of Five Methods to Estimate the Parameters for the Three-Parameter Lindley Distribution with Application to Life Data
Table 3
Simulated MSE and MAE values for
.
| | | Methods | MLE | OLS | WLS | MPS | CVM |
| | | MSE | 0.03218 | 0.01026 | 0.00936 | 0.00842 | 0.00975 | | MAE | 0.11189 | 0.08125 | 0.07848 | 0.07889 | 0.07239 | | MSE | 43.48015 | 9.94038 | 8.18130 | 7.77936 | 25.34155 | | MAE | 9.43405 | 2.61525 | 2.44286 | 2.47058 | 2.47723 | | MSE | 10.72974 | 2.49457 | 2.05992 | 1.97869 | 6.29526 | | MAE | 4.68650 | 1.31081 | 1.22573 | 1.24508 | 1.24026 | | | 30 | 22 | 10 | 11 | 17 |
| | | MSE | 0.01052 | 0.00310 | 0.00244 | 0.00310 | 0.00290 | | MAE | 0.05887 | 0.04436 | 0.03963 | 0.04428 | 0.04269 | | MSE | 36.36728 | 4.71702 | 3.42387 | 3.61839 | 5.22673 | | MAE | 2.87324 | 1.73845 | 1.49404 | 1.52942 | 1.75141 | | MSE | 9.04372 | 1.18165 | 0.85840 | 0.91062 | 1.30726 | | MAE | 1.43513 | 0.87019 | 0.74798 | 0.76688 | 0.87624 | | | 30 | 19.5 | 6 | 14.5 | 20 |
| | | MSE | 0.00245 | 0.00118 | 0.00096 | 0.00116 | 0.00114 | | MAE | 0.02915 | 0.02737 | 0.02470 | 0.02668 | 0.02674 | | MSE | 9.28063 | 2.42122 | 1.72204 | 1.66567 | 2.58512 | | MAE | 1.41097 | 1.21784 | 1.04733 | 0.99332 | 1.22350 | | MSE | 2.30848 | 0.60595 | 0.43126 | 0.41808 | 0.64633 | | MAE | 0.70512 | 0.60931 | 0.52404 | 0.49746 | 0.61194 | | | 30 | 20 | 10 | 9 | 21 |
| | | MSE | 0.00245 | 0.00118 | 0.00096 | 0.00116 | 0.00114 | | MAE | 0.02915 | 0.02737 | 0.02470 | 0.02668 | 0.02674 | | MSE | 9.28063 | 2.42122 | 1.72204 | 1.66567 | 2.58512 | | MAE | 1.41097 | 1.21784 | 1.04733 | 0.99332 | 1.22350 | | MSE | 2.30848 | 0.60595 | 0.43126 | 0.41808 | 0.64633 | | MAE | 0.70512 | 0.60931 | 0.52404 | 0.49746 | 0.61194 | | | 30 | 20 | 10 | 9 | 21 |
| | | MSE | 0.00039 | 0.00053 | 0.00042 | 0.00038 | 0.00054 | | MAE | 0.01570 | 0.01836 | 0.01654 | 0.01553 | 0.01860 | | MSE | 0.64435 | 0.93673 | 0.68549 | 0.57175 | 0.97507 | | MAE | 0.61355 | 0.76963 | 0.66373 | 0.57905 | 0.78293 | | MSE | 0.16115 | 0.23441 | 0.17157 | 0.14333 | 0.24391 | | MAE | 0.30685 | 0.38495 | 0.33199 | 0.28980 | 0.39155 | | | 12 | 24 | 18 | 6 | 30 |
| | | MSE | 0.00021 | 0.00030 | 0.00024 | 0.00022 | 0.00030 | | MAE | 0.01153 | 0.01358 | 0.01211 | 0.01178 | 0.01358 | | MSE | 0.34852 | 0.57886 | 0.40969 | 0.32996 | 0.58881 | | MAE | 0.46014 | 0.59850 | 0.51026 | 0.45677 | 0.60467 | | MSE | 0.08713 | 0.14483 | 0.10250 | 0.08265 | 0.14728 | | MAE | 0.23008 | 0.29933 | 0.25519 | 0.22853 | 0.30239 | | | 10 | 25 | 18 | 8 | 29 |
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