Research Article
Selection of Efficient Parameter Estimation Method for Two-Parameter Weibull Distribution
Table 3
The MSE values for all methods and sample sizes used in simulations when Lā=ā1000.
| Model | N | MSE | Priority order of methods | Best | MLINEX | MOM | MLE | OLS | MLINEX | MOM | MLE | OLS |
| I | 10 | 0.0946 | 0.0572 | 0.0731 | 2.1645 | 3 | 1 | 2 | 4 | MOM | 50 | 0.0391 | 0.0338 | 0.0142 | 1.1245 | 3 | 2 | 1 | 4 | MLE | 1600 | 0.0324 | 0.0288 | 0.0074 | 0.9542 | 3 | 2 | 1 | 4 | MLE | 150 | 0.0294 | 0.0283 | 0.0046 | 0.8421 | 3 | 2 | 1 | 4 | MLE | II | 10 | 0.1341 | 0.0590 | 0.0802 | 2.2541 | 3 | 1 | 2 | 4 | MOM | 50 | 0.0410 | 0.0338 | 0.0146 | 1.1987 | 3 | 2 | 1 | 4 | MLE | 100 | 0.0741 | 0.0392 | 0.0282 | 0.8741 | 3 | 2 | 1 | 4 | MLE | 150 | 0.0311 | 0.0284 | 0.0056 | 0.0415 | 3 | 2 | 1 | 4 | MLE | III | 10 | 0.0949 | 0.0780 | 0.0889 | 2.0245 | 3 | 1 | 2 | 4 | MOM | 50 | 0.0401 | 0.0385 | 0.0193 | 1.7951 | 3 | 2 | 1 | 4 | MLE | 100 | 0.0326 | 0.0318 | 0.0099 | 1.6281 | 3 | 2 | 1 | 4 | MLE | 150 | 0.0315 | 0.0288 | 0.0069 | 0.0782 | 3 | 2 | 1 | 4 | MLE | IV | 10 | 0.2112 | 0.0744 | 0.1190 | 2.3547 | 3 | 1 | 2 | 4 | MOM | 50 | 0.0938 | 0.0372 | 0.0229 | 1.8416 | 3 | 2 | 1 | 4 | MLE | 100 | 0.0397 | 0.0324 | 0.0118 | 0.6874 | 3 | 2 | 1 | 4 | MLE | 150 | 0.0344 | 0.0291 | 0.0079 | 0.0746 | 3 | 2 | 1 | 4 | MLE |
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