Research Article
Properties and Applications of the Modified Kies–Lomax Distribution with Estimation Methods
Table 7
Partial and overall ranks of the estimation methods for various values of a, λ, and β.
| | Parameters | n | MLE | ADE | CVME | MPSE | LSE | WLSE |
| | 20 | 4 | 2 | 5 | 1 | 6 | 3 | | 70 | 2 | 1 | 6 | 3 | 4 | 5 | | 150 | 4 | 2 | 6 | 1 | 5 | 3 | | 250 | 1 | 4 | 6 | 2 | 5 | 3 | | 400 | 1 | 3 | 6 | 2 | 5 | 4 |
| | 20 | 4 | 5 | 2 | 1 | 3 | 6 | | 70 | 2 | 3 | 6 | 1 | 4 | 5 | | 150 | 3 | 2 | 4 | 1 | 6 | 5 | | 250 | 2 | 5 | 6 | 1 | 4 | 3 | | 400 | 4 | 6 | 2 | 1 | 3 | 5 |
| | 20 | 1 | 2 | 6 | 4 | 5 | 3 | | 70 | 2 | 6 | 4 | 1 | 5 | 3 | | 150 | 4 | 1 | 5 | 2 | 6 | 3 | | 250 | 2 | 4 | 6 | 1 | 3 | 5 | | 400 | 1 | 5 | 6 | 2 | 4 | 3 |
| | 20 | 3 | 6 | 4.5 | 1 | 2 | 4.5 | | 70 | 3.5 | 5.5 | 5.5 | 1 | 3.5 | 2 | | 150 | 3 | 1.5 | 6 | 1.5 | 4 | 5 | | 250 | 2 | 4 | 3 | 1 | 6 | 5 | | 400 | 2 | 3 | 4 | 1 | 5 | 6 |
| | 20 | 4 | 5.5 | 2 | 1 | 3 | 5.5 | | 70 | 5 | 3.5 | 2 | 1 | 3.5 | 6 | | 150 | 3 | 6 | 4 | 1 | 2 | 5 | | 250 | 2 | 3.5 | 3.5 | 1 | 5 | 6 | | 400 | 2.5 | 6 | 2.5 | 1 | 5 | 4 |
| | 20 | 2 | 5 | 3 | 1 | 6 | 4 | | 70 | 4 | 5.5 | 2 | 1 | 3 | 5.5 | | 150 | 3 | 6 | 2 | 1 | 4 | 5 | | 250 | 5 | 3 | 6 | 1 | 4 | 2 | | 400 | 2 | 6 | 5 | 1 | 3 | 4 | | | 83 | 121 | 131 | 39.5 | 127 | 128.5 | | Overall rank | | 2 | 3 | 6 | 1 | 4 | 5 |
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