Research Article
A Flexible Extension of Reduced Kies Distribution: Properties, Inference, and Applications in Biology
Table 6
Partial and overall ranks of all the methods of estimation of proposed distribution by various values of model parameters.
| | Parameter | | MLE | ADE | CVME | MPSE | LSE | PCE | RTADE | WLSE |
| | 25 | 2.0 | 4.0 | 8.0 | 1.0 | 6.5 | 6.5 | 3.0 | 5.0 | | 50 | 4.0 | 3.0 | 8.0 | 1.0 | 6.0 | 7.0 | 2.0 | 5.0 | | 75 | 4.0 | 2.0 | 7.0 | 1.0 | 8.0 | 6.0 | 3.0 | 5.0 | | 100 | 4.0 | 2.0 | 6.0 | 1.0 | 7.5 | 7.5 | 3.0 | 5.0 | | 125 | 4.0 | 2.0 | 7.5 | 1.0 | 6.0 | 7.5 | 3.0 | 5.0 | | 150 | 3.0 | 2.0 | 7.0 | 1.0 | 6.0 | 8.0 | 4.0 | 5.0 |
| | 25 | 3.0 | 2.0 | 8.0 | 1.0 | 6.5 | 4.0 | 5.0 | 6.5 | | 50 | 2.0 | 3.0 | 8.0 | 1.0 | 7.0 | 4.0 | 6.0 | 5.0 | | 75 | 2.0 | 3.0 | 8.0 | 1.0 | 7.0 | 6.0 | 5.0 | 4.0 | | 100 | 2.0 | 3.0 | 7.0 | 1.0 | 8.0 | 6.0 | 4.0 | 5.0 | | 125 | 2.0 | 3.0 | 8.0 | 1.0 | 7.0 | 6.0 | 4.0 | 5.0 | | 150 | 2.0 | 3.0 | 8.0 | 1.0 | 7.0 | 4.0 | 6.0 | 5.0 |
| | 25 | 3.0 | 4.0 | 8.0 | 1.0 | 7.0 | 2.0 | 5.0 | 6.0 | | 50 | 2.0 | 5.0 | 8.0 | 1.0 | 7.0 | 3.0 | 4.0 | 6.0 | | 75 | 2.0 | 5.0 | 8.0 | 1.0 | 7.0 | 3.0 | 4.0 | 6.0 | | 100 | 2.0 | 5.0 | 7.0 | 1.0 | 8.0 | 3.0 | 6.0 | 4.0 | | 125 | 1.0 | 3.5 | 8.0 | 2.0 | 7.0 | 5.5 | 3.5 | 5.5 | | 150 | 1.0 | 5.0 | 8.0 | 2.0 | 7.0 | 3.5 | 3.5 | 6.0 |
| | 25 | 4.0 | 3.0 | 8.0 | 1.0 | 6.0 | 2.0 | 7.0 | 5.0 | | 50 | 2.0 | 4.0 | 8.0 | 1.0 | 6.5 | 3.0 | 6.5 | 5.0 | | 75 | 2.5 | 4.0 | 7.0 | 1.0 | 8.0 | 2.5 | 6.0 | 5.0 | | 100 | 2.0 | 3.5 | 8.0 | 1.0 | 7.0 | 3.5 | 6.0 | 5.0 | | 125 | 2.0 | 5.0 | 7.5 | 1.0 | 7.5 | 3.0 | 6.0 | 4.0 | | 150 | 2.5 | 4.0 | 7.5 | 1.0 | 7.5 | 2.5 | 6.0 | 5.0 |
| | 25 | 4.0 | 3.0 | 8.0 | 2.0 | 5.0 | 1.0 | 7.0 | 6.0 | | 50 | 2.0 | 4.0 | 7.0 | 3.0 | 7.0 | 1.0 | 7.0 | 5.0 | | 75 | 3.0 | 4.0 | 7.0 | 2.0 | 7.0 | 1.0 | 7.0 | 5.0 | | 100 | 3.5 | 5.0 | 8.0 | 1.0 | 6.0 | 2.0 | 7.0 | 3.5 | | 125 | 1.0 | 4.0 | 8.0 | 3.0 | 6.0 | 2.0 | 7.0 | 5.0 | | 150 | 2.0 | 5.0 | 8.0 | 1.0 | 6.0 | 3.0 | 7.0 | 4.0 | | ranks | | 75.5 | 108.0 | 229.5 | 38.0 | 205.0 | 119.0 | 153.5 | 151.5 | | Overall rank | | 2 | 3 | 8 | 1 | 7 | 4 | 6 | 5 |
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