Research Article
[Retracted] The Power XLindley Distribution: Statistical Inference, Fuzzy Reliability, and COVID-19 Application
Table 7
Partial and overall ranks of all estimation methods of PXL distribution.
| | Parameter | | MLE | ADE | CVME | MPSE | OLSE | PCE | RTADE | WLSE | LTADE |
| | , | 20 | 1.0 | 2.0 | 4.5 | 3.0 | 8.0 | 9.0 | 4.5 | 6.0 | 7.0 | | 60 | 1.0 | 4.5 | 8.0 | 3.0 | 7.0 | 9.0 | 4.5 | 2.0 | 6.0 | | 100 | 1.0 | 3.0 | 6.0 | 5.0 | 7.0 | 9.0 | 4.0 | 2.0 | 8.0 | | 200 | 1.0 | 4.0 | 7.0 | 3.0 | 7.0 | 9.0 | 7.0 | 2.0 | 5.0 | | 350 | 1.0 | 4.0 | 7.0 | 3.0 | 7.0 | 9.0 | 5.0 | 2.0 | 7.0 | | 500 | 1.0 | 4.0 | 7.5 | 2.0 | 5.0 | 9.0 | 6.0 | 3.0 | 7.5 |
| | , | 20 | 5.0 | 4.0 | 9.0 | 1.0 | 6.0 | 2.0 | 7.0 | 3.0 | 8.0 | | 60 | 2.0 | 4.0 | 5.0 | 1.0 | 9.0 | 6.5 | 6.5 | 3.0 | 8.0 | | 100 | 4.0 | 2.0 | 7.0 | 1.0 | 5.0 | 8.0 | 6.0 | 3.0 | 9.0 | | 200 | 4.0 | 2.0 | 8.0 | 1.0 | 9.0 | 6.0 | 5.0 | 3.0 | 7.0 | | 350 | 2.0 | 4.0 | 9.0 | 1.0 | 5.0 | 8.0 | 3.0 | 6.0 | 7.0 | | 500 | 5.0 | 2.5 | 8.0 | 1.0 | 6.0 | 4.0 | 9.0 | 2.5 | 7.0 |
| | , | 20 | 3.5 | 1.5 | 9.0 | 1.5 | 6.0 | 7.0 | 5.0 | 3.5 | 8.0 | | 60 | 2.0 | 4.0 | 8.5 | 1.0 | 7.0 | 6.0 | 5.0 | 3.0 | 8.5 | | 100 | 2.0 | 3.0 | 6.0 | 1.0 | 7.0 | 8.0 | 4.0 | 5.0 | 9.0 | | 200 | 2.0 | 4.5 | 8.5 | 1.0 | 6.0 | 7.0 | 3.0 | 4.5 | 8.5 | | 350 | 2.0 | 5.0 | 6.5 | 1.0 | 6.5 | 9.0 | 3.5 | 3.5 | 8.0 | | 500 | 1.0 | 5.0 | 6.5 | 2.0 | 6.5 | 9.0 | 4.0 | 3.0 | 8.0 |
| | , | 20 | 5.0 | 3.5 | 8.0 | 1.0 | 7.0 | 2.0 | 3.5 | 6.0 | 9.0 | | 60 | 1.0 | 4.0 | 8.0 | 3.0 | 6.0 | 2.0 | 7.0 | 5.0 | 9.0 | | 100 | 3.0 | 4.0 | 9.0 | 2.0 | 7.0 | 1.0 | 5.5 | 5.5 | 8.0 | | 200 | 3.0 | 4.0 | 7.5 | 1.5 | 7.5 | 1.5 | 6.0 | 5.0 | 9.0 | | 350 | 1.0 | 4.0 | 8.0 | 3.0 | 7.0 | 2.0 | 6.0 | 5.0 | 9.0 | | 500 | 2.0 | 3.0 | 8.0 | 4.0 | 7.0 | 1.0 | 5.0 | 6.0 | 9.0 |
| | , | 20 | 4.0 | 3.0 | 8.5 | 1.0 | 7.0 | 2.0 | 5.0 | 6.0 | 8.5 | | 60 | 2.5 | 4.0 | 9.0 | 1.0 | 7.0 | 2.5 | 5.5 | 5.5 | 8.0 | | 100 | 1.0 | 4.0 | 8.5 | 2.0 | 7.0 | 3.0 | 5.0 | 6.0 | 8.5 | | 200 | 2.5 | 6.0 | 9.0 | 1.0 | 7.0 | 2.5 | 5.0 | 4.0 | 8.0 | | 350 | 1.0 | 4.0 | 7.0 | 2.0 | 9.0 | 3.0 | 5.0 | 6.0 | 8.0 | | 500 | 1.0 | 4.5 | 7.0 | 2.0 | 8.0 | 3.0 | 6.0 | 4.5 | 9.0 |
| | ranks | 67.5 | 111.0 | 228.5 | 56.0 | 206.5 | 160.0 | 156.5 | 124.5 | 239.5 | | Overall rank | 2 | 3 | 8 | 1 | 7 | 6 | 5 | 4 | 9 |
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