Research Article
A New Sine-Based Probabilistic Approach: Theory and Monte Carlo Simulation with Reliability Application
Table 6
Partial and overall ranks of all the methods of estimation of proposed distribution by various values of model parameters.
| | Parameter | | | | | | | | | | | | |
| | 30 | 5.0 | 2.0 | 9.0 | 1.0 | 8.0 | 10.5 | 6.0 | 4.0 | 10.5 | 7.0 | 3.0 | | 70 | 1.0 | 3.0 | 9.0 | 2.0 | 7.0 | 11.0 | 6.0 | 4.0 | 10.0 | 8.0 | 5.0 | | 100 | 1.0 | 3.0 | 9.0 | 2.0 | 7.5 | 11.0 | 4.0 | 5.0 | 10.0 | 7.5 | 6.0 | | 150 | 1.0 | 5.0 | 9.5 | 2.0 | 7.0 | 11.0 | 3.0 | 4.0 | 9.5 | 8.0 | 6.0 | | 250 | 1.0 | 3.0 | 7.0 | 2.0 | 8.0 | 11.0 | 6.0 | 4.0 | 10.0 | 9.0 | 5.0 | | 350 | 1.5 | 3.0 | 7.0 | 1.5 | 8.0 | 11.0 | 5.0 | 4.0 | 9.0 | 10.0 | 6.0 |
| | 30 | 4.0 | 3.0 | 11.0 | 1.0 | 8.0 | 9.5 | 7.0 | 6.0 | 9.5 | 5.0 | 2.0 | | 70 | 2.0 | 5.0 | 8.0 | 1.0 | 7.0 | 11.0 | 6.0 | 3.0 | 10.0 | 9.0 | 4.0 | | 100 | 1.0 | 4.0 | 9.0 | 2.0 | 7.5 | 10.0 | 6.0 | 3.0 | 11.0 | 7.5 | 5.0 | | 150 | 1.5 | 4.0 | 9.0 | 1.5 | 7.0 | 10.5 | 5.0 | 3.0 | 10.5 | 8.0 | 6.0 | | 250 | 1.0 | 3.0 | 8.5 | 2.0 | 7.0 | 11.0 | 4.5 | 6.0 | 10.0 | 8.5 | 4.5 | | 350 | 1.5 | 3.0 | 7.0 | 1.5 | 8.0 | 11.0 | 5.0 | 5.0 | 10.0 | 9.0 | 5.0 |
| | 30 | 5.0 | 4.0 | 10.0 | 1.0 | 9.0 | 2.0 | 6.0 | 8.0 | 11.0 | 7.0 | 3.0 | | 70 | 2.0 | 4.0 | 10.0 | 1.0 | 8.0 | 3.0 | 5.0 | 6.0 | 11.0 | 9.0 | 7.0 | | 100 | 2.5 | 4.5 | 9.0 | 1.0 | 8.0 | 2.5 | 4.5 | 6.0 | 11.0 | 10.0 | 7.0 | | 150 | 4.0 | 6.0 | 10.0 | 1.0 | 8.0 | 2.0 | 5.0 | 3.0 | 10.0 | 10.0 | 7.0 | | 250 | 2.0 | 5.0 | 8.0 | 1.0 | 9.0 | 3.0 | 4.0 | 6.0 | 10.5 | 10.5 | 7.0 | | 350 | 1.0 | 5.0 | 10.0 | 3.0 | 7.0 | 4.0 | 6.0 | 2.0 | 11.0 | 9.0 | 8.0 |
| | 30 | 5.0 | 2.0 | 10.5 | 1.0 | 9.0 | 7.0 | 6.0 | 8.0 | 10.5 | 4.0 | 3.0 | | 70 | 2.0 | 4.0 | 11.0 | 1.0 | 9.0 | 8.0 | 6.0 | 5.0 | 10.0 | 7.0 | 3.0 | | 100 | 2.0 | 4.0 | 10.5 | 1.0 | 9.0 | 6.0 | 7.0 | 5.0 | 10.5 | 8.0 | 3.0 | | 150 | 1.0 | 3.0 | 9.0 | 2.0 | 10.0 | 7.0 | 5.0 | 4.0 | 11.0 | 8.0 | 6.0 | | 250 | 2.0 | 3.0 | 10.0 | 1.0 | 7.0 | 6.0 | 4.0 | 5.0 | 11.0 | 9.0 | 8.0 | | 350 | 2.0 | 4.0 | 9.5 | 1.0 | 8.0 | 7.0 | 5.0 | 3.0 | 11.0 | 9.5 | 6.0 |
| | 30 | 5.0 | 3.0 | 10.5 | 1.0 | 9.0 | 2.0 | 8.0 | 7.0 | 10.5 | 6.0 | 4.0 | | 70 | 2.5 | 4.0 | 10.0 | 2.5 | 8.5 | 1.0 | 6.0 | 7.0 | 11.0 | 8.5 | 5.0 | | 100 | 2.0 | 4.0 | 8.0 | 1.0 | 9.5 | 3.0 | 7.0 | 6.0 | 11.0 | 9.5 | 5.0 | | 150 | 2.0 | 6.0 | 10.0 | 1.0 | 8.0 | 3.0 | 5.0 | 4.0 | 11.0 | 9.0 | 7.0 | | 250 | 4.0 | 5.0 | 9.5 | 1.0 | 8.0 | 2.0 | 6.0 | 3.0 | 11.0 | 9.5 | 7.0 | | 350 | 2.0 | 6.0 | 9.0 | 3.0 | 7.0 | 1.0 | 5.0 | 4.0 | 10.0 | 11.0 | 8.0 |
| | | 69.5 | 117.5 | 277.5 | 44.0 | 241.0 | 198.0 | 164.0 | 143.0 | 313.0 | 251.0 | 161.5 | | Overall rank | | 2 | 3 | 10 | 1 | 8 | 7 | 6 | 4 | 11 | 9 | 5 |
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