Research Article
An Extended Cosine Generalized Family of Distributions for Reliability Modeling: Characteristics and Applications with Simulation Study
Table 8
The bias, MSE, CP, L.bound, and U.bound obtained from simulation of ECW model.
| 50 | | 1.5 | 4.090 | 129.984 | 0.92 | 64.873 | 76.054 | 3.5 | 10.379 | 1159.982 | 0.93 | 277.221 | 304.979 | | | 4.0 | 1.917 | 99.612 | 0.90 | 124.588 | 136.423 | 4.0 | 4.041 | 803.360 | 0.90 | 233.217 | 249.300 | | | 2.5 | 0.118 | 2.090 | 0.93 | 1.222 | 6.448 | 2.0 | 0.089 | 2.408 | 0.89 | 2.441 | 6.620 | | | 2.0 | 0.422 | 1.915 | 1.00 | 0.360 | 4.997 | 3.0 | 0.712 | 3.824 | 1.00 | 0.672 | 7.870 |
| 100 | | 1.5 | 3.286 | 81.199 | 0.89 | 31.863 | 41.435 | 3.5 | 11.364 | 1155.276 | 0.90 | 197.695 | 227.423 | | | 4.0 | 1.648 | 60.978 | 0.88 | 70.671 | 81.968 | 4.0 | 3.941 | 659.501 | 0.88 | 170.913 | 186.795 | | | 2.5 | 0.232 | 1.333 | 0.95 | 0.310 | 5.458 | 2.0 | 0.265 | 2.066 | 0.92 | 1.091 | 5.619 | | | 2.0 | 0.107 | 0.560 | 0.98 | 0.565 | 3.661 | 3.0 | 0.236 | 1.482 | 0.99 | 0.740 | 5.832 |
| 200 | | 1.5 | 2.457 | 41.989 | 0.92 | 16.483 | 24.398 | 3.5 | 6.050 | 303.360 | 0.93 | 50.928 | 70.028 | | | 4.0 | 1.448 | 28.288 | 0.86 | 48.323 | 59.220 | 4.0 | 2.077 | 61.763 | 0.88 | 57.580 | 69.734 | | | 2.5 | 0.159 | 0.688 | 0.98 | 0.830 | 4.510 | 2.0 | 0.169 | 0.874 | 0.96 | 0.220 | 4.343 | | | 2.0 | 0.015 | 0.230 | 0.96 | 0.965 | 3.065 | 3.0 | 0.060 | 0.582 | 0.99 | 1.321 | 4.803 |
| 300 | | 1.5 | 2.150 | 28.857 | 0.93 | 12.673 | 19.972 | 3.5 | 5.660 | 191.644 | 0.94 | 34.477 | 52.798 | | | 4.0 | 1.267 | 27.004 | 0.85 | 38.657 | 49.191 | 4.0 | 1.363 | 26.229 | 0.86 | 41.528 | 52.254 | | | 2.5 | 0.116 | 0.388 | 0.98 | 1.148 | 4.087 | 2.0 | 0.143 | 0.592 | 0.96 | 0.439 | 3.902 | | | 2.0 | 0.000 | 0.141 | 0.97 | 1.148 | 2.853 | 3.0 | 0.034 | 0.432 | 0.97 | 1.608 | 4.460 |
| 500 | | 1.5 | 1.906 | 21.895 | 0.91 | 9.054 | 15.866 | 3.5 | 4.850 | 149.737 | 0.93 | 25.290 | 41.989 | | | 4.0 | 0.877 | 20.226 | 0.82 | 28.662 | 38.417 | 4.0 | 1.191 | 23.163 | 0.84 | 32.997 | 43.380 | | | 2.5 | 0.079 | 0.229 | 0.97 | 1.437 | 3.722 | 2.0 | 0.079 | 0.350 | 0.97 | 0.629 | 3.536 | | | 2.0 | −0.007 | 0.091 | 0.96 | 1.329 | 2.657 | 3.0 | −0.030 | 0.244 | 0.98 | 1.874 | 4.066 |
| 1000 | | 1.5 | 1.560 | 14.969 | 0.97 | 6.636 | 12.757 | 3.5 | 3.808 | 90.184 | 0.98 | 16.403 | 31.018 | | | 4.0 | 1.198 | 23.410 | 0.81 | 24.178 | 34.574 | 4.0 | 1.110 | 22.787 | 0.82 | 23.483 | 33.704 | | | 2.5 | 0.066 | 0.115 | 0.98 | 1.717 | 3.414 | 2.0 | 0.068 | 0.146 | 0.98 | 1.113 | 3.027 | | | 2.0 | −0.023 | 0.043 | 0.98 | 1.492 | 2.461 | 3.0 | −0.025 | 0.109 | 0.98 | 2.182 | 3.769 |
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