Research Article
Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring
Table 5
and CP of confidence interval for
and
.
| | | | | | Asymptotic | Exact | Credible equi-tailed Conjugate | Credible equi-tailed Jeffreys | HPD Conjugate | HPD Jeffreys |
| 10 | 10 | 10 | 10 | CP | 0.358133 | 0.371438 | 0.311195 | 0.317441 | 0.349515 | 0.355055 | 0.987 | 0.867 | 0.907 | 0.908 | 0.882 | 0.869 | 9 | 8 | CP | 0.370774 | 0.390539 | 0.324441 | 0.332062 | 0.365106 | 0.370252 | 0.925 | 0.850 | 0.902 | 0.902 | 0.869 | 0.844 | 8 | 8 | CP | 0.383027 | 0.403275 | 0.329960 | 0.338316 | 0.374478 | 0.380763 | 0.724 | 0.850 | 0.894 | 0.900 | 0.874 | 0.849 |
| 10 | 30 | 10 | 30 | CP | 0.304199 | 0.307665 | 0.260316 | 0.264883 | 0.290042 | 0.296947 | 0.996 | 0.886 | 0.907 | 0.897 | 0.905 | 0.883 | 9 | 28 | CP | 0.322409 | 0.326611 | 0.271776 | 0.277204 | 0.305627 | 0.313888 | 1.000 | 0.909 | 0.908 | 0.906 | 0.922 | 0.911 | 8 | 27 | CP | 0.333331 | 0.338090 | 0.277764 | 0.283595 | 0.314420 | 0.323653 | 0.759 | 0.877 | 0.886 | 0.879 | 0.899 | 0.880 |
| 30 | 30 | 30 | 30 | CP | 0.219360 | 0.222087 | 0.204815 | 0.206564 | 0.217282 | 0.218471 | 1.000 | 0.930 | 0.942 | 0.938 | 0.938 | 0.927 | 29 | 27 | CP | 0.225229 | 0.228234 | 0.210635 | 0.211962 | 0.223388 | 0.224514 | 1.000 | 0.903 | 0.915 | 0.918 | 0.923 | 0.906 | 27 | 27 | CP | 0.229774 | 0.232950 | 0.214164 | 0.215451 | 0.227483 | 0.228800 | 1.000 | 0.915 | 0.920 | 0.919 | 0.928 | 0.920 |
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