Research Article
Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring
Table 6
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 | 0.361056 | 0.375095 | 0.312100 | 0.318856 | 0.352094 | 0.357747 | 0.956 | 0.916 | 0.930 | 0.936 | 0.925 | 0.900 | 9 | 8 | CP | 0.381043 | 0.396260 | 0.324565 | 0.332243 | 0.369455 | 0.376389 | 0.939 | 0.857 | 0.906 | 0.891 | 0.880 | 0.858 | 8 | 8 | CP | 0.381905 | 0.400602 | 0.329760 | 0.337189 | 0.373895 | 0.379686 | 0.922 | 0.845 | 0.899 | 0.901 | 0.876 | 0.847 |
| 10 | 30 | 10 | 30 | CP | 0.301283 | 0.320492 | 0.280337 | 0.286296 | 0.302704 | 0.306193 | 0.823 | 0.927 | 0.932 | 0.948 | 0.948 | 0.930 | 9 | 28 | CP | 0.315321 | 0.337685 | 0.290839 | 0.297912 | 0.316907 | 0.321067 | 0.095 | 0.933 | 0.934 | 0.938 | 0.936 | 0.919 | 8 | 27 | CP | 0.326139 | 0.353599 | 0.301778 | 0.309364 | 0.329406 | 0.334021 | 1.000 | 0.923 | 0.942 | 0.951 | 0.939 | 0.929 |
| 30 | 30 | 30 | 30 | CP | 0.219806 | 0.222444 | 0.205892 | 0.206672 | 0.217676 | 0.218890 | 1.000 | 0.931 | 0.925 | 0.926 | 0.935 | 0.925 | 29 | 27 | CP | 0.227859 | 0.230704 | 0.211658 | 0.213410 | 0.225177 | 0.226650 | 1.000 | 0.924 | 0.936 | 0.939 | 0.932 | 0.921 | 27 | 27 | CP | 0.229601 | 0.232700 | 0.214087 | 0.215231 | 0.227314 | 0.228632 | 1.000 | 0.909 | 0.919 | 0.919 | 0.918 | 0.906 |
|
|