Research Article
Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring
Table 4
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 | 0.410623 | 0.417916 | 0.328047 | 0.337885 | 0.385356 | 0.400056 | 0.995 | 0.900 | 0.936 | 0.939 | 0.910 | 0.900 | 9 | 8 | CP | 0.435411 | 0.447157 | 0.342757 | 0.354050 | 0.406417 | 0.423652 | 0.987 | 0.875 | 0.922 | 0.920 | 0.886 | 0.870 | 8 | 8 | CP | 0.443006 | 0.454225 | 0.347341 | 0.358796 | 0.412829 | 0.431075 | 0.725 | 0.857 | 0.922 | 0.916 | 0.869 | 0.855 |
| 10 | 30 | 10 | 30 | CP | 0.344899 | 0.352722 | 0.287869 | 0.295543 | 0.327492 | 0.338830 | 0.242 | 0.929 | 0.954 | 0.953 | 0.932 | 0.922 | 9 | 28 | CP | 0.359745 | 0.369685 | 0.297746 | 0.306382 | 0.340650 | 0.353603 | 1.000 | 0.932 | 0.965 | 0.955 | 0.944 | 0.931 | 8 | 27 | CP | 0.373987 | 0.386498 | 0.306679 | 0.316532 | 0.353156 | 0.367765 | 1.000 | 0.912 | 0.950 | 0.942 | 0.926 | 0.910 |
| 30 | 30 | 30 | 30 | CP | 0.248407 | 0.249667 | 0.223203 | 0.226709 | 0.242077 | 0.245737 | 1.000 | 0.934 | 0.946 | 0.943 | 0.943 | 0.940 | 29 | 27 | CP | 0.257244 | 0.258682 | 0.230090 | 0.233250 | 0.250227 | 0.254282 | 1.000 | 0.941 | 0.949 | 0.949 | 0.942 | 0.938 | 27 | 27 | CP | 0.261087 | 0.262638 | 0.233356 | 0.236327 | 0.253800 | 0.258014 | 1.000 | 0.928 | 0.937 | 0.935 | 0.929 | 0.927 |
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