Research Article
Estimation for Parameters of Life of the Marshall-Olkin Generalized-Exponential Distribution Using Progressive Type-II Censored Data
Table 7
The ACLs/CPs of asymptotic/credible interval estimates of
.
| | FP | Scheme | ACI-NA | BCI | ACI-NL | HPD | Prior | I | II | I | II | ACL | CP | ACL | CP | ACL | CP |
| 30 | 30% | 1 | 2.1029 | 0.935 | 0.2470 | 0.959 | 0.1885 | 0.970 | | | 2.8978 | 0.946 | 0.2156 | 0.965 | 0.1737 | 0.976 | | 2 | 2.5156 | 0.933 | 0.2201 | 0.968 | 0.1847 | 0.979 | | | 2.9665 | 0.947 | 0.2080 | 0.970 | 0.1693 | 0.981 | | 3 | 2.6728 | 0.930 | 0.2628 | 0.941 | 0.1667 | 0.951 | | | 3.2831 | 0.931 | 0.2238 | 0.945 | 0.1612 | 0.955 | 60% | 1 | 2.0646 | 0.947 | 0.1941 | 0.968 | 0.1159 | 0.975 | | | 2.8450 | 0.959 | 0.1883 | 0.968 | 0.0998 | 0.979 | | 2 | 2.1457 | 0.949 | 0.1811 | 0.969 | 0.1210 | 0.980 | | | 2.9067 | 0.953 | 0.1541 | 0.975 | 0.1088 | 0.986 | | 3 | 2.2594 | 0.935 | 0.2288 | 0.949 | 0.1598 | 0.959 | | | 3.1135 | 0.935 | 0.2030 | 0.967 | 0.1436 | 0.978 | 90% | 1 | 2.0477 | 0.961 | 0.1289 | 0.968 | 0.1022 | 0.979 | | | 2.4218 | 0.967 | 0.1099 | 0.970 | 0.0925 | 0.981 | | 2 | 2.0345 | 0.959 | 0.1401 | 0.975 | 0.1055 | 0.986 | | | 2.7836 | 0.968 | 0.1266 | 0.982 | 0.0899 | 0.993 | | 3 | 2.0779 | 0.942 | 0.1986 | 0.956 | 0.1369 | 0.967 | | | 2.8034 | 0.952 | 0.1746 | 0.977 | 0.1134 | 0.988 |
| 60 | 30% | 1 | 1.2260 | 0.942 | 0.2037 | 0.966 | 0.1402 | 0.975 | | | 1.3398 | 0.960 | 0.1696 | 0.966 | 0.1155 | 0.981 | | 2 | 1.5492 | 0.943 | 0.1570 | 0.968 | 0.1501 | 0.984 | | | 1.4873 | 0.976 | 0.1351 | 0.973 | 0.1247 | 0.986 | | 3 | 1.6245 | 0.936 | 0.1887 | 0.946 | 0.1353 | 0.957 | | | 1.8239 | 0.946 | 0.1531 | 0.965 | 0.1128 | 0.961 | 60% | 1 | 1.1900 | 0.949 | 0.1913 | 0.969 | 0.1296 | 0.984 | | | 1.1409 | 0.968 | 0.1652 | 0.975 | 0.1129 | 0.984 | | 2 | 1.2970 | 0.959 | 0.1435 | 0.971 | 0.1233 | 0.985 | | | 1.2537 | 0.981 | 0.1177 | 0.983 | 0.0968 | 0.992 | | 3 | 1.1520 | 0.941 | 0.1408 | 0.955 | 0.1259 | 0.965 | | | 1.3875 | 0.965 | 0.1152 | 0.971 | 0.1005 | 0.983 | 90% | 1 | 0.8932 | 0.964 | 0.1273 | 0.978 | 0.1136 | 0.984 | | | 1.0309 | 0.973 | 0.1007 | 0.979 | 0.0948 | 0.986 | | 2 | 0.9701 | 0.970 | 0.1225 | 0.976 | 0.0947 | 0.992 | | | 1.1368 | 0.988 | 0.1010 | 0.985 | 0.0809 | 0.999 | | 3 | 1.0142 | 0.947 | 0.1339 | 0.966 | 0.1202 | 0.972 | | | 1.2175 | 0.978 | 0.1074 | 0.980 | 0.0927 | 0.994 |
| 90 | 30% | 1 | 0.6642 | 0.945 | 0.1061 | 0.979 | 0.0905 | 0.985 | | | 0.7152 | 0.979 | 0.0833 | 0.977 | 0.0676 | 0.985 | | 2 | 0.7568 | 0.945 | 0.1033 | 0.975 | 0.0900 | 0.987 | | | 0.9429 | 0.979 | 0.0799 | 0.978 | 0.0671 | 0.992 | | 3 | 0.8374 | 0.940 | 0.1188 | 0.977 | 0.1022 | 0.965 | | | 1.1004 | 0.948 | 0.0938 | 0.980 | 0.0753 | 0.984 | 60% | 1 | 0.5277 | 0.958 | 0.1021 | 0.980 | 0.0874 | 0.988 | | | 0.6272 | 0.981 | 0.0811 | 0.979 | 0.0643 | 0.995 | | 2 | 0.5950 | 0.967 | 0.1031 | 0.975 | 0.0817 | 0.990 | | | 0.6820 | 0.982 | 0.0775 | 0.985 | 0.0612 | 0.998 | | 3 | 0.8045 | 0.947 | 0.1046 | 0.985 | 0.0979 | 0.974 | | | 0.8527 | 0.979 | 0.0771 | 0.984 | 0.0737 | 0.990 | 90% | 1 | 0.3216 | 0.969 | 0.0882 | 0.983 | 0.0800 | 0.998 | | | 0.4431 | 0.986 | 0.0658 | 0.980 | 0.0589 | 0.999 | | 2 | 0.4885 | 0.981 | 0.1019 | 0.988 | 0.0996 | 0.996 | | | 0.6032 | 0.989 | 0.0770 | 0.987 | 0.0716 | 0.998 | | 3 | 0.5997 | 0.958 | 0.1037 | 0.986 | 0.0973 | 0.985 | | | 0.6263 | 0.980 | 0.0760 | 0.986 | 0.0724 | 0.998 |
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