Research Article
Estimation for Parameters of Life of the Marshall-Olkin Generalized-Exponential Distribution Using Progressive Type-II Censored Data
Table 6
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 | 1.5136 | 0.963 | 0.3198 | 0.988 | 0.2507 | 0.999 | | | 2.0153 | 0.935 | 0.2705 | 0.959 | 0.1942 | 0.972 | | 2 | 1.6241 | 0.963 | 0.3085 | 0.988 | 0.2710 | 0.999 | | | 2.0466 | 0.933 | 0.2496 | 0.957 | 0.2316 | 0.970 | | 3 | 1.8642 | 0.930 | 0.2966 | 0.954 | 0.2804 | 0.967 | | | 2.0752 | 0.931 | 0.2569 | 0.955 | 0.2393 | 0.968 | 60% | 1 | 1.2520 | 0.966 | 0.2967 | 0.991 | 0.2257 | 0.999 | | | 1.4132 | 0.942 | 0.2644 | 0.966 | 0.1706 | 0.979 | | 2 | 1.2288 | 0.970 | 0.2835 | 0.995 | 0.2668 | 0.999 | | | 1.3672 | 0.947 | 0.2401 | 0.972 | 0.2202 | 0.984 | | 3 | 1.1503 | 0.948 | 0.2776 | 0.973 | 0.2344 | 0.985 | | | 1.6574 | 0.935 | 0.2320 | 0.959 | 0.1790 | 0.972 | 90% | 1 | 1.1156 | 0.982 | 0.2389 | 0.997 | 0.2069 | 0.999 | | | 1.2204 | 0.958 | 0.1992 | 0.983 | 0.1595 | 0.996 | | 2 | 1.1042 | 0.978 | 0.2630 | 0.994 | 0.2420 | 0.999 | | | 1.2040 | 0.949 | 0.2074 | 0.974 | 0.1959 | 0.986 | | 3 | 1.1252 | 0.966 | 0.2347 | 0.991 | 0.2147 | 0.999 | | | 1.2621 | 0.941 | 0.1799 | 0.965 | 0.1697 | 0.978 |
| 60 | 30% | 1 | 1.0578 | 0.971 | 0.2607 | 0.997 | 0.2495 | 0.999 | | | 1.1375 | 0.939 | 0.2003 | 0.964 | 0.1968 | 0.977 | | 2 | 1.0423 | 0.965 | 0.2327 | 0.991 | 0.2083 | 0.999 | | | 1.1156 | 0.943 | 0.1841 | 0.968 | 0.1577 | 0.982 | | 3 | 1.3312 | 0.953 | 0.2442 | 0.979 | 0.2028 | 0.992 | | | 1.6050 | 0.930 | 0.1917 | 0.955 | 0.1597 | 0.968 | 60% | 1 | 0.8704 | 0.979 | 0.2009 | 0.995 | 0.1897 | 0.999 | | | 0.9127 | 0.947 | 0.1452 | 0.973 | 0.1349 | 0.986 | | 2 | 0.8333 | 0.971 | 0.2249 | 0.997 | 0.1962 | 0.999 | | | 0.8713 | 0.949 | 0.1687 | 0.973 | 0.1460 | 0.985 | | 3 | 0.9457 | 0.956 | 0.2241 | 0.982 | 0.1908 | 0.995 | | | 1.0345 | 0.938 | 0.1770 | 0.963 | 0.1386 | 0.976 | 90% | 1 | 0.7658 | 0.990 | 0.1903 | 0.997 | 0.1730 | 0.999 | | | 0.7945 | 0.961 | 0.1457 | 0.987 | 0.1294 | 0.999 | | 2 | 0.7514 | 0.987 | 0.2059 | 0.996 | 0.1925 | 0.999 | | | 0.7789 | 0.949 | 0.1600 | 0.974 | 0.1404 | 0.988 | | 3 | 0.7766 | 0.969 | 0.1927 | 0.995 | 0.1848 | 0.999 | | | 0.8087 | 0.942 | 0.1419 | 0.967 | 0.1334 | 0.980 |
| 90 | 30% | 1 | 0.8749 | 0.977 | 0.1865 | 0.997 | 0.1730 | 0.999 | | | 0.9156 | 0.945 | 0.1338 | 0.973 | 0.1243 | 0.988 | | 2 | 0.8202 | 0.968 | 0.1867 | 0.997 | 0.1801 | 0.999 | | | 0.8548 | 0.945 | 0.1376 | 0.973 | 0.1283 | 0.988 | | 3 | 1.0393 | 0.958 | 0.2030 | 0.987 | 0.1799 | 0.999 | | | 1.1490 | 0.938 | 0.1517 | 0.966 | 0.1292 | 0.981 | 60% | 1 | 0.7025 | 0.981 | 0.1818 | 0.999 | 0.1674 | 0.999 | | | 0.7232 | 0.949 | 0.1322 | 0.977 | 0.1177 | 0.992 | | 2 | 0.6679 | 0.985 | 0.1783 | 0.999 | 0.1702 | 0.999 | | | 0.6866 | 0.950 | 0.1281 | 0.979 | 0.1193 | 0.993 | | 3 | 0.7937 | 0.974 | 0.1869 | 0.999 | 0.1658 | 0.999 | | | 0.8015 | 0.940 | 0.1358 | 0.968 | 0.1183 | 0.983 | 90% | 1 | 0.6217 | 0.996 | 0.1817 | 0.999 | 0.1575 | 0.999 | | | 0.6369 | 0.969 | 0.1318 | 0.998 | 0.1104 | 0.999 | | 2 | 0.6081 | 0.998 | 0.1731 | 0.998 | 0.1664 | 0.999 | | | 0.6224 | 0.961 | 0.1247 | 0.990 | 0.1188 | 0.999 | | 3 | 0.6364 | 0.981 | 0.1730 | 0.999 | 0.1645 | 0.999 | | | 0.6531 | 0.947 | 0.1230 | 0.975 | 0.1179 | 0.990 |
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