Research Article
Bayes Estimation of a Two-Parameter Geometric Distribution under Multiply Type II Censoring
Table 2
The values of bayes estimators of
, and
at
.
| Prior | Loss function | Shape parameter | | | |
| | MELF | — | 2 | 0.3629 | 0.1184 | | GELF | −3 | 5 | 0.3868 | 0.1730 | | GELF | −2 | 5 | 0.3829 | 0.1643 | | SELF | −1 | 5 | 0.3790 | 0.1555 | | GELF | 1 | 3 | 0.3711 | 0.1370 | | GELF | 2 | 3 | 0.3669 | 0.1274 | Informative | GELF | 3 | 2 | 0.3628 | 0.1175 | | LLF | −3 | 7 | 0.3835 | 0.1590 | | LLF | −2 | 7 | 0.3820 | 0.1581 | | LLF | −1 | 6 | 0.3806 | 0.1568 | | LLF | 1 | 3 | 0.3776 | 0.1541 | | LLF | 2 | 2 | 0.3761 | 0.1531 | | LLF | 3 | 2 | 0.3747 | 0.1530 |
| Diffuse | MELF | — | 2 | 0.3760 | 0.1028 | GELF | −3 | 5 | 0.4020 | 0.1613 | GELF | −2 | 5 | 0.3979 | 0.1520 | SELF | −1 | 5 | 0.3937 | 0.1425 | GELF | 1 | 3 | 0.3850 | 0.1226 | GELF | 2 | 3 | 0.3805 | 0.1122 | GELF | 3 | 2 | 0.3759 | 0.1016 | LLF | −3 | 7 | 0.3987 | 0.1461 | LLF | −2 | 7 | 0.3970 | 0.1451 | LLF | −1 | 6 | 0.3954 | 0.1439 | LLF | 1 | 3 | 0.3920 | 0.1411 | LLF | 2 | 2 | 0.3904 | 0.1401 | LLF | 3 | 2 | 0.3887 | 0.1397 |
| Jeffreys’ | MELF | — | 2 | 0.3723 | 0.1043 | GELF | −3 | 5 | 0.3992 | 0.1650 | GELF | −2 | 5 | 0.3950 | 0.1554 | SELF | −1 | 5 | 0.3906 | 0.1455 | GELF | 1 | 3 | 0.3816 | 0.1249 | GELF | 2 | 3 | 0.3769 | 0.1141 | GELF | 3 | 2 | 0.3722 | 0.1031 | LLF | −3 | 7 | 0.4014 | 0.1440 | LLF | −2 | 7 | 0.3996 | 0.1429 | LLF | −1 | 6 | 0.3979 | 0.1417 | LLF | 1 | 3 | 0.3946 | 0.1389 | LLF | 2 | 2 | 0.3929 | 0.1379 | LLF | 3 | 2 | 0.3912 | 0.1374 |
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