Research Article
Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring
Table 2
The bias and MSE values (MSE in parentheses) of estimators for
.
| | | | | Prior | MLE | Lindley | MC | MCMC |
| 10 | 10 | 10 | 10 | Conjugate | 0.009500 (0.012304) | -0.015630 (0.010022) | -0.012485 (0.010080) | -0.053973 (0.008464) | Jeffreys | — | 0.002976 (0.011512) | 0.003521 (0.011480) | -0.045037 (0.008308) | 9 | 8 | Conjugate | 0.047141 (0.019723) | 0.013442 (0.015408) | 0.019974 (0.015494) | -0.030126 (0.010706) | Jeffreys | — | 0.035412 (0.018268) | 0.037776 (0.018229) | -0.019705 (0.011154) | 8 | 8 | Conjugate | 0.002840 (0.019525) | -0.023443 (0.015882) | -0.020104 (0.016047) | -0.062010 (0.013115) | Jeffreys | — | -0.004222 (0.018351) | -0.004391 (0.018341) | -0.053220 (0.013700) |
| 10 | 30 | 10 | 30 | Conjugate | -0.002736 (0.008137) | 0.008917 (0.006132) | -0.005916 (0.006567) | -0.038466 (0.006042) | Jeffreys | — | 0.014354 (0.007555) | -0.000261 (0.007695) | -0.034790 (0.006342) | 9 | 28 | Conjugate | -0.000636 (0.011272) | 0.013486 (0.008512) | -0.003448 (0.009072) | -0.037787 (0.007786) | Jeffreys | — | 0.018633 (0.010370) | 0.002493 (0.010620) | -0.036707 (0.008483) | 8 | 27 | Conjugate | -0.011756 (0.007082) | 0.006556 (0.004932) | -0.013705 (0.005678) | -0.049995 (0.006245) | Jeffreys | — | 0.012011 (0.006199) | -0.007743 (0.006572) | -0.046598 (0.006817) |
| 30 | 30 | 30 | 30 | Conjugate | 0.003700 (0.003215) | -0.005787 (0.002979) | -0.005248 (0.002967) | -0.025586 (0.003080) | Jeffreys | — | 0.001298 (0.003137) | 0.001252 (0.003141) | -0.019025 (0.002924) | 29 | 27 | Conjugate | 0.009701 (0.009701) | -0.001228 (0.004512) | -0.000352 (0.004518) | -0.021084 (0.004090) | Jeffreys | — | 0.006303 (0.004813) | 0.006694 (0.004831) | -0.014817 (0.004119) | 27 | 27 | Conjugate | 0.013939 (0.004330) | 0.003420 (0.003420) | 0.004086 (0.003858) | -0.018673 (0.003403) | Jeffreys | — | 0.011203 (0.004182) | 0.011117 (0.004171) | -0.013123 (0.003508) |
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