Research Article
Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring
Table 1
The bias and MSE values (MSE in parentheses) of estimators for
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| | | | | Prior | MLE | Lindley | MC | MCMC |
| 10 | 10 | 10 | 10 | Conjugate | 0.011339 (0.015528) | 0.010107 (0.012152) | 0.010295 (0.012573) | 0.006669 (0.006495) | Jeffreys | — | 0.010822 (0.014271) | 0.011231 (0.014295) | 0.007375 (0.007236) | 9 | 8 | Conjugate | 0.009474 (0.021751) | 0.003927 (0.016272) | 0.007728 (0.016904) | 0.005395 (0.008246) | Jeffreys | — | 0.004289 (0.019732) | 0.007793 (0.019736) | 0.004971 (0.009175) | 8 | 8 | Conjugate | -0.000753 (0.021541) | -0.000852 (0.016715) | -0.000681 (0.017157) | -0.000596 (0.008737) | Jeffreys | — | -0.000815 (0.019670) | -0.000749 (0.019676) | -0.000502 (0.008889) |
| 10 | 30 | 10 | 30 | Conjugate | -0.015306 (0.010153) | 0.010855 (0.008091) | -0.006733 (0.008151) | -0.005904 (0.004985) | Jeffreys | — | 0.009125 (0.009500) | -0.006959 (0.009400) | -0.006247 (0.005666) | 9 | 28 | Conjugate | -0.003033 (0.009196) | 0.024440 (0.007826) | 0.004501 (0.007476) | 0.002187 (0.004340) | Jeffreys | — | 0.024301 (0.009185) | 0.006082 (0.008662) | 0.003254 (0.004896) | 8 | 27 | Conjugate | -0.017882 (0.016928) | 0.015887 (0.013174) | -0.006873 (0.013339) | -0.005408 (0.007667) | Jeffreys | — | 0.013523 (0.015708) | -0.007212 (0.015539) | -0.006585 (0.008730) |
| 30 | 30 | 30 | 30 | Conjugate | 0.007389 (0.004586) | 0.007087 (0.004188) | 0.007466 (0.004211) | 0.006229 (0.003175) | Jeffreys | — | 0.007269 (0.004444) | 0.007113 (0.004477) | 0.006013 (0.003299) | 29 | 27 | Conjugate | 0.000869 (0.004186) | -0.000089 (0.003779) | 0.000583 (0.003835) | 0.001015 (0.002807) | Jeffreys | — | -0.000090 (0.004044) | 0.000408 (0.004046) | 0.001044 (0.002948) | 27 | 27 | Conjugate | -0.002992 (0.005576) | -0.002802 (0.005017) | -0.002798 (0.005059) | -0.002345 (0.003726) | Jeffreys | — | -0.002939 (0.005384) | -0.002854 (0.005423) | -0.002606 (0.003900) |
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