Research Article
Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring
Table 3
The bias and MSE values (MSE in parentheses) of estimators for
.
| | | | | Prior | MLE | Lindley | MC | MCMC |
| 10 | 10 | 10 | 10 | Conjugate | -0.006236 (0.013546) | 0.017747 (0.011277) | 0.014489 (0.011353) | 0.055189 (0.009427) | Jeffreys | — | 0.000054 (0.012776) | -0.000131 (0.012800) | 0.046938 (0.009554) | 9 | 8 | Conjugate | -0.020955 (0.020210) | 0.001998 (0.015037) | 0.002221 (0.015536) | 0.049048 (0.010972) | Jeffreys | — | -0.017516 (0.018642) | -0.014752 (0.018694) | 0.039356 (0.011794) | 8 | 8 | Conjugate | -0.036934 (0.018266) | -0.006422 (0.014205) | -0.010386 (0.014360) | 0.039886 (0.010667) | Jeffreys | — | -0.028748 (0.016873) | -0.028721 (0.016784) | 0.027892 (0.011565) |
| 10 | 30 | 10 | 30 | Conjugate | -0.019006 (0.006476) | 0.029157 (0.006079) | 0.010961 (0.005102) | 0.044632 (0.005154) | Jeffreys | — | 0.006823 (0.006389) | -0.007084 (0.006079) | 0.031843 (0.004776) | 9 | 28 | Conjugate | -0.022646 (0.008856) | 0.029192 (0.008100) | 0.008836 (0.006968) | 0.044723 (0.006398) | Jeffreys | — | 0.005889 (0.008797) | -0.009568 (0.008326) | 0.031616 (0.006042) | 8 | 27 | Conjugate | -0.020403 (0.009430) | 0.040819 (0.009588) | 0.016503 (0.007684) | 0.053626 (0.007476) | Jeffreys | — | 0.012477 (0.009715) | -0.005752 (0.008934) | 0.035300 (0.007476) |
| 30 | 30 | 30 | 30 | Conjugate | -0.005453 (0.004098) | 0.003841 (0.003746) | 0.003399 (0.003739) | 0.023368 (0.003607) | Jeffreys | — | -0.003058 (0.003991) | -0.002791 (0.004009) | 0.018217 (0.003467) | 29 | 27 | Conjugate | -0.003748 (0.004346) | 0.005040 (0.004015) | 0.005143 (0.004039) | 0.026241 (0.003894) | Jeffreys | — | -0.002042 (0.004232) | -0.001604 (0.004234) | 0.019994 (0.003906) | 27 | 27 | Conjugate | -0.007624 (0.003878) | 0.002911 (0.003491) | 0.002431 (0.003503) | 0.023633 (0.003301) | Jeffreys | — | -0.004931 (0.003755) | -0.005036 (0.003742) | 0.017996 (0.003314) |
|
|