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 .

PriorMLELindleyMCMCMC

10101010Conjugate-0.006236 (0.013546)0.017747 (0.011277)0.014489 (0.011353)0.055189 (0.009427)
Jeffreys0.000054 (0.012776)-0.000131 (0.012800)0.046938 (0.009554)
98Conjugate-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)
88Conjugate-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)

10301030Conjugate-0.019006 (0.006476)0.029157 (0.006079)0.010961 (0.005102)0.044632 (0.005154)
Jeffreys0.006823 (0.006389)-0.007084 (0.006079)0.031843 (0.004776)
928Conjugate-0.022646 (0.008856)0.029192 (0.008100)0.008836 (0.006968)0.044723 (0.006398)
Jeffreys0.005889 (0.008797)-0.009568 (0.008326)0.031616 (0.006042)
827Conjugate-0.020403 (0.009430)0.040819 (0.009588)0.016503 (0.007684)0.053626 (0.007476)
Jeffreys0.012477 (0.009715)-0.005752 (0.008934)0.035300 (0.007476)

30303030Conjugate-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)
2927Conjugate-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)
2727Conjugate-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)