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 .

PriorMLELindleyMCMCMC

10101010Conjugate0.009500 (0.012304)-0.015630 (0.010022)-0.012485 (0.010080)-0.053973 (0.008464)
Jeffreys0.002976 (0.011512)0.003521 (0.011480)-0.045037 (0.008308)
98Conjugate0.047141 (0.019723)0.013442 (0.015408)0.019974 (0.015494)-0.030126 (0.010706)
Jeffreys0.035412 (0.018268)0.037776 (0.018229)-0.019705 (0.011154)
88Conjugate0.002840 (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)

10301030Conjugate-0.002736 (0.008137)0.008917 (0.006132)-0.005916 (0.006567)-0.038466 (0.006042)
Jeffreys0.014354 (0.007555)-0.000261 (0.007695)-0.034790 (0.006342)
928Conjugate-0.000636 (0.011272)0.013486 (0.008512)-0.003448 (0.009072)-0.037787 (0.007786)
Jeffreys0.018633 (0.010370)0.002493 (0.010620)-0.036707 (0.008483)
827Conjugate-0.011756 (0.007082)0.006556 (0.004932)-0.013705 (0.005678)-0.049995 (0.006245)
Jeffreys0.012011 (0.006199)-0.007743 (0.006572)-0.046598 (0.006817)

30303030Conjugate0.003700 (0.003215)-0.005787 (0.002979)-0.005248 (0.002967)-0.025586 (0.003080)
Jeffreys0.001298 (0.003137)0.001252 (0.003141)-0.019025 (0.002924)
2927Conjugate0.009701 (0.009701)-0.001228 (0.004512)-0.000352 (0.004518)-0.021084 (0.004090)
Jeffreys0.006303 (0.004813)0.006694 (0.004831)-0.014817 (0.004119)
2727Conjugate0.013939 (0.004330)0.003420 (0.003420)0.004086 (0.003858)-0.018673 (0.003403)
Jeffreys0.011203 (0.004182)0.011117 (0.004171)-0.013123 (0.003508)