Research Article

Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring

Table 6

and CP of confidence interval for and .

AsymptoticExactCredible equi-tailed
Conjugate
Credible equi-tailed
Jeffreys
HPD
Conjugate
HPD
Jeffreys

10101010
CP
0.3610560.3750950.3121000.3188560.3520940.357747
0.9560.9160.9300.9360.9250.900
98
CP
0.3810430.3962600.3245650.3322430.3694550.376389
0.9390.8570.9060.8910.8800.858
88
CP
0.3819050.4006020.3297600.3371890.3738950.379686
0.9220.8450.8990.9010.8760.847

10301030
CP
0.3012830.3204920.2803370.2862960.3027040.306193
0.8230.9270.9320.9480.9480.930
928
CP
0.3153210.3376850.2908390.2979120.3169070.321067
0.0950.9330.9340.9380.9360.919
827
CP
0.3261390.3535990.3017780.3093640.3294060.334021
1.0000.9230.9420.9510.9390.929

30303030
CP
0.2198060.2224440.2058920.2066720.2176760.218890
1.0000.9310.9250.9260.9350.925
2927
CP
0.2278590.2307040.2116580.2134100.2251770.226650
1.0000.9240.9360.9390.9320.921
2727
CP
0.2296010.2327000.2140870.2152310.2273140.228632
1.0000.9090.9190.9190.9180.906