Research Article

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

Table 5

and CP of confidence interval for and .

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

10101010
CP
0.3581330.3714380.3111950.3174410.3495150.355055
0.9870.8670.9070.9080.8820.869
98
CP
0.3707740.3905390.3244410.3320620.3651060.370252
0.9250.8500.9020.9020.8690.844
88
CP
0.3830270.4032750.3299600.3383160.3744780.380763
0.7240.8500.8940.9000.8740.849

10301030
CP
0.3041990.3076650.2603160.2648830.2900420.296947
0.9960.8860.9070.8970.9050.883
928
CP
0.3224090.3266110.2717760.2772040.3056270.313888
1.0000.9090.9080.9060.9220.911
827
CP
0.3333310.3380900.2777640.2835950.3144200.323653
0.7590.8770.8860.8790.8990.880

30303030
CP
0.2193600.2220870.2048150.2065640.2172820.218471
1.0000.9300.9420.9380.9380.927
2927
CP
0.2252290.2282340.2106350.2119620.2233880.224514
1.0000.9030.9150.9180.9230.906
2727
CP
0.2297740.2329500.2141640.2154510.2274830.228800
1.0000.9150.9200.9190.9280.920