Research Article

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

Table 4

and CP of confidence interval for and .

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

10101010
CP
0.4106230.4179160.3280470.3378850.3853560.400056
0.9950.9000.9360.9390.9100.900
98
CP
0.4354110.4471570.3427570.3540500.4064170.423652
0.9870.8750.9220.9200.8860.870
88
CP
0.4430060.4542250.3473410.3587960.4128290.431075
0.7250.8570.9220.9160.8690.855

10301030
CP
0.3448990.3527220.2878690.2955430.3274920.338830
0.2420.9290.9540.9530.9320.922
928
CP
0.3597450.3696850.2977460.3063820.3406500.353603
1.0000.9320.9650.9550.9440.931
827
CP
0.3739870.3864980.3066790.3165320.3531560.367765
1.0000.9120.9500.9420.9260.910

30303030
CP
0.2484070.2496670.2232030.2267090.2420770.245737
1.0000.9340.9460.9430.9430.940
2927
CP
0.2572440.2586820.2300900.2332500.2502270.254282
1.0000.9410.9490.9490.9420.938
2727
CP
0.2610870.2626380.2333560.2363270.2538000.258014
1.0000.9280.9370.9350.9290.927