Bayesian Estimation of the Stress-Strength Reliability Based on Generalized Order Statistics for Pareto Distribution

Table 1

L and CP of generalized, bootstrap percentile, and bootstrap-t confidence intervals (95%) of for Pareto distribution for , , and .

		GCI		BPCI		BTCI
		0.148	5, 5	0.540	0.957	0.397	0.910	0.233	0.969
5, 10	0.535		0.959	0.351	0.877	0.219	0.679
10, 5	0.534		0.951	0.313	0.943	0.216	0.970
10, 10	0.528		0.950	0.310	0.936	0.201	0.968
10, 15	0.526		0.952	0.285	0.920	0.200	0.961
15, 15	0.519		0.952	0.280	0.935	0.162	0.974
15, 20	0.507		0.951	0.272	0.941	0.162	0.991
20, 15	0.503		0.950	0.271	0.944	0.159	0.960
20, 20	0.414		0.952	0.268	0.944	0.158	0.959
0.852	5, 5	0.508	0.950	0.461	0.942	0.211	0.967
	5, 10	0.506	0.951	0.448	0.941	0.251	0.985
	10, 5	0.476	0.952	0.359	0.938	0.304	0.984
	10, 10	0.470	0.955	0.347	0.945	0.258	0.963
	10, 15	0.471	0.952	0.337	0.941	0.264	0.965
	15, 15	0.423	0.957	0.331	0.943	0.314	0.968
	15, 20	0.401	0.954	0.326	0.947	0.410	0.968
	20, 15	0.324	0.952	0.235	0.935	0.271	0.960
	20, 20	0.299	0.956	0.225	0.943	0.221	0.962
0.600	5, 5	0.406	0.950	0.342	0.933	0.333	0.964
	5, 10	0.402	0.953	0.297	0.940	0.312	0.959
	10, 5	0.367	0.954	0.294	0.944	0.312	0.963
	10, 10	0.342	0.954	0.238	0.947	0.312	0.970
	10, 15	0.344	0.952	0.226	0.948	0.297	0.975
	15, 15	0.268	0.958	0.215	0.941	0.288	0.972
	15, 20	0.265	0.953	0.209	0.930	0.282	0.981
	20, 15	0.265	0.957	0.174	0.947	0.263	0.971
	20, 20	0.237	0.954	0.165	0.944	0.261	0.974