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

Table 2

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

		GCI		BPCI		BTCI
		0.222	5, 5	0.620	0.952	0.322	0.888	0.391	0.958
5, 10	0.554		0.959	0.315	0.914	0.239	0.964
10, 5	0.496		0.951	0.275	0.924	0.231	0.961
10, 10	0.409		0.954	0.273	0.927	0.214	0.967
10, 15	0.363		0.959	0.273	0.907	0.180	0.968
15, 15	0.323		0.950	0.260	0.913	0.380	0.962
15, 20	0.311		0.951	0.260	0.938	0.376	0.973
20, 15	0.291		0.955	0.260	0.927	0.270	0.965
20, 20	0.297		0.953	0.252	0.933	0.164	0.976
0.987	5, 5	0.572	0.958	0.551	0.945	0.309	0.971
	5, 10	0.570	0.954	0.551	0.948	0.304	0.961
	10, 5	0.572	0.955	0.551	0.944	0.229	0.969
	10, 10	0.562	0.957	0.550	0.942	0.215	0.969
	10, 15	0.554	0.956	0.549	0.939	0.214	0.976
	15, 15	0.554	0.950	0.450	0.944	0.209	0.972
	15, 20	0.551	0.959	0.449	0.945	0.203	0.961
	20, 15	0.551	0.958	0.449	0.940	0.201	0.961
	20, 20	0.548	0.956	0.449	0.945	0.108	0.961
0.500	5, 5	0.637	0.949	0.733	0.940	0.328	0.963
	5, 10	0.579	0.956	0.713	0.946	0.328	0.970
	10, 5	0.567	0.953	0.601	0.926	0.304	0.974
	10, 10	0.514	0.959	0.595	0.942	0.290	0.978
	10, 15	0.510	0.955	0.596	0.941	0.269	0.972
	15, 15	0.442	0.958	0.556	0.945	0.214	0.969
	15, 20	0.420	0.949	0.549	0.936	0.158	0.961
	20, 15	0.410	0.950	0.539	0.936	0.145	0.976
	20, 20	0.379	0.957	0.530	0.944	0.112	0.959