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

Table 4

Bias, MSE, L, and CP of ML and Bayesian confidence interval based on GOS for Pareto distribution (, and ).

			OOS		FR		PTII
			0.26	10, 10		0.218	0.217	0.533	0.275	0.067	0.133
	0.064	0.051			0.392	0.085	0.014	0.021
	0.571	0.553			0.472	0.462	0.470	0.475
	0.964	0.950			0.879	0.955	0.968	0.953
10, 15		0.157		0.195	0.018	0.274	0.003	0.113
		0.037		0.041	0.145	0.085	0.007	0.015
		0.559		0.527	0.432	0.461	0.376	0.431
		0.972		0.951	0.773	0.953	0.947	0.952
15, 10		0.330		0.255	0.728	0.284	0.192	0.197
		0.120		0.067	0.532	0.091	0.045	0.042
		0.535		0.519	0.430	0.376	0.304	0.432
		0.951		0.950	0.871	0.952	0.961	0.950
20, 20		0.283		0.237	0.327	−0.053	0.143	0.200
		0.087		0.058	0.148	0.013	0.025	0.042
		0.444		0.436	0.430	0.320	0.293	0.316
		0.950		0.950	0.947	0.947	0.958	0.950
0.60	10, 10		0.140	−0.082	0.308	−0.051	0.144	−0.063
			0.031	0.009	0.147	0.013	0.030	0.007
			0.453	0.570	0.542	0.665	0.347	0.590
			0.975	0.952	0.835	0.958	0.972	0.951
	10, 15		0.079	−0.101	−0.101	−0.046	0.046	−0.090
			0.016	0.012	0.194	0.012	0.013	0.010
			0.382	0.543	0.386	0.663	0.324	0.552
			0.967	0.952	0.877	0.955	0.961	0.953
	15, 10		0.211	−0.059	0.398	−0.038	0.235	−0.041
			0.051	0.005	0.159	0.011	0.060	0.004
			0.373	0.532	0.335	0.620	0.288	0.505
			0.959	0.955	0.880	0.950	0.951	0.954
	20, 20		0.163	−0.087	0.089	−0.317	0.182	−0.070
			0.031	0.008	0.025	0.112	0.037	0.006
			0.317	0.532	0.326	0.552	0.230	0.456
			0.959	0.955	0.887	0.959	0.953	0.957
0.88	10, 10		0.001	−0.255	0.083	−0.313	0.053	−0.175
			0.003	0.069	0.026	0.109	0.005	0.032
			0.417	0.481	0.476	0.395	0.239	0.325
			0.947	0.953	0.867	0.950	0.968	0.950
	10, 15		−0.035	−0.297	−0.239	−0.313	0.019	−0.202
			0.005	0.091	0.217	0.108	0.002	0.043
			0.390	0.433	0.426	0.390	0.235	0.323
			0.940	0.952	0.884	0.951	0.964	0.951
	15, 10		0.033	−0.237	0.118	−0.300	0.076	−0.159
			0.003	0.059	0.014	0.101	0.007	0.026
			0.327	0.430	0.426	0.391	0.234	0.316
			0.959	0.951	0.898	0.953	0.975	0.950
	20, 20		−0.001	−0.307	0.118	−0.297	0.054	−0.196
			0.002	0.096	0.014	0.098	0.004	0.039
			0.321	0.417	0.421	0.311	0.225	0.315
			0.958	0.954	0.821	0.950	0.974	0.951