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

Table 3

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

			OOS		FR		PTII
			0.148	10, 10		0.077	0.148	0.116	0.049	−0.022	0.158
	0.013	0.025			0.143	0.007	0.004	0.028
	0.352	0.390			0.614	0.348	0.395	0.391
	0.966	0.950			0.964	0.951	0.950	0.950
10, 15		0.033		0.117	−0.129	0.046	−0.053	0.116
		0.006		0.015	0.026	0.006	0.005	0.015
		0.290		0.320	0.586	0.344	0.330	0.334
		0.959		0.950	0.954	0.950	0.950	0.950
15, 10		0.146		0.166	0.700	0.031	0.037	0.188
		0.028		0.030	0.579	0.005	0.005	0.039
		0.215		0.318	0.525	0.333	0.313	0.324
		0.967		0.951	0.967	0.950	0.954	0.950
20, 20		0.104		0.131	−0.091	−0.527	0.002	0.137
		0.014		0.018	0.134	0.282	0.002	0.020
		0.128		0.308	0.205	0.310	0.274	0.314
		0.975		0.950	0.914	0.950	0.975	0.950
0.83	10, 10		−0.078	−0.421	−0.097	−0.525	0.020	−0.153
			0.013	0.187	0.143	0.279	0.005	0.028
			0.841	0.549	0.577	0.376	0.502	0.726
			0.824	0.953	0.750	0.953	0.951	0.958
	10, 15		−0.154	−0.482	−0.682	−0.539	−0.045	−0.229
			0.031	0.237	0.551	0.293	0.006	0.059
			0.776	0.458	0.441	0.355	0.501	0.675
			0.952	0.951	0.941	0.952	0.913	0.957
	15, 10		−0.033	−0.413	0.155	−0.520	0.060	−0.137
			0.007	0.180	0.027	0.273	0.007	0.022
			0.760	0.446	0.424	0.355	0.419	0.632
			0.927	0.955	0.919	0.956	0.969	0.951
	20, 20		−0.103	−0.499	0.002	−0.208	−0.002	−0.282
			0.014	0.251	0.171	0.047	0.002	0.085
			0.752	0.387	0.424	0.316	0.357	0.631
			0.897	0.951	0.942	0.953	0.953	0.954
0.5	10, 10		0.003	−0.103	0.017	−0.205	−0.005	−0.008
			0.015	0.020	0.175	0.046	0.014	0.010
			0.644	0.535	0.319	0.379	0.645	0.620
			0.932	0.952	0.817	0.952	0.951	0.954
	10, 15		−0.091	−0.164	−0.444	−0.222	−0.002	−0.006
			0.020	0.031	0.232	0.053	0.015	0.012
			0.562	0.449	0.205	0.350	0.510	0.539
			0.885	0.958	0.962	0.957	0.785	0.956
	15, 10		0.087	−0.085	0.446	−0.192	−0.124	−0.098
			0.019	0.016	0.230	0.040	0.025	0.018
			0.514	0.446	0.202	0.349	0.435	0.486
			0.967	0.953	0.948	0.956	0.972	0.951
	20, 20		−0.002	−0.167	0.454	−0.191	−0.093	−0.078
			0.006	0.029	0.233	0.040	0.016	0.016
			0.509	0.387	0.135	0.319	0.389	0.395
			0.959	0.952	0.933	0.952	0.943	0.951