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

Table 5

Bias, MSE, L, and CP of ML and Bayesian confidence interval based on GOS in the special case of Pareto distribution ( and ).

			OOS		FR		PTII
			0.75	10, 10		−0.074	0.250	−0.120	0.250	0.015	0.250
	0.018	0.062			0.185	0.063	0.008	0.062
	0.589	0.550			0.562	0.451	0.439	0.550
	0.896	0.950			0.961	0.951	0.962	0.962
10, 15		−0.136		0.250	−0.647	0.248	−0.067	0.250
		0.032		0.062	0.484	0.062	0.015	0.062
		0.543		0.550	0.491	0.451	0.384	0.551
		0.812		0.951	0.665	0.951	0.899	0.950
15, 10		−0.033		0.250	0.223	0.247	0.064	0.250
		0.010		0.062	0.067	0.161	0.009	0.062
		0.515		0.520	0.465	0.450	0.358	0.549
		0.929		0.959	0.972	0.950	0.965	0.951
20, 20		−0.093		0.250	−0.151	−0.357	−0.007	0.250
		0.016		0.062	0.219	0.127	0.006	0.062
		0.447		0.505	0.464	0.406	0.348	0.548
		0.836		0.950	0.965	0.950	0.948	0.955