A New Estimation Study of the Stress-Strength Reliability for the Topp–Leone Distribution Using Advanced Sampling Methods

Table 3

Numerical results for the considered sampling schemes, as well as their efficiency with regard to SRS under the following configuration: X and Y have odd and even set sizes, respectively, for cycles.

(n, m)	SRS			(n, m)	RSS			MRSS			Efficiency
		AB	MSE			AB	MSE		AB	MSE
R = 0.6, (α, β) = (3, 2)
(15,10)	0.57227	0.02773	0.00742	(3,2)	0.62347	0.02347	0.00737	0.55437	0.04563	0.00931	1.007	0.797	0.792
(15,20)	0.58160	0.01840	0.00478	(3,4)	0.58371	0.01629	0.00410	0.56015	0.03985	0.00528	1.166	0.905	0.777
R = 0.714, (α, β) = (5, 2)
(15,10)	0.67062	0.04367	0.00722	(3,2)	0.71808	0.00379	0.00435	0.67086	0.04342	0.00674	1.660	1.071	0.645
(15,20)	0.67184	0.04245	0.00512	(3,4)	0.70000	0.01428	0.00347	0.67416	0.04013	0.00419	1.476	1.222	0.828
R = 0.833, (α, β) = (5, 1)
(15,10)	0.77789	0.05545	0.00621	(3,2)	0.84215	0.00882	0.00230	0.79789	0.03545	0.00445	2.700	1.396	0.517
(15,20)	0.78283	0.05050	0.00477	(3,4)	0.82452	0.00881	0.00111	0.85350	0.02010	0.00130	4.297	3.669	0.854
R = 0.9, (α, β) = (4, 0.4)
(15,10)	0.86924	0.03985	0.00274	(3,2)	0.90086	0.00823	0.00064	0.89166	0.01743	0.00085	4.281	3.224	0.753
(15,20)	0.86250	0.04659	0.00398	(3,4)	0.91083	0.00173	0.00068	0.88869	0.02040	0.00164	5.853	2.427	0.415