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

Table 4

Numerical results for the considered sampling schemes, as well as their efficiency with regard to SRS under the following configuration: X and Y have even and odd 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)
(10,15)	0.54159	0.05841	0.00838	(2,3)	0.64139	0.04139	0.00733	0.64730	0.04730	0.00650	1.143	1.289	1.128
(20,15)	0.57654	0.02346	0.00499	(4,3)	0.61961	0.01961	0.00423	0.63700	0.03700	0.00460	1.180	1.085	0.920
R = 0.714, (α, β) = (5, 2)
(10,15)	0.66847	0.04582	0.00687	(2,3)	0.69401	0.02028	0.00557	0.74170	0.02740	0.00450	1.233	1.527	1.238
(20,15)	0.66813	0.04616	0.00557	(4,3)	0.72361	0.00933	0.00255	0.74160	0.02730	0.00270	2.184	2.063	0.944
R = 0.833, (α, β) = (5, 1)
(10,15)	0.77908	0.05426	0.00642	(2,3)	0.82359	0.00975	0.00195	0.85350	0.02020	0.00200	3.292	3.210	0.975
(20,15)	0.78587	0.04746	0.00413	(4,3)	0.84004	0.00671	0.00117	0.80703	0.02630	0.00226	3.530	1.827	0.518
R = 0.9, (α, β) = (4, 0.4)
(10,15)	0.87510	0.03399	0.00291	(2,3)	0.89599	0.01310	0.00137	0.91680	0.00770	0.00070	2.124	4.157	1.957
(20,15)	0.86658	0.04252	0.00294	(4,3)	0.91311	0.00402	0.00044	0.92150	0.01240	0.00040	6.682	7.350	1.100