Efficient Estimation of the Generalized Quasi-Lindley Distribution Parameters under Ranked Set Sampling and Applications

Table 6

Es, MSE, and Eff values using the WLS, CV, and AD methods for the GQLD model parameters with , under SRS and RSS.

			Method	WLS			CV			AD
				Es	MSE	Eff	Es	MSE	Eff	Es	MSE	Eff
3	5		SRS	0.747	0.788	2.680	0.730	0.777	2.707	0.732	0.739	2.707
			RSS	0.634	0.294		0.617	0.287		0.629	0.273
			SRS	1.011	0.028	2.000	1.018	0.028	2.000	1.010	0.026	2.000
			RSS	1.005	0.014		1.013	0.014		1.006	0.013
	10		SRS	0.602	0.228	5.067	0.592	0.225	5.114	0.602	0.226	5.136
			RSS	0.530	0.045		0.519	0.044		0.527	0.044
			SRS	1.005	0.013	3.250	1.010	0.013	3.250	1.006	0.013	3.250
			RSS	0.999	0.004		1.003	0.004		0.999	0.004
	15		SRS	0.586	0.142	8.875	0.578	0.141	8.812	0.586	0.140	9.333
			RSS	0.519	0.016		0.511	0.016		0.518	0.015
			SRS	1.010	0.009	9.000	1.013	0.009	9.000	1.010	0.009	9.000
			RSS	1.000	0.001		1.003	0.001		1.001	0.001
4	5		SRS	0.670	0.467	4.026	0.657	0.468	4.105	0.665	0.452	3.930
			RSS	0.556	0.116		0.542	0.114		0.554	0.115
			SRS	1.006	0.020	2.500	1.012	0.021	2.625	1.007	0.019	2.375
			RSS	0.995	0.008		1.001	0.008		0.996	0.008
	10		SRS	0.566	0.130	4.483	0.557	0.128	4.414	0.565	0.128	4.414
			RSS	0.528	0.029		0.519	0.029		0.527	0.029
			SRS	1.004	0.009	3.000	1.007	0.009	3.000	1.003	0.009	3.000
			RSS	1.002	0.003		1.005	0.003		1.002	0.003
	15		SRS	0.546	0.086	7.167	0.540	0.084	7.000	0.547	0.085	7.083
			RSS	0.508	0.012		0.501	0.012		0.507	0.012
			SRS	1.003	0.006	6.000	1.005	0.006	6.000	1.003	0.006	6.000
			RSS	0.998	0.001		1.001	0.001		0.999	0.001
5	5		SRS	0.675	0.380	4.086	0.662	0.375	4.121	0.670	0.383	4.303
			RSS	0.559	0.093		0.546	0.091		0.557	0.089
			SRS	1.017	0.017	2.429	1.022	0.018	2.571	1.016	0.017	2.429
			RSS	1.002	0.007		1.007	0.007		1.002	0.007
	10		SRS	0.559	0.097	4.409	0.552	0.096	4.364	0.557	0.096	4.364
			RSS	0.511	0.022		0.503	0.022		0.509	0.022
			SRS	1.005	0.008	4.000	1.008	0.008	4.000	1.005	0.007	3.500
			RSS	0.998	0.002		1.001	0.002		0.998	0.002
	15		SRS	0.542	0.070	7.000	0.536	0.069	6.900	0.542	0.070	7.000
			RSS	0.509	0.010		0.504	0.010		0.509	0.010
			SRS	1.004	0.005	5.000	1.006	0.005	5.000	1.003	0.005	5.000
			RSS	1.000	0.001		1.002	0.001		1.000	0.001