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

Table 5

Es, MSE, and Eff values using the MLE, MPS, and OLS methods for the GQLD model parameters with , under SRS and RSS.

			Method	MLE			MPS			OLS
				Es	MSE	Eff	Es	MSE	Eff	Es	MSE	Eff
3	5		SRS	0.702	0.727	2.713	0.658	0.806	2.858	0.759	0.857	2.738
			RSS	0.610	0.268		0.534	0.282		0.638	0.313
			SRS	1.021	0.024	1.846	1.053	0.028	1.647	1.013	0.030	2.000
			RSS	1.015	0.013		1.049	0.017		1.006	0.015
	10		SRS	0.585	0.213	5.071	0.543	0.219	4.380	0.607	0.249	5.082
			RSS	0.520	0.042		0.470	0.050		0.531	0.049
			SRS	1.013	0.012	3.000	1.033	0.014	2.800	1.005	0.014	3.500
			RSS	1.003	0.004		1.025	0.005		0.999	0.004
	15		SRS	0.574	0.132	8.800	0.539	0.131	6.895	0.590	0.152	8.941
			RSS	0.513	0.015		0.474	0.019		0.518	0.017
			SRS	1.014	0.008	8.000	1.029	0.009	4.500	1.011	0.010	5.000
			RSS	1.003	0.001		1.019	0.002		1.000	0.002
4	5		SRS	0.649	0.507	4.487	0.607	0.558	4.500	0.677	0.503	4.123
			RSS	0.540	0.113		0.466	0.124		0.558	0.122
			SRS	1.015	0.018	2.250	1.042	0.021	2.100	1.007	0.022	2.444
			RSS	1.002	0.008		1.029	0.010		0.996	0.009
	10		SRS	0.551	0.121	4.321	0.514	0.120	3.636	0.570	0.140	4.242
			RSS	0.520	0.028		0.477	0.033		0.530	0.033
			SRS	1.008	0.008	4.000	1.024	0.009	3.000	1.004	0.010	3.333
			RSS	1.004	0.002		1.022	0.003		1.002	0.003
	15		SRS	0.535	0.079	6.583	0.508	0.079	5.267	0.551	0.093	7.154
			RSS	0.504	0.012		0.471	0.015		0.508	0.013
			SRS	1.006	0.006	6.000	1.018	0.006	6.000	1.003	0.007	7.000
			RSS	1.000	0.001		1.013	0.001		0.999	0.001
5	5		SRS	0.650	0.378	4.447	0.606	0.392	3.920	0.683	0.424	4.283
			RSS	0.542	0.085		0.491	0.100		0.563	0.099
			SRS	1.022	0.016	2.286	1.045	0.019	2.111	1.018	0.018	2.250
			RSS	1.008	0.007		1.035	0.009		1.003	0.008
	10		SRS	0.547	0.091	4.136	0.514	0.089	3.423	0.561	0.102	4.250
			RSS	0.504	0.022		0.466	0.026		0.510	0.024
			SRS	1.008	0.007	3.500	1.022	0.008	4.000	1.005	0.008	4.000
			RSS	1.000	0.002		1.014	0.002		0.997	0.002
	15		SRS	0.534	0.063	6.300	0.509	0.063	4.846	0.547	0.079	7.182
			RSS	0.506	0.010		0.479	0.013		0.509	0.011
			SRS	1.004	0.004	4.000	1.014	0.005	5.000	1.004	0.006	6.000
			RSS	1.001	0.001		1.012	0.001		1.000	0.001