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

Table 3

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	1.523	2.913	2.715	1.533	3.385	2.287	1.591	3.074	2.465
			RSS	1.268	1.073		1.249	1.480		1.312	1.247
			SRS	3.082	0.279	2.098	3.192	0.337	1.872	3.062	0.339	2.159
			RSS	3.048	0.133		3.164	0.180		3.025	0.157
	10		SRS	1.235	1.059	8.209	1.210	1.142	7.513	1.243	1.069	7.476
			RSS	1.055	0.129		1.012	0.152		1.068	0.143
			SRS	3.041	0.123	3.514	3.106	0.141	3.000	3.015	0.145	3.816
			RSS	3.012	0.035		3.082	0.047		3.003	0.038
	15		SRS	1.191	0.63	13.125	1.169	0.672	11.200	1.212	0.709	13.130
			RSS	1.027	0.048		1.001	0.060		1.033	0.054
			SRS	3.044	0.084	6.000	3.094	0.094	4.273	3.034	0.102	6.375
			RSS	3.007	0.014		3.064	0.022		3.000	0.016
4	5		SRS	1.402	2.025	4.175	1.397	2.339	3.566	1.431	2.132	3.891
			RSS	1.094	0.485		1.042	0.656		1.126	0.548
			SRS	3.064	0.192	2.286	3.153	0.228	2.131	3.039	0.243	2.455
			RSS	2.998	0.084		3.092	0.107		2.981	0.099
	10		SRS	1.143	0.579	6.095	1.121	0.645	5.513	1.163	0.637	6.307
			RSS	1.045	0.095		1.011	0.117		1.052	0.101
			SRS	3.029	0.087	3.346	3.082	0.097	2.553	3.008	0.103	3.679
			RSS	3.012	0.026		3.073	0.038		3.002	0.028
	15		SRS	1.106	0.333	9.000	1.087	0.353	8.209	1.117	0.366	8.927
			RSS	1.009	0.037		0.985	0.043		1.013	0.041
			SRS	3.022	0.058	5.273	3.063	0.064	4.000	3.011	0.070	5.385
			RSS	3.000	0.011		3.042	0.016		2.994	0.013
5	5		SRS	1.330	1.321	3.294	1.314	1.480	2.852	1.362	1.417	3.220
			RSS	1.118	0.401		1.095	0.519		1.141	0.440
			SRS	3.066	0.159	2.208	3.145	0.186	1.879	3.051	0.182	2.220
			RSS	3.025	0.072		3.116	0.099		3.010	0.082
	10		SRS	1.110	0.400	6.061	1.087	0.421	5.329	1.122	0.420	6.000
			RSS	1.017	0.066		0.991	0.079		1.023	0.070
			SRS	3.021	0.070	3.684	3.067	0.077	3.080	3.006	0.083	3.952
			RSS	3.001	0.019		3.051	0.025		2.993	0.021
	15		SRS	1.098	0.230	7.419	1.081	0.238	6.611	1.115	0.272	8.000
			RSS	1.019	0.031		0.996	0.036		1.023	0.034
			SRS	3.019	0.047	5.222	3.054	0.051	3.923	3.020	0.059	5.900
			RSS	3.007	0.009		3.042	0.013		3.002	0.010