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

Table 7

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	2.358	5.294	2.322	2.416	6.034	2.155	2.404	5.459	2.319
			RSS	1.936	2.280		1.960	2.800		1.957	2.354
			SRS	0.829	0.022	2.444	0.861	0.028	2.154	0.823	0.025	2.500
			RSS	0.811	0.009		0.844	0.013		0.804	0.010
	10		SRS	1.965	2.551	8.022	1.981	2.845	6.379	1.957	2.499	7.000
			RSS	1.599	0.318		1.592	0.446		1.615	0.357
			SRS	0.814	0.009	4.500	0.832	0.011	2.750	0.807	0.011	3.667
			RSS	0.803	0.002		0.823	0.004		0.800	0.003
	15		SRS	1.719	1.132	9.593	1.723	1.265	8.490	1.737	1.210	9.237
			RSS	1.546	0.118		1.533	0.149		1.554	0.131
			SRS	0.805	0.005	5.000	0.819	0.006	3.000	0.801	0.007	7.000
			RSS	0.802	0.001		0.817	0.002		0.800	0.001
4	5		SRS	2.093	3.818	1.969	2.139	4.357	1.824	2.125	3.870	1.842
			RSS	1.866	1.939		1.893	2.389		1.904	2.101
			SRS	0.813	0.015	1.875	0.840	0.018	1.800	0.808	0.019	2.111
			RSS	0.809	0.008		0.836	0.010		0.804	0.009
	10		SRS	1.818	1.581	6.615	1.834	1.814	5.871	1.847	1.732	6.439
			RSS	1.575	0.239		1.571	0.309		1.588	0.269
			SRS	0.810	0.006	3.000	0.825	0.007	2.333	0.805	0.008	4.000
			RSS	0.803	0.002		0.820	0.003		0.800	0.002
	15		SRS	1.732	0.879	8.969	1.737	0.981	8.107	1.752	0.978	9.140
			RSS	1.534	0.098		1.520	0.121		1.544	0.107
			SRS	0.808	0.004	4.000	0.820	0.005	5.000	0.806	0.005	5.000
			RSS	0.801	0.001		0.812	0.001		0.800	0.001
5	5		SRS	1.984	2.788	2.339	2.013	3.207	1.910	1.991	2.844	2.254
			RSS	1.761	1.192		1.812	1.679		1.788	1.262
			SRS	0.812	0.011	1.833	0.833	0.013	1.625	0.805	0.013	1.857
			RSS	0.806	0.006		0.831	0.008		0.803	0.007
	10		SRS	1.700	1.103	5.805	1.699	1.197	5.115	1.706	1.098	5.409
			RSS	1.563	0.190		1.561	0.234		1.568	0.203
			SRS	0.803	0.005	2.500	0.816	0.006	3.000	0.799	0.006	3.000
			RSS	0.802	0.002		0.817	0.002		0.800	0.002
	15		SRS	1.695	0.753	9.183	1.697	0.815	8.232	1.705	0.770	8.750
			RSS	1.528	0.082		1.523	0.099		1.533	0.088
			SRS	0.805	0.004	4.000	0.814	0.004	4.000	0.804	0.005	5.000
			RSS	0.801	0.001		0.811	0.001		0.800	0.001