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

Table 1

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

			Method	MLE			MPS			OLS
				Es	MSE	Eff	Es	MSE	Eff	Es	MSE	Eff
3	5		SRS	1.548	2.94	2.715	1.551	3.393	2.307	1.581	3.099	2.499
			RSS	1.261	1.083		1.242	1.471		1.296	1.240
			SRS	1.032	0.032	2.133	1.068	0.039	1.950	1.020	0.038	2.235
			RSS	1.014	0.015		1.054	0.020		1.005	0.017
	10		SRS	1.288	1.243	10.106	1.274	1.392	9.943	1.327	1.393	9.476
			RSS	1.057	0.123		1.020	0.140		1.072	0.147
			SRS	1.017	0.013	3.250	1.041	0.015	3.000	1.014	0.017	4.250
			RSS	1.005	0.004		1.029	0.005		1.001	0.004
	15		SRS	1.189	0.645	13.438	1.168	0.681	10.984	1.211	0.720	13.585
			RSS	1.024	0.048		1.000	0.062		1.033	0.053
			SRS	1.013	0.010	5.000	1.029	0.011	5.500	1.010	0.012	6.000
			RSS	1.002	0.002		1.020	0.002		1.000	0.002
4	5		SRS	1.420	2.113	2.919	1.400	2.327	2.577	1.439	2.224	2.801
			RSS	1.171	0.724		1.124	0.903		1.204	0.794
			SRS	1.022	0.021	1.909	1.051	0.025	1.786	1.014	0.026	2.000
			RSS	1.008	0.011		1.041	0.014		1.003	0.013
	10		SRS	1.195	0.687	7.387	1.175	0.757	6.759	1.216	0.739	7.465
			RSS	1.043	0.093		1.013	0.112		1.049	0.099
			SRS	1.017	0.010	3.333	1.035	0.011	2.750	1.011	0.012	4.000
			RSS	1.003	0.003		1.023	0.004		1.000	0.003
	15		SRS	1.098	0.328	7.810	1.079	0.347	7.229	1.103	0.339	7.370
			RSS	1.014	0.042		0.991	0.048		1.017	0.046
			SRS	1.004	0.007	7.000	1.018	0.007	3.500	1.001	0.008	4.000
			RSS	1.000	0.001		1.015	0.002		0.998	0.002
5	5		SRS	1.376	1.845	4.020	1.364	2.026	3.033	1.393	1.851	3.553
			RSS	1.128	0.459		1.111	0.668		1.155	0.521
			SRS	1.018	0.020	2.222	1.044	0.022	2.000	1.013	0.023	2.300
			RSS	1.005	0.009		1.033	0.011		1.001	0.010
	10		SRS	1.158	0.555	6.768	1.138	0.595	6.198	1.162	0.539	5.923
			RSS	1.036	0.082		1.012	0.096		1.044	0.091
			SRS	1.009	0.009	4.500	1.024	0.010	3.333	1.005	0.010	3.333
			RSS	1.003	0.002		1.021	0.003		1.001	0.003
	15		SRS	1.073	0.241	7.774	1.056	0.248	6.703	1.075	0.245	7.206
			RSS	1.017	0.031		0.998	0.037		1.021	0.034
			SRS	1.004	0.006	6.000	1.015	0.006	3.000	1.000	0.007	7.000
			RSS	1.002	0.001		1.015	0.002		1.000	0.001