TABLE 4 Open in new tab The empirical...

	Unit Weight	Estimated Weight
	Error Model I
200	0.0005	0.1979	0.1899	0.932	0.0006	0.1984	0.1875	0.932	0.9972
300	−0.0048	0.1648	0.1558	0.928	−0.0050	0.1650	0.1545	0.928	0.9988
500	0.0013	0.1164	0.1215	0.960	0.0012	0.1162	0.1208	0.960	1.0017
	Error Model II
200	0.0001	0.1282	0.1263	0.952	0.0006	0.1197	0.1143	0.940	1.0707
300	−0.0041	0.1070	0.1035	0.940	−0.0021	0.0992	0.0939	0.928	1.0789
500	0.0000	0.0774	0.0803	0.954	0.0009	0.0706	0.0733	0.964	1.0959
	Error Model III
200	−0.0007	0.1066	0.1071	0.958	0.0000	0.0918	0.0896	0.956	1.1612
300	−0.0036	0.0901	0.0876	0.940	−0.0013	0.0773	0.0732	0.924	1.1665
500	−0.0003	0.0658	0.0679	0.956	0.0007	0.0550	0.0570	0.964	1.1970
	Error Model IV
200	−0.0018	0.0929	0.0954	0.954	−0.0009	0.0709	0.0715	0.950	1.3100
300	−0.0028	0.0794	0.0779	0.948	−0.0006	0.0602	0.0580	0.932	1.3187
500	−0.0009	0.0597	0.0603	0.950	0.0003	0.0443	0.0451	0.958	1.3481

	Unit Weight	Estimated Weight
	Error Model I
200	0.0005	0.1979	0.1899	0.932	0.0006	0.1984	0.1875	0.932	0.9972
300	−0.0048	0.1648	0.1558	0.928	−0.0050	0.1650	0.1545	0.928	0.9988
500	0.0013	0.1164	0.1215	0.960	0.0012	0.1162	0.1208	0.960	1.0017
	Error Model II
200	0.0001	0.1282	0.1263	0.952	0.0006	0.1197	0.1143	0.940	1.0707
300	−0.0041	0.1070	0.1035	0.940	−0.0021	0.0992	0.0939	0.928	1.0789
500	0.0000	0.0774	0.0803	0.954	0.0009	0.0706	0.0733	0.964	1.0959
	Error Model III
200	−0.0007	0.1066	0.1071	0.958	0.0000	0.0918	0.0896	0.956	1.1612
300	−0.0036	0.0901	0.0876	0.940	−0.0013	0.0773	0.0732	0.924	1.1665
500	−0.0003	0.0658	0.0679	0.956	0.0007	0.0550	0.0570	0.964	1.1970
	Error Model IV
200	−0.0018	0.0929	0.0954	0.954	−0.0009	0.0709	0.0715	0.950	1.3100
300	−0.0028	0.0794	0.0779	0.948	−0.0006	0.0602	0.0580	0.932	1.3187
500	−0.0009	0.0597	0.0603	0.950	0.0003	0.0443	0.0451	0.958	1.3481

TABLE 4

The empirical relative efficiency Eff(γ) of the two-stage estimator using the estimated weight to the estimator using unit weight under model (16) with 20% left censoring and 30% right censoring, n = 200, 300, 500 and formula ⁠. Each entry is based on 500 simulations

	Unit Weight				Estimated Weight
n	Bias	SSE	ESE	CP	Bias	SSE	ESE	CP	Eff(γ)
	Error Model I
200	0.0005	0.1979	0.1899	0.932	0.0006	0.1984	0.1875	0.932	0.9972
300	−0.0048	0.1648	0.1558	0.928	−0.0050	0.1650	0.1545	0.928	0.9988
500	0.0013	0.1164	0.1215	0.960	0.0012	0.1162	0.1208	0.960	1.0017
	Error Model II
200	0.0001	0.1282	0.1263	0.952	0.0006	0.1197	0.1143	0.940	1.0707
300	−0.0041	0.1070	0.1035	0.940	−0.0021	0.0992	0.0939	0.928	1.0789
500	0.0000	0.0774	0.0803	0.954	0.0009	0.0706	0.0733	0.964	1.0959
	Error Model III
200	−0.0007	0.1066	0.1071	0.958	0.0000	0.0918	0.0896	0.956	1.1612
300	−0.0036	0.0901	0.0876	0.940	−0.0013	0.0773	0.0732	0.924	1.1665
500	−0.0003	0.0658	0.0679	0.956	0.0007	0.0550	0.0570	0.964	1.1970
	Error Model IV
200	−0.0018	0.0929	0.0954	0.954	−0.0009	0.0709	0.0715	0.950	1.3100
300	−0.0028	0.0794	0.0779	0.948	−0.0006	0.0602	0.0580	0.932	1.3187
500	−0.0009	0.0597	0.0603	0.950	0.0003	0.0443	0.0451	0.958	1.3481

	Unit Weight				Estimated Weight
n	Bias	SSE	ESE	CP	Bias	SSE	ESE	CP	Eff(γ)
	Error Model I
200	0.0005	0.1979	0.1899	0.932	0.0006	0.1984	0.1875	0.932	0.9972
300	−0.0048	0.1648	0.1558	0.928	−0.0050	0.1650	0.1545	0.928	0.9988
500	0.0013	0.1164	0.1215	0.960	0.0012	0.1162	0.1208	0.960	1.0017
	Error Model II
200	0.0001	0.1282	0.1263	0.952	0.0006	0.1197	0.1143	0.940	1.0707
300	−0.0041	0.1070	0.1035	0.940	−0.0021	0.0992	0.0939	0.928	1.0789
500	0.0000	0.0774	0.0803	0.954	0.0009	0.0706	0.0733	0.964	1.0959
	Error Model III
200	−0.0007	0.1066	0.1071	0.958	0.0000	0.0918	0.0896	0.956	1.1612
300	−0.0036	0.0901	0.0876	0.940	−0.0013	0.0773	0.0732	0.924	1.1665
500	−0.0003	0.0658	0.0679	0.956	0.0007	0.0550	0.0570	0.964	1.1970
	Error Model IV
200	−0.0018	0.0929	0.0954	0.954	−0.0009	0.0709	0.0715	0.950	1.3100
300	−0.0028	0.0794	0.0779	0.948	−0.0006	0.0602	0.0580	0.932	1.3187
500	−0.0009	0.0597	0.0603	0.950	0.0003	0.0443	0.0451	0.958	1.3481

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