TABLE 1.

Summary statistics for the simulation studies with length-biased assumption

		NPMLE					CLE
		Bias	SE	SEE	RMSE	CP	Bias	SE	SEE	RMSE	CP
n=100	β 1	0.008	0.169	0.171	0.169	0.956	0.049	0.253	0.235	0.258	0.928
	β 2	0.015	0.295	0.317	0.295	0.965	0.089	0.444	0.436	0.453	0.942
n=200	β 1	0.004	0.117	0.116	0.117	0.950	0.025	0.170	0.159	0.172	0.933
	β 2	0.005	0.206	0.212	0.206	0.957	0.044	0.296	0.290	0.299	0.943
n=400	β 1	0.002	0.082	0.081	0.082	0.944	0.014	0.115	0.111	0.116	0.937
	β 2	0.002	0.144	0.146	0.144	0.951	0.024	0.200	0.199	0.202	0.949

Note: NPMLE and CLE are the nonparametric maximum likelihood and conditional likelihood estimators. SE, SEE, RMSE, and CP are the empirical standard error, mean standard error estimator, root mean squared error, and empirical coverage probability of the 95% confidence interval, respectively.