Table 1.

Simulation results of estimating the cdf under stable disease incidence (θ = 0). EMP represents the empirical distribution estimate, PH represents the proposed semiparametric estimator based on proportional hazards model, AFT represents the proposed estimator based on accelerated failure time model. Bias represents the empirical bias, SSE represents the sampling standard error, and CI.L and CI.U represent the averaged lower and upper limits of 95% confidence intervals, respectively.

Estimator\z		0.2	0.4	0.6	0.8
(a) n = 200
EMP	Bias	−0.036	−0.054	−0.055	−0.036
PH	Bias	0.002	0.000	0.000	−0.002
	SSE	0.076	0.078	0.065	0.043
	CI.L	0.103	0.271	0.477	0.708
	CI.U	0.358	0.565	0.732	0.878
AFT	Bias	0.003	0.006	0.005	0.005
	SSE	0.033	0.037	0.037	0.028
	CI.L	0.141	0.329	0.530	0.747
	CI.U	0.268	0.482	0.677	0.857
(b) n = 400
EMP	Bias	−0.035	−0.054	−0.054	−0.036
PH	Bias	0.001	0.001	0.001	0.001
	SSE	0.044	0.051	0.046	0.032
	CI.L	0.130	0.308	0.508	0.729
	CI.U	0.299	0.509	0.692	0.859
AFT	Bias	0.001	0.002	0.002	0.002
	SSE	0.022	0.027	0.026	0.020
	CI.L	0.159	0.349	0.549	0.760
	CI.U	0.245	0.455	0.653	0.841