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. Author manuscript; available in PMC: 2012 Dec 6.
Published in final edited form as: Biometrics. 2012 Feb 7;68(2):521–531. doi: 10.1111/j.1541-0420.2011.01708.x

Table 2.

Simulation results of estimating the cdf under nonstable disease incidence(θ = 0.5). 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 −0.053 −0.079 −0.078 −0.051
PH Bias −0.001 0.001 0.003 0.001
SSE 0.082 0.081 0.065 0.040
CI.L 0.101 0.278 0.491 0.722
CI.U 0.347 0.557 0.724 0.874
AFT Bias −0.020 −0.025 −0.021 −0.012
SSE 0.031 0.039 0.038 0.029
CI.L 0.118 0.297 0.503 0.730
CI.U 0.242 0.453 0.655 0.846
(b) n = 400

EMP Bias −0.054 −0.080 −0.078 −0.052
PH Bias 0.000 0.000 −0.001 −0.001
SSE 0.058 0.056 0.043 0.028
CI.L 0.122 0.308 0.518 0.745
CI.U 0.316 0.518 0.690 0.853
AFT Bias −0.019 −0.023 −0.019 −0.010
SSE 0.022 0.027 0.026 0.021
CI.L 0.137 0.323 0.529 0.748
CI.U 0.225 0.431 0.633 0.832