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 | |