Table 2.
Simulation results for accelerated failure time cure model.
| Case I (γ01 = 0.5) | Proposed | ZP | |||||
|---|---|---|---|---|---|---|---|
| Parameters | Bias | SD | SE | CP | Bias | SD | RE |
| extreme value error | |||||||
| β0 | 0.017 | 0.220 | 0.220 | 0.938 | 0.015 | 0.197 | 1.247 |
| γ01 | 0.020 | 0.322 | 0.335 | 0.960 | 0.012 | 0.305 | 1.112 |
| γ02 | 0.026 | 0.466 | 0.479 | 0.942 | 0.030 | 0.452 | 1.064 |
| logistic error | |||||||
| β0 | 0.018 | 0.138 | 0.158 | 0.964 | 0.013 | 0.154 | 0.801 |
| γ01 | 0.012 | 0.314 | 0.322 | 0.960 | 0.016 | 0.316 | 0.988 |
| γ02 | 0.023 | 0.462 | 0.465 | 0.950 | 0.021 | 0.470 | 0.965 |
| normal error | |||||||
| β0 | 0.031 | 0.176 | 0.182 | 0.948 | 0.004 | 0.190 | 0.859 |
| γ01 | 0.028 | 0.321 | 0.317 | 0.958 | 0.009 | 0.321 | 0.999 |
| γ02 | 0.003 | 0.483 | 0.457 | 0.940 | 0.032 | 0.471 | 1.052 |
| Case II (γ01 = 1.0) | Proposed | ZP | |||||
| extreme value error | |||||||
| β0 | 0.018 | 0.178 | 0.202 | 0.962 | 0.005 | 0.179 | 0.992 |
| γ01 | 0.035 | 0.375 | 0.369 | 0.944 | 0.031 | 0.341 | 1.208 |
| γ02 | 0.014 | 0.542 | 0.518 | 0.938 | −0.008 | 0.503 | 1.163 |
| logistic error | |||||||
| β0 | 0.015 | 0.127 | 0.142 | 0.970 | 0.007 | 0.143 | 0.790 |
| γ01 | 0.035 | 0.344 | 0.356 | 0.966 | 0.037 | 0.349 | 0.971 |
| γ02 | −0.002 | 0.521 | 0.498 | 0.934 | −0.008 | 0.536 | 0.946 |
| normal error | |||||||
| β0 | 0.012 | 0.145 | 0.162 | 0.962 | 0.017 | 0.160 | 0.820 |
| γ01 | 0.041 | 0.366 | 0.355 | 0.958 | 0.036 | 0.370 | 0.980 |
| γ02 | 0.040 | 0.534 | 0.502 | 0.940 | 0.040 | 0.529 | 1.018 |
SD, sample standard deviation of parameter estimates; SE, mean of estimated standard errors; CP, coverage probability; RE, relative efficiency of Zhang and Peng’s estimator (ZP) compared with the proposed estimator (Proposed).