Survival Analysis Nonparametric Estimation of Multiplicative Counting Process Intensity Functions with an Application to the Beijing SARS Epidemic

@inproceedings{Chen2008SurvivalAN,
  title={Survival Analysis Nonparametric Estimation of Multiplicative Counting Process Intensity Functions with an Application to the Beijing SARS Epidemic},
  author={Feng Chen and Richard M. Huggins and Paul S. F. Yip and Kwok Fai Lam},
  year={2008}
}
The local polynomial methods and martingale estimating equations are used to develop closed form estimators of the intensity function and its derivatives for multiplicative counting process models. The consistency and asymptotic normality of the estimators are established. The estimator generalizes that proposed by RamlauHansen (1983) with a smaller bias than the Ramlau-Hansen intensity estimator. The derivative estimators give smoother estimates than the Ramlau-Hansen derivative estimators… CONTINUE READING