删失数据半参数回归模型的样条估计量的渐近正态性

摘要

In the article, we consider a semiparametric regression model with censored data.By using spline smoothing and the synthetic data methods, the estimators of parameter β and nonparameter h(t) are given, the asymptotic normality of the parametric estimator is investigated,which extend the result in the case of complete data [4].%本文研究了删失数据半参数回归模型的渐近正态性问题.利用样条光顺和合成数据的方法,获得了参数β、非参数h(t)的样条估计量,以及参数估计量的渐近正态性,推广了完全数据情形的相应结果[4].