删失数据半参数回归模型的样条估计量的渐近正态性(英文)  

ASYMPTOTIC NORMALITY OF SPLINE ESTIMATORS IN A SEMIPARAMETRIC REGRESSION MODEL WITH CENSORED DATA

作　　者：胡宏昌[1] 张捷[1] 

机构地区：[1]湖北师范学院数学与统计学院,湖北黄石435002

出　　处：《数学杂志》2011年第4期621-625,共5页Journal of Mathematics

基　　金：Supported by Scientific Research Item of Department of Education,Hubei(D20092207);the Key Project of Chinese Ministry of Education(209078)

摘　　要：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].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].

关 键 词：半参数回归模型 样条估计 删失数据 渐近正态性 

分 类 号：O212.1[理学—概率论与数理统计]