Fixed Design Nonparametric Regression with Truncated and Censored Data

作     者：Liu-quan SunAcademy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China 

作者机构：Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2003年第19卷第2期

页      面：229-238页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：Partially supported by the National Natural Science Foundation of China (No.10071092) 

主　　题：Keywords Nonparametric regression fixed design asymptotic representation truncated and censored data modulus of continuity 

摘      要：Abstract In this paper we consider a fixed design model in which the observations are subject to left truncation and right censoring. A generalized product-limit estimator for the conditional distribution at a given covariate value is proposed, and an almost sure asymptotic representation of this estimator is established. We also obtain the rate of uniform consistency, weak convergence and a modulus of continuity for this estimator. Applications include trimmed mean and quantile function *** applications demonstrate the usefulness of the new matrix products.