Strong Uniform Consistency of k-Nearest Neighbor Regression Function Estimators  

作　　者：秦更生 成平 

机构地区：[1]Department of Mathematics, Sichuan University, Chengdu 610064, PRC [2]Institute of Systems Science, Academia Sinica, Beijing 100080, PRC

出　　处：《Science China Mathematics》1994年第9期1032-1040,共9页中国科学：数学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China.

摘　　要：<正> For a wide class of nonparametric regression functions, the nearest neighbor estimator is constructed, and the uniform measure of deviation from the estimator to the regression function is studied. Under some mild conditions, it is shown that the estimators are uniformly strongly consistent for both randomly complete data and censored data.For a wide class of nonparametric regression functions, the nearest neighbor estimator is constructed, and the uniform measure of deviation from the estimator to the regression function is studied. Under some mild conditions, it is shown that the estimators are uniformly strongly consistent for both randomly complete data and censored data.

关 键 词：STRONG UNIFORM CONSISTENCY k-nearest NEIGHBOR WEIGHTS class K method censored data. 

分 类 号：O241[理学—计算数学]