Strong Uniform Consistency of k-Nearest Neighbor Regression Function Estimators

被引：0

作者：

秦更生

成平

机构：

[1] Chengdu 610064

[2] Beijing 100080

[3] Institute of Systems Science

[4] Department of Mathematics

[5] PRC

[6] Academia Sinica

[7] Sichuan University

来源：

Science China Mathematics | 1994年 / 09期

基金：

中国国家自然科学基金;

关键词：

strong uniform consistency; k-nearest neighbor weights; class K method; censored data;

D O I：

暂无

中图分类号：

O241 [数值分析];

学科分类号：

070102 ;

摘要：

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.

引用

页码：1032 / 1040

页数：9

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