An empirical process approach to the uniform consistency of kernel-type function estimators

被引：120

作者：

Einmahl, U ^{[1
]}

Mason, DM

机构：

[1] Free Univ Brussels, Brussels, Belgium

[2] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

来源：

JOURNAL OF THEORETICAL PROBABILITY | 2000年 / 13卷 / 01期

基金：

美国国家科学基金会;

关键词：

empirical process; strongly consistent; estimators;

D O I：

10.1023/A:1007769924157

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We use general empirical process methods to determine under mild regularity conditions exact rates of uniform strong consistency of kernel-type function estimators. In the process a useful new bound on the expectation of the supremum of the empirical process is obtained.

引用

页码：1 / 37

页数：37

共 24 条

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Bosq D., 1987, THEORIE ESTIMATION F

[2]

CHOW YS, 1988, PROBABILITY THEORY I

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