Uniform in Bandwidth Estimation of Integral Functionals of the Density Function

被引：26

作者：

Gine, Evarist ^{[1
]}

Mason, David M. ^{[2
]}

机构：

[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

[2] Univ Delaware, Stat Program, Newark, DE 19716 USA

来源：

SCANDINAVIAN JOURNAL OF STATISTICS | 2008年 / 35卷 / 04期

关键词：

kernel density estimator; uniform in bandwidth; U-statistics;

D O I：

10.1111/j.1467-9469.2008.00600.x

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 apply recent results on local U-statistics to obtain uniform in bandwidth consistency and central limit theorems for some commonly used estimators of integral functionals of density functions.

引用

页码：739 / 761

页数：23

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