The Berry-Esseen bound for Studentized statistics

被引：1

作者：

Wang, QY ^{[1
]}

Jing, BY

Zhao, LC

机构：

[1] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia

[2] Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China

[3] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

来源：

ANNALS OF PROBABILITY | 2000年 / 28卷 / 01期

关键词：

Berry-Esseen bound; Studentized U-statistic; Studentized L-statistic; Studentized functions of the sample mean;

D O I：

暂无

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 derive Berry-Esseen bounds for a class of Studentized statistics. The results are applied to Studentized U-statistics, Studentized L-statistics and Studentized functions of the sample mean to give the Berry-Esseen bounds under conditions weaker than those obtained by alternative methods.

引用

页码：511 / 535

页数：25

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