A Berry-Esseen theorem and a law of the iterated logarithm for asymptotically negatively associated sequences

被引：26

作者：

Wang, Jian Feng ^{[1
]}

Zhang, Li Xin

机构：

[1] Zhejiang Gongshang Univ, Dept Stat, Hangzhou 310035, Peoples R China

[2] Zhejiang Univ, Dept Math, Hangzhou 310028, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2007年 / 23卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Berry-Esseen theorem; law of the iterated logarithm; negative association; asymptotically negative association;

D O I：

10.1007/s10114-005-0800-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Negatively associated sequences have been studied extensively in recent years. Asymptotically negative association is a generalization of negative association. In this paper a Berry-Esseen theorem and a law of the iterated logarithm are obtained for asymptotically negatively associated sequences.

引用

页码：127 / 136

页数：10

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