Complete Convergence for Weighted Sums and Arrays of Rowwise Extended Negatively Dependent Random Variables

被引：58

作者：

Wang, Xuejun ^{[1
]}

Hu, Tien-Chung ^{[2
]}

Volodin, Andrei ^{[3
]}

Hu, Shuhe ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230039, Peoples R China

[2] Natl Tsing Hua Univ, Dept Math, Hsinchu 30043, Taiwan

[3] Univ Regina, Dept Math & Stat, Regina, SK S4S 0A2, Canada

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2013年 / 42卷 / 13期

基金：

加拿大自然科学与工程研究理事会; 中国国家自然科学基金;

关键词：

Complete convergence; Extended negatively dependent sequence; Negatively dependent; INDEPENDENT RANDOM-VARIABLES; MOMENT GENERATING FUNCTIONS; TAIL PROBABILITIES; QUADRATIC FORMS; LARGE NUMBERS; RATES; LAW;

D O I：

10.1080/03610926.2011.609321

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：

In this article, we study the complete convergence for weighted sums of extended negatively dependent random variables and row sums of arrays of rowwise extended negatively dependent random variables. We apply two methods to prove the results: the first of is based on exponential bounds and second is based on the generalization of the classical moment inequality for extended negatively dependent random variables.

引用

页码：2391 / 2401

页数：11

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