On Complete Convergence for Weighted Sums of Arrays of Dependent Random Variables

被引：6

作者：

Sung, Soo Hak ^{[1
]}

机构：

[1] Pai Chai Univ, Dept Appl Math, Taejon 302735, South Korea

来源：

ABSTRACT AND APPLIED ANALYSIS | 2011年

基金：

新加坡国家研究基金会;

关键词：

VALUED RANDOM ELEMENTS; INEQUALITIES;

D O I：

10.1155/2011/630583

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A rate of complete convergence for weighted sums of arrays of row wise independent random variables was obtained by Sung and Volodin (2011). In this paper, we extend this result to negatively associated and negatively dependent random variables. Similar results for sequences of phi-mixing and rho*-mixing random variables are also obtained. Our results improve and generalize the results of Baek et al. (2008), Kuczmaszewska (2009), and Wang et al. (2010).

引用

页数：11

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