Complete convergence and complete moment convergence for weighted sums of m-NA random variables

被引：9

作者：

Wu, Yongfeng ^{[1
]}

Hu, Tien-Chung ^{[2
]}

Volodin, Andrei ^{[3
]}

机构：

[1] Tongling Univ, Coll Math & Comp Sci, Tongling 244000, Peoples R China

[2] Natl Tsing Hua Univ, Dept Math, Hsinchu 300, Taiwan

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

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

complete convergence; complete moment convergence; weighted sums; m-negatively associated random variable; STRONG LAWS; ARRAYS; INEQUALITIES;

D O I：

10.1186/s13660-015-0717-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors study the complete convergence and the complete moment convergence for weighted sums of m-negatively associated (m-NA) random variables and obtain some new results. These results extend and improve the corresponding theorems of Sung (Stat. Pap. 52: 447-454, 2011). In addition, we point out that an open problem presented in Sung (Stat. Pap. 54: 773-781, 2013) can be solved by means of the method used in this paper.

引用

页数：14

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