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.
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收藏
页数：14
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