A Strong Limit Theorem for Weighted Sums of Negatively Dependent Random Variables

被引：3
|
作者：
Sung, Soo Hak [1 ]
机构：
[1] Pai Chai Univ, Dept Appl Math, Taejon 302735, South Korea
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2015年 / 44卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Almost sure convergence; Complete convergence; Dependent random variables; Negatively dependent random variables; Strong law; Weighted sum; SURE CONVERGENCE; STRONG LAWS;
D O I：
10.1080/03610926.2012.742111
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 establish a new complete convergence theorem for weighted sums of negatively dependent random variables. As corollaries, many results on the almost sure convergence and complete convergence for weighted sums of negatively dependent random variables are obtained. In particular, the results of Jing and Liang (2008), Sung (2012), and Wu (2010) can be obtained.
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页码：428 / 439
页数：12
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