Strong Limit Theorems for Pairwise NQD Random Variables

被引:3
|
作者
Sung, Soo Hak [1 ]
机构
[1] Pai Chai Univ, Dept Appl Math, Taejon 302735, South Korea
基金
新加坡国家研究基金会;
关键词
Complete convergence; Dependent random variables; Pairwise NQD random variables; Strong law of large numbers; 60F15; 62G05; DEPENDENCE; CONVERGENCE; SEQUENCES;
D O I
10.1080/03610926.2011.642919
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
A number of strong laws of large numbers for sequences of pairwise negative quadrant dependent (NQD) random variables have been established by using the generalized three series theorem. In this article, we obtain a strong law of large numbers by using the truncation technique and method of subsequences instead of the generalized three series theorem. Our result generalizes and improves on the corresponding one in Li and Yang (2008). We also obtain a complete convergence result for an array of rowwise pairwise NQD random variables.
引用
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页码:3965 / 3973
页数:9
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