Weak laws of large numbers for arrays under a condition of uniform integrability

被引：29
|
作者：
Sung, Soo Hak [1 ]
Lisawadi, Supranee [2 ]
Volodin, Andrei [2 ]
机构：
[1] Pai Chai Univ, Dept Appl Math, Taejon 302735, South Korea
[2] Univ Regina, Dept Math & Stat, Regina, SK S4S 0A2, Canada
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2008年 / 45卷 / 01期
关键词：
uniform integrability; weak law of large numbers; r-mean convergence; convergence in probability; martingale difference sequence; negative association; negative dependence;
D O I：
10.4134/JKMS.2008.45.1.289
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For an array of dependent random variables satisfying a new notion of uniform integrability, weak laws of large numbers are obtained. Our results extend and sharpen the known results in the literature.
引用
收藏
页码：289 / 300
页数：12
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