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

页码：289 / 300

页数：12

共 14 条

[11] Ordonez Cabrera M, 1994, COLLECT MATH, V45, P121
[12] A comparison theorem on moment inequalities between negatively associated and independent random variables
Shao, QM
[J]. JOURNAL OF THEORETICAL PROBABILITY, 2000, 13 (02) : 343 - 356
[13] On the weak laws for arrays of random variables
Sung, SH
Hu, TC
Volodin, A
[J]. STATISTICS & PROBABILITY LETTERS, 2005, 72 (04) : 291 - 298
[14] Weak law of large numbers for arrays of random variables
Sung, SH
[J]. STATISTICS & PROBABILITY LETTERS, 1999, 42 (03) : 293 - 298

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