On the complete convergence for weighted sums of dependent random variables under condition of weighted integrability

被引：4

作者：

Baek, Jong-Il ^{[1
]}

Ko, Mi-Hwa ^{[1
,2
]}

Kim, Tae-Sung ^{[1
]}

机构：

[1] WonKwang Univ, Dept Math, Jeonbuk 570749, South Korea

[2] WonKwang Univ, Inst Nat Sci, Jeonbuk 570749, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2008年 / 45卷 / 04期

关键词：

complete convergence; strong law of large numbers; h-integrability; asymptotically almost negative associated; negatively quadrant dependent; phi-mixing;

D O I：

10.4134/JKMS.2008.45.4.1101

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under the condition of h-integrability and appropriate conditions on the array of weights, we establish complete convergence and strong law of large numbers for weighted sums of an array of dependent random variables.

引用

页码：1101 / 1111

页数：11

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