On the strong law for asymptotically almost negatively associated random variables

被引：9

作者：

Kim, TS ^{[1
]}

Ko, MH

Lee, IH

机构：

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

[2] Wonkwang Univ, Inst Basic Sci, Jeonbuk 570749, South Korea

[3] Seoul Natl Univ, Stat Res Ctr Complex Syst, Seoul 151742, South Korea

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2004年 / 34卷 / 03期

关键词：

Hajeck-Renyi inequality; asymptotically almost negatively associated; strong law of large numbers; negatively associated;

D O I：

10.1216/rmjm/1181069838

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper the Hajeck-Renyi type inequality for asymptotically almost negatively associated (AANA) random variables is derived and the strong law of large numbers is obtained by applying this inequality. The strong laws of large numbers for weighted sums of AANA random variables are also considered.

引用

页码：979 / 989

页数：11

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