The strong law of large numbers for pairwise NQD random variables

被引：15

作者：

Wu, Qunying ^{[1
]}

Jiang, Yuanying ^{[1
]}

机构：

[1] Guilin Univ Technol, Coll Sci, Guilin 541004, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2011年 / 24卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Almost sure convergence; pairwise negatively quadrant dependent random variables; strong law of large numbers; DEPENDENT RANDOM-VARIABLES;

D O I：

10.1007/s11424-011-8086-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the almost sure convergence for pairwise negatively quadrant dependent random variables is studied. The strong law of large numbers for pairwise negatively quadrant dependent random variables is obtained. Our results generalize and improve those on almost sure convergence theorems previously obtained by Marcinkiewicz (1937), Jamison (1965), Matula (1992) and Wu (2001) from the independent identically distributed (i.i.d.) case to pairwise NQD sequences.

引用

页码：347 / 357

页数：11

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