Almost everywhere convergence for sequences of pairwise NQD random variables

被引：2
|
作者：
Yang, Weiguo [1 ]
Zhu, Daying [1 ]
Gao, Rong [2 ]
机构：
[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Peoples R China
[2] Tsinghua Univ, Dept Math Sci, Beijing, Peoples R China
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2017年 / 46卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Almost everywhere convergence; Generalized three-series theorem; Pairwise negatively quadrant dependent (NQD) random variables; DEPENDENT RANDOM-VARIABLES; WEIGHTED SUMS; SURE CONVERGENCE; LIMIT-THEOREMS; ARRAYS; LAW;
D O I：
10.1080/03610926.2015.1048883
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this article, we are going to study the almost everywhere convergence for sequences of pairwise negatively quadrant dependent random variables by using truncation technique and Kolmogorov-type generalized three-series theorem. Our results generalize and improve the corresponding results of Wu (2002) and Li and Yang (2008). We also give some examples showing that our extensions are not trivial.
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页码：2494 / 2505
页数：12
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