ON THE STRONG LAW OF LARGE NUMBERS FOR WEIGHTED SUMS OF NEGATIVELY SUPERADDITIVE DEPENDENT RANDOM VARIABLES

被引：4

作者：

Shen, Aiting ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2016年 / 53卷 / 01期

基金：

中国国家自然科学基金;

关键词：

COMPLETE CONVERGENCE; STRONG CONSISTENCY; QUADRATIC-FORMS; ARRAYS; INEQUALITIES;

D O I：

10.4134/JKMS.2016.53.1.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let {X-n, n >= 1} be a sequence of negatively superadditive dependent random variables. In the paper, we study the strong law of large numbers for general weighted sums 1/g(n) Sigma(n)(i=1) X-i/h(i) of negatively sui peradditive dependent random variables with non-identical distribution. Some sufficient conditions for the strong law of large numbers are provided. As applications, the Kolmogorov strong law of large numbers and Marcinkiewicz-Zygmund strong law of large numbers for negatively superadditive dependent random variables are obtained. Our results generalize the corresponding ones for independent random variables and negatively associated random variables.

引用

页码：45 / 55

页数：11