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

Title & Authors
ON THE STRONG LAW OF LARGE NUMBERS FOR WEIGHTED SUMS OF ARRAYS OF ROWWISE NEGATIVELY DEPENDENT RANDOM VARIABLES
Baek, Jong-Il; Seo, Hye-Young; Lee, Gil-Hwan; Choi, Jeong-Yeol;

Abstract
Let {$\small{X_{ni}}$ | $\small{1{\leq}i{\leq}n,\;n{\geq}1}$} be an array of rowwise negatively dependent (ND) random variables. We in this paper discuss the conditions of $\small{{\sum}^n_{t=1}a_{ni}X_{ni}{\rightarrow}0}$ completely as $\small{n{\rightarrow}{\infty}}$ under not necessarily identically distributed setting and the strong law of large numbers for weighted sums of arrays of rowwise negatively dependent random variables is also considered.
Keywords
complete convergence;Negatively dependent random variables;arrays;uniformly bounded random variable;strong convergence;weak convergence;
Language
English
Cited by
1.
On the complete convergence for arrays of rowwise ψ-mixing random variables, Journal of Inequalities and Applications, 2013, 2013, 1, 393
2.
An inequality of widely dependent random variables and its applications*, Lithuanian Mathematical Journal, 2016, 56, 1, 16
3.
The Strong Law of Large Numbers for Extended Negatively Dependent Random Variables, Journal of Applied Probability, 2010, 47, 04, 908
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