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http://dx.doi.org/10.4134/JKMS.2009.46.4.827

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

Baek, Jong-Il (SCHOOL OF MATHEMATICS AND INFORMATIONAL STATISTICS AND BASIC NATURAL SCIENCE WONKWANG UNIVERSITY)
Seo, Hye-Young (SCHOOL OF MATHEMATICS AND INFORMATIONAL STATISTICS AND BASIC NATURAL SCIENCE WONKWANG UNIVERSITY)
Lee, Gil-Hwan (SCHOOL OF MATHEMATICS AND INFORMATIONAL STATISTICS AND BASIC NATURAL SCIENCE WONKWANG UNIVERSITY)
Choi, Jeong-Yeol (SCHOOL OF MATHEMATICS AND INFORMATIONAL STATISTICS AND BASIC NATURAL SCIENCE WONKWANG UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.46, no.4, 2009 , pp. 827-840 More about this Journal
Abstract
Let {$X_{ni}$ | $1{\leq}i{\leq}n,\;n{\geq}1$} be an array of rowwise negatively dependent (ND) random variables. We in this paper discuss the conditions of ${\sum}^n_{t=1}a_{ni}X_{ni}{\rightarrow}0$ completely as $n{\rightarrow}{\infty}$ 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;
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