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http://dx.doi.org/10.14317/jami.2012.30.1_2.327

ON CONVERGENCES FOR ARRAYS OF ROWWISE PAIRWISE NEGATIVELY QUADRANT DEPENDENT RANDOM VARIABLES  

Ryu, Dae-Hee (Department of Computer Science, ChungWoon University)
Ryu, Sang-Ryul (Department of Computer Science, ChungWoon University)
Publication Information
Journal of applied mathematics & informatics / v.30, no.1_2, 2012 , pp. 327-336 More about this Journal
Abstract
Let {$X_{ni}$, $i{\geq}1$, $n{\geq}1$} be an array of rowwise and pairwise negatively quadrant dependent random variables with mean zero, {$a_{ni}$, $i{\geq}1$, $n{\geq}1$} an array of weights and {$b_n$, $n{\geq}1$} an increasing sequence of positive integers. In this paper we consider some results concerning complete convergence of ${\sum}_{i=1}^{bn}a_{ni}X_{ni}$.
Keywords
Pairwise negatively quadrant dependence; Complete convergence; Weighted sums; Stochastically dominated;
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