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http://dx.doi.org/10.14403/jcms.2017.30.4.411

COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE ASYMPTOTICALLY NEGATIVELY ASSOCIATED RANDOM VARIABLES  

Kim, Hyun-Chull (Department of Mathematics Education Sehan University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.30, no.4, 2017 , pp. 411-422 More about this Journal
Abstract
Let {$X_{ni}$, $i{\geq}1$, $n{\geq}1$} be an array of rowwise asymptotically negatively associated random variables and {$a_{ni}$, $i{\geq}1$, $n{\geq}1$} an array of constants. Some results concerning complete convergence of weighted sums ${\sum}_{i=1}^{n}a_{ni}X_{ni}$ are obtained. They generalize some previous known results for arrays of rowwise negatively associated random variables to the asymptotically negative association case.
Keywords
asymptotically negative association; complete convergence; slowly varying function; stochastically dominated; weighted sum;
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