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THE ALMOST SURE CONVERGENCE FOR THE IDENTICALLY DISTRIBUTED NEGATIVELY ASSOCIATED RANDOM VARIABLES WITH INFINITE MEANS  

Kim, Hyun-Chull (Department of Mathematics Education Daebul University)
Publication Information
Journal of applied mathematics & informatics / v.28, no.1_2, 2010 , pp. 363-372 More about this Journal
Abstract
In this paper we prove the almost sure convergence of partial sums of identically distributed and negatively associated random variables with infinite expectations. Some results in Kruglov[Kruglov, V., 2008 Statist. Probab. Lett. 78(7) 890-895] are considered in the case of negatively associated random variables.
Keywords
Borel-Cantelli lemma; infinitely often; pairwise negative quadrant dependence; negative association; infinite means;
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