Complete Convergence for Maximal Sums of Negatively Associated Random Variables

Necessary and sufficient conditions are given for the complete convergence of maximal sums of identically distributed negatively associated random variables. The conditions are expressed in terms of integrability of random variables. Proofs are based on new maximal inequalities for sums of bounded n...

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Bibliographic Details
Main Author: Victor M. Kruglov
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2010/764043
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