Department of Statistics, Faculty of Computational Mathematics and Cybernetics, Moscow State University, Vorobyovy Gory, GSP-1, 119992, Moscow, Russia
Copyright © 2010 Victor M. Kruglov. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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 negatively associated random variables.