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 Electronic Communications in Probability > Vol. 14 (2009) > Paper 45 open journal systems 


An extension of Mineka's coupling inequality

Anna Posfai, University of Szeged


Abstract
In this paper we propose a refinement of Mineka's coupling inequality that gives a better upper bound for $d_{TV}left({cal L}left(Wright),{cal L}left(W+1right)right)$, where $W$ is a sum of $n$ independent integer valued random variables, in the case when $var Wgg n$.


Full text: PDF

Pages: 464-473

Published on: October 30, 2009


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Electronic Communications in Probability. ISSN: 1083-589X