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2009 An extension of Mineka's coupling inequality
Anna Posfai
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Electron. Commun. Probab. 14: 464-473 (2009). DOI: 10.1214/ECP.v14-1501


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


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Anna Posfai. "An extension of Mineka's coupling inequality." Electron. Commun. Probab. 14 464 - 473, 2009.


Accepted: 30 October 2009; Published: 2009
First available in Project Euclid: 6 June 2016

zbMATH: 1189.60095
MathSciNet: MR2559096
Digital Object Identifier: 10.1214/ECP.v14-1501

Primary: 60G50
Secondary: 62E17

Keywords: coupon collecting , Mineka coupling , total variation distance , translated compound Poisson approximation

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