Abstract
In this paper we propose a refinement of Mineka's coupling inequality that gives a better upper bound for $d_{TV}\left({\cal L}\left(W\right),{\cal L}\left(W+1\right)\right)$, where $W$ is a sum of $n$ independent integer valued random variables, in the case when $\text{Var} W\gg n$.
Citation
Anna Posfai. "An extension of Mineka's coupling inequality." Electron. Commun. Probab. 14 464 - 473, 2009. https://doi.org/10.1214/ECP.v14-1501
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