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An extension of Mineka's coupling inequality

   
@article{ECP1501,
	author = {Anna Posfai},
	title = {An extension of Mineka's coupling inequality},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {14},
	year = {2009},
	keywords = {Mineka coupling; translated compound Poisson approximation; total variation distance; coupon collecting},
	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 $\text{Var} W\gg n$.},
	pages = {no. 45, 464-473},
	issn = {1083-589X},
	doi = {10.1214/ECP.v14-1501},    
        url = {http://ecp.ejpecp.org/article/view/1501}}