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An extension of Mineka's coupling inequality


 
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1. Title Title of document An extension of Mineka's coupling inequality
 
2. Creator Author's name, affiliation, country Anna Posfai; University of Szeged
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Mineka coupling; translated compound Poisson approximation; total variation distance; coupon collecting
 
3. Subject Subject classification 60G50; 62E17
 
4. Description 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 $\text{Var} W\gg n$.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2009-10-30
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1501
 
10. Identifier Digital Object Identifier 10.1214/ECP.v14-1501
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 14
 
12. Language English=en
 
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