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Teoriya Veroyatnostei i ee Primeneniya, 2003, Volume 48, Issue 3, Pages 576–583
DOI: https://doi.org/10.4213/tvp271 (Mi tvp271) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Short Communications

A note on Dobrushin's theorem and couplings in poisson approximation in abelian groups

I. S. Borisov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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DOI: https://doi.org/10.4213/tvp271
Abstract: A more general version of Dobrushin's result connected with an optimal coupling of two random variables is proven. An application to the problem of Poisson approximation in Abelian groups is considered. In particular, an optimal coupling in Poisson approximation of empirical processes is studied.
Keywords: Monge–Kantorovich problem, duality theorem, Abelian group, empirical process, empirical measure, Poisson point process, Poisson approximation, coupling.
Received: 16.12.2002
English version:
Theory of Probability and its Applications, 2004, Volume 48, Issue 3, Pages 521–528
DOI: https://doi.org/10.1137/S0040585X97980579
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. S. Borisov, “A note on Dobrushin's theorem and couplings in poisson approximation in abelian groups”, Teor. Veroyatnost. i Primenen., 48:3 (2003), 576–583; Theory Probab. Appl., 48:3 (2004), 521–528
Citation in format AMSBIB
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  • https://doi.org/10.4213/tvp271
  • https://www.mathnet.ru/eng/tvp/v48/i3/p576
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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