Geodesic
A note on Dobrushin's theorem and couplings in
Teoriâ veroâtnostej i ee primeneniâ, Tome 48 (2003) no. 3, pp. 576-583

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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, coupling.
Mots-clés : Poisson point process, Poisson approximation 
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     author = {I. S. Borisov},
     title = {A note on {Dobrushin's} theorem and couplings in},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {576--583},
     publisher = {mathdoc},
     volume = {48},
     number = {3},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2003_48_3_a7/}
}
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I. S. Borisov. A note on Dobrushin's theorem and couplings in. Teoriâ veroâtnostej i ee primeneniâ, Tome 48 (2003) no. 3, pp. 576-583. http://geodesic.mathdoc.fr/item/TVP_2003_48_3_a7/