Geodesic
Approximation by the compound Poisson law
Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 3, pp. 583-589

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We consider a specification of the convergence of distributions of sums of independent nonnegative integer random variables to the compound Poisson distribution. The theorems of large deviations and asymptotic expansion under some weak conditions are proved.
Keywords: sums of independent random variables, compound Poisson distribution, large deviations, asymptotic expansions.
Mots-clés : limit distribution, Poisson distribution 
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     author = {A. K. Aleshkyavichene and V. Statulevi\v{c}ius},
     title = {Approximation by the compound {Poisson} law},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {583--589},
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     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2004_49_3_a7/}
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A. K. Aleshkyavichene; V. Statulevičius. Approximation by the compound Poisson law. Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 3, pp. 583-589. http://geodesic.mathdoc.fr/item/TVP_2004_49_3_a7/