Geodesic
Approximation by Poisson law
Discussiones Mathematicae. Probability and Statistics, Tome 25 (2005) no. 2, pp. 161-179

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We present here the results of the investigation on approximation by the Poisson law of distributions of sums of random variables in the scheme of series. We give the results pertaining to the behaviour of large deviation probabilities and asymptotic expansions, to the method of cumulants, with the aid of which our results have been obtained.
Keywords: Poisson distribution, compound Poisson distribution, asymptotic expansions, large deviations, cumulants 
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Aleškevičienė, Aldona; Statulevičius, Vytautas. Approximation by Poisson law. Discussiones Mathematicae. Probability and Statistics, Tome 25 (2005) no. 2, pp. 161-179. http://geodesic.mathdoc.fr/item/DMPS_2005_25_2_a1/