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Asymptotic Expansions in the Compound Poisson Limit Theorem |
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| Authors: | B. Grigelionis |
| Affiliation: | (1) Institute of Mathematics and Informatics, Akademijos 4, LT-2600 Vilnius, and;(2) Vilnius University, Naugarduko 24, LT-2006 Vilnius, Lithuania. e-mail |
| Abstract: | A triangular array of independent infinitesimal integer-valued random variables is considered. Asymptotic expansions for the probability distributions of sums of these variables are investigated in the case of the limiting compound Poisson laws. |
| Keywords: | compound Poisson distribution triangular array asymptotic expansion characteristic function generalized Poisson distribution |
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