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This article is cited in 1 scientific paper (total in 1 paper)
Short Communications
Approximation by the compound Poisson law
A. K. Aleshkyavichene, V. Statulevičius Institute of Mathematics and Informatics
Abstract:
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, limit distribution, Poisson distribution, compound Poisson distribution, large deviations, asymptotic expansions.
Received: 15.03.2004
Citation:
A. K. Aleshkyavichene, V. Statulevičius, “Approximation by the compound Poisson law”, Teor. Veroyatnost. i Primenen., 49:3 (2004), 583–589; Theory Probab. Appl., 49:3 (2005), 519–526
Linking options:
https://www.mathnet.ru/eng/tvp208https://doi.org/10.4213/tvp208 https://www.mathnet.ru/eng/tvp/v49/i3/p583
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Abstract page: | 296 | Full-text PDF : | 131 | References: | 82 |
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