Exponential bounds for generalized poisson distributions

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1998 English Publisher:Springer Science and Business Media LLCJournal:Journal of Mathematical Sciences, volume 91, pages 2,984-2,989 (issn: 1072-3374, eissn: 1573-8795,

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Authors: Shorgin, S. Ya.;

doi: 10.1007/bf02432870

Exponential bounds for generalized poisson distributions

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Abstract

The present paper investigates the exponential bounds for the generalized Poisson distributions, i.e. for distributions of random sums of independent random variables with Poisson index. The constructed exponential estimates for the probabilities of large deviations of Poisson random sums are proved to coincide virtually with the similar estimates for the sums with a non-random index.

Related Organizations

Russian Academy of Sciences
Russian Federation

Keywords

Large deviations, generalized Poisson distributions, exponential bounds, large deviations of Poisson random sums

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