Poisson approximation for large deviations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1990 English Publisher:WileyJournal:Random Structures & Algorithms, volume 1, pages 221-229 (issn: 1042-9832, eissn: 1098-2418,

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Authors: Svante Janson;

doi: 10.1002/rsa.3240010209

Poisson approximation for large deviations

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Abstract

AbstractUpper and lower bounds are given for P(S ≤ k), 0 ≤ k ≤ ES, where S is a sum of indicator variables with a special structure, which appears, for example, in subgraph counts in random graphs. in typical cases, these bounds are close to the corresponding probabilities for a Poisson distribution with the same mean as S. There are no corresponding general bounds for P(S ≥ k), k > ES, but some partial results are given.

Related Organizations

Uppsala University
Sweden

Keywords

Large deviations, Random graphs (graph-theoretic aspects), Poisson distribution, Distribution theory, random graphs

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