An approximation theorem for the Poisson binomial distribution

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Uniform asymptotics of Poisson approximation to the Poisson-binomial distribution

New uniform asymptotic approximations with error bounds are derived for a generalized total variation distance of Poisson approximations to the Poisson-binomial distribution. The method of proof is also applicable to other Poisson approximation problems. MSC 2000 Subject Classifications: Primary 62E17; secondary 60C05.

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ژورنال

عنوان ژورنال: Pacific Journal of Mathematics

سال: 1960

ISSN: 0030-8730,0030-8730

DOI: 10.2140/pjm.1960.10.1181