The maximum difference between the binomial and Poisson distributions

DOI10.1016/0167-7152(91)90125-BzbMath0712.62012OpenAlexW2130426610MaRDI QIDQ749070

H. Vincent Poor

Publication date: 1991

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(91)90125-b

zbMATH Keywords

binomial distributionprobability mass functioncumulative distributionExplicit expressionsmaximum errorPoisson approximants

Mathematics Subject Classification ID

Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (2)

A Charlier-Parseval approach to Poisson approximation and its applications ⋮ A probabilistic approach for the study of epidemiological dynamics of infectious diseases: basic model and properties

Cites Work

• The total variation distance between the binomial and Poisson distributions
• A general Poisson approximation theorem
• An approximation theorem for the Poisson binomial distribution
• The Poisson Approximation to the Poisson Binomial Distribution
• Some Elementary Results on Poisson Approximation in a Sequence of Bernoulli Trials
• Approximation der Verteilungen von Summen unabhängiger nichtnegativer ganzzahliger Zufallsgrößen durch Poissonsche Verteilungen

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