The total variation distance between the binomial and Poisson distributions

DOI10.1214/aop/1176991519zbMath0664.60027OpenAlexW1966391090MaRDI QIDQ1114994

Joanne Kennedy, Malcolm Quine

Publication date: 1989

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176991519

zbMATH Keywords

binomial distributionPoisson distributionstotal variation distances

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05)

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A Charlier-Parseval approach to Poisson approximation and its applications ⋮ The Kolmogorov distance between the binomial and Poisson laws: efficient algorithms and sharp estimates ⋮ Eine Verschärfung der Schranke von LeCam zur Poisson-Approximation von Gesamtschadenverteilungen im individuellen Modell ⋮ Exact Kolmogorov and total variation distances between some familiar discrete distributions ⋮ Exact values and sharp estimates for the total variation distance between binomial and Poisson distributions ⋮ The maximum difference between the binomial and Poisson distributions ⋮ Exact and approximate runs distributions ⋮ On the Poisson approximation for some multinomial distributions ⋮ On the accuracy of approximation of the binomial distribution by the Poisson law

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