The total variation distance between the binomial and Poisson distributions
type: Item
instance of: scholarly article
title: The total variation distance between the binomial and Poisson distributions
zbMATH Open document ID: 0664.60027
published in: The Annals of Probability
publication date: 1989-01-01T00:00:00Z
review text: The exact total variation distances are obtained between a binomial distribution with parameters n and p and Poisson distributions with means np and -n log(1-p), for small values of p. It is shown that the latter distance is smaller for \(0<p<c_ n\) and larger for \(c_ n<p<a'_{n0}\), where as \(n\to \infty\), \(nc_ n\to 1.596..\). and \(na'_{n0}\to 3.414..\).
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 62E20
zbMATH DE Number: 4086643
zbMATH Keywords: total variation distances
zbMATH Keywords: binomial distribution
zbMATH Keywords: Poisson distributions
author: Joanne E. Kennedy
author: M. P. Quine
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1176991519
OpenAlex ID: W1966391090
DOI: 10.1214/AOP/1176991519
description: scientific article; zbMATH DE number 4086643