The smallest uniform upper bound on the distance between the mean and the median of the binomial and Poisson distributions
type: Item
instance of: scholarly article
title: The smallest uniform upper bound on the distance between the mean and the median of the binomial and Poisson distributions
zbMATH Open document ID: 0819.60017
DOI: 10.1016/0167-7152(94)00090-U
author: K. Hamza
published in: Statistics \& Probability Letters
publication date: 1995-08-21T00:00:00Z
review text: It is shown that for the binomial and Poisson distributions, the distance between the mean and the median is always less than \(\log 2\). It is the best uniform bound since for every \(0 < \varepsilon < \log 2\) there exist binomial and Poisson distributions for which \(| \text{mean} - \text{median} | > \log 2 - \varepsilon\).
reviewed by: Alexander Ulanovskii
Mathematics Subject Classification ID: 60E05
zbMATH DE Number: 761924
zbMATH Keywords: Poisson distribution
Wikidata QID: Q56039131
MaRDI profile type: Publication
cites work: Mean, Median and Mode in Binomial Distributions
cites work: Vergleich der hypergeometrischen mit der Binomial-Verteilung
full work available at URL: 0167-7152(94)00090-u
OpenAlex ID: W2060873943
description: scientific article; zbMATH DE number 761924