The smallest uniform upper bound on the distance between the mean and the median of the binomial and Poisson distributions

Kais Hamza

doi:10.1016/0167-7152(94)00090-U

The smallest uniform upper bound on the distance between the mean and the median of the binomial and Poisson distributions

Kais Hamza

School of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

32 Citations (Scopus)

Abstract

We show that for the binomial and Poisson distributions, the distance between the mean and the median is always less than ln 2.

Original language	English
Pages (from-to)	21-25
Number of pages	5
Journal	Statistics and Probability Letters
Volume	23
Issue number	1
DOIs	https://doi.org/10.1016/0167-7152(94)00090-U
Publication status	Published - 1 Jan 1995

Keywords

Binomial distribution
Median
Poisson distribution

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10.1016/0167-7152(94)00090-U

Cite this

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abstract = "We show that for the binomial and Poisson distributions, the distance between the mean and the median is always less than ln 2.",

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AB - We show that for the binomial and Poisson distributions, the distance between the mean and the median is always less than ln 2.

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KW - Poisson distribution

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The smallest uniform upper bound on the distance between the mean and the median of the binomial and Poisson distributions

Abstract

Keywords

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