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

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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.

Original languageEnglish
Pages (from-to)21-25
Number of pages5
JournalStatistics and Probability Letters
Volume23
Issue number1
DOIs
Publication statusPublished - 1 Jan 1995

Keywords

  • Binomial distribution
  • Median
  • Poisson distribution

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