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

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  • Hamza, Kais

Abstract

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

Suggested Citation

  • Hamza, Kais, 1995. "The smallest uniform upper bound on the distance between the mean and the median of the binomial and Poisson distributions," Statistics & Probability Letters, Elsevier, vol. 23(1), pages 21-25, April.
    • Handle: RePEc:eee:stapro:v:23:y:1995:i:1:p:21-25
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    References listed on IDEAS

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    1. R. Kaas & J.M. Buhrman, 1980. "Mean, Median and Mode in Binomial Distributions," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 34(1), pages 13-18, March.
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    Cited by:

    1. Frédéric Ouimet, 2023. "A refined continuity correction for the negative binomial distribution and asymptotics of the median," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 86(7), pages 827-849, October.
    2. Adam Kasperski & Paweł Zieliński, 2009. "A randomized algorithm for the min-max selecting items problem with uncertain weights," Annals of Operations Research, Springer, vol. 172(1), pages 221-230, November.
    3. Dmitriev, Daniil & Zhukovskii, Maksim, 2021. "On monotonicity of Ramanujan function for binomial random variables," Statistics & Probability Letters, Elsevier, vol. 177(C).

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