IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v23y1995i1p21-25.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0167-7152(94)00090-U
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Baland, Jean-Marie & Somanathan, Rohini & Wahhaj, Zaki, 2013. "Repayment incentives and the distribution of gains from group lending," Journal of Development Economics, Elsevier, vol. 105(C), pages 131-139.
    2. Sundararajan, Mukund & Yan, Qiqi, 2020. "Robust mechanisms for risk-averse sellers," Games and Economic Behavior, Elsevier, vol. 124(C), pages 644-658.
    3. repec:zbw:rwirep:0336 is not listed on IDEAS
    4. Narayanaswamy Balakrishnan & Efe A. Ok & Pietro Ortoleva, 2021. "Inferential Choice Theory," Working Papers 2021-60, Princeton University. Economics Department..
    5. Philipp an de Meulen & Christian Bredemeier, 2012. "A Political Winner’s Curse: Why Preventive Policies Pass Parliament so Narrowly," Ruhr Economic Papers 0336, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    6. Janson, Svante, 2021. "On the probability that a binomial variable is at most its expectation," Statistics & Probability Letters, Elsevier, vol. 171(C).
    7. Doerr, Benjamin, 2018. "An elementary analysis of the probability that a binomial random variable exceeds its expectation," Statistics & Probability Letters, Elsevier, vol. 139(C), pages 67-74.
    8. an de Meulen, Philipp & Bredemeier, Christian, 2012. "A Political Winner's Curse: Why Preventive Policies Pass Parliament so Narrowly," Ruhr Economic Papers 336, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    9. Bethmann, Dirk, 2018. "An improvement to Jensen’s inequality and its application to mating market clearing when paternity is uncertain," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 71-74.
    10. Mariusz Bieniek & Luiza Pańczyk, 2023. "On the choice of the optimal single order statistic in quantile estimation," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 75(2), pages 303-333, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:stapro:v:23:y:1995:i:1:p:21-25. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.