IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v40y1998i4p321-327.html
   My bibliography  Save this article

"Drawings since hit tables in lotteries" and a new multivariate geometric distribution

Author

Listed:
  • Henze, Norbert

Abstract

In number lotteries people choose r numbers out of s. Weekly published "drawings since hit tables" indicate how many drawings have taken place since each of the s numbers was last selected as a winning number. Among many lotto players, they enhance the widespread belief that numbers should be "due" if they have not come up for a long time. Under the assumptions of independence of the drawings and equiprobability of all possible combinations, the random s-vectors Yn, n [greater-or-equal, slanted] 1, of entries in a drawings since hit table after n drawings form a Markov chain. The limit distribution of Yn as n --> [infinity] is a new multivariate generalization of the geometric distribution. The determination of the distribution of the maximum entry in a drawings since hit table within the first n draws of a lottery seems to be an open problem.

Suggested Citation

  • Henze, Norbert, 1998. ""Drawings since hit tables in lotteries" and a new multivariate geometric distribution," Statistics & Probability Letters, Elsevier, vol. 40(4), pages 321-327, November.
    • Handle: RePEc:eee:stapro:v:40:y:1998:i:4:p:321-327
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(98)00118-7
    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. N. Henze, 1997. "A statistical and probabilistic analysis of popular lottery tickets," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 51(2), pages 155-163, July.
    Full references (including those not matched with items on IDEAS)

    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. Humphreys, Brad & Perez, Levi, 2011. "Lottery Participants and Revenues: An International Survey of Economic Research on Lotteries," Working Papers 2011-17, University of Alberta, Department of Economics.
    2. repec:cup:judgdm:v:16:y:2021:i:4:p:1039-1059 is not listed on IDEAS
    3. repec:cup:judgdm:v:11:y:2016:i:3:p:243-259 is not listed on IDEAS
    4. Tong V. Wang & Rogier J. D. Potter van Loon & Martijn J. van den Assem & Dennie van Dolder, 2016. "Number preferences in lotteries," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 11(3), pages 243-259, May.
    5. Brian A. Polin & Eyal Ben Isaac & Itzhak Aharon, 2021. "Patterns in manually selected numbers in the Israeli lottery," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 16(4), pages 1039-1059, July.

    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:40:y:1998:i:4:p:321-327. 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.