IDEAS home Printed from https://ideas.repec.org/a/spr/jotpro/v15y2002i4d10.1023_a1020688620366.html
   My bibliography  Save this article

Random Probability Measures with Given Mean and Variance

Author

Listed:
  • Lisa Bloomer

    (Georgia Institute of Technology)

  • Theodore P. Hill

    (Georgia Institute of Technology)

Abstract

This article describes several natural methods of constructing random probability measures with prescribed mean and variance, and focuses mainly on a technique which constructs a sequence of simple (purely discrete, finite number of atoms) distributions with the prescribed mean and with variances which increase to the desired variance. Basic properties of the construction are established, including conditions guaranteeing full support of the generated measures, and conditions guaranteeing that the final measure is discrete. Finally, applications of the construction method to optimization problems such as Plackett's Problem are mentioned, and to experimental determination of average-optimal solutions of certain control problems.

Suggested Citation

  • Lisa Bloomer & Theodore P. Hill, 2002. "Random Probability Measures with Given Mean and Variance," Journal of Theoretical Probability, Springer, vol. 15(4), pages 919-937, October.
    • Handle: RePEc:spr:jotpro:v:15:y:2002:i:4:d:10.1023_a:1020688620366
    DOI: 10.1023/A:1020688620366
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1020688620366
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1023/A:1020688620366?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    Citations

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


    Cited by:

    1. Pedro Terán & Ilya Molchanov, 2006. "The Law of Large Numbers in a Metric Space with a Convex Combination Operation," Journal of Theoretical Probability, Springer, vol. 19(4), pages 875-898, December.
    2. Pieter Allaart, 2003. "Moments of the Mean of Dubins–Freedman Random Probability Distributions," Journal of Theoretical Probability, Springer, vol. 16(2), pages 471-488, 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:spr:jotpro:v:15:y:2002:i:4:d:10.1023_a:1020688620366. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.