IDEAS home Printed from
   My bibliography  Save this paper

On the New Notion of the Set-Expectation for a Random Set of Events


  • Vorobyev, Oleg Yu.
  • Vorobyev, Alexey O.


The paper introduces new notion for the set-valued mean set of a random set. The means are defined as families of sets that minimize mean distances to the random set. The distances are determined by metrics in spaces of sets or by suitable generalizations. Some examples illustrate the use of the new definitions.

Suggested Citation

  • Vorobyev, Oleg Yu. & Vorobyev, Alexey O., 2003. "On the New Notion of the Set-Expectation for a Random Set of Events," MPRA Paper 17901, University Library of Munich, Germany, revised 27 Apr 2003.
  • Handle: RePEc:pra:mprapa:17901

    Download full text from publisher

    File URL:
    File Function: original version
    Download Restriction: no


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

    Cited by:

    1. Vorobyev, Oleg, 2009. "Eventology versus contemporary theories of uncertainty," MPRA Paper 13961, University Library of Munich, Germany.

    More about this item


    mean random set; metrics in set space; mean distance; Aumann expectation; Frechet expectation; Hausdorff metric; random finite set; mean set; set-median; set-expectation;

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics


    Access and download statistics


    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:pra:mprapa:17901. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joachim Winter). General contact details of provider: .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.