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

Oleg Yu. Vorobyev and Alexey O. Vorobyev
Authors registered in the RePEc Author Service: Олег Юрьевич Воробьев ()

MPRA Paper from University Library of Munich, Germany

Abstract: 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.

Keywords: mean random set; metrics in set space; mean distance; Aumann expectation; Frechet expectation; Hausdorff metric; random finite set; mean set; set-median; set-expectation (search for similar items in EconPapers)
JEL-codes: C02 C1 C4 (search for similar items in EconPapers)
Date: 2003-04-02, Revised 2003-04-27
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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