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

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.

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Year of publication:	2003-04-02
Authors:	Vorobyev, Oleg Yu. ; Vorobyev, Alexey O.
Institutions:	Volkswirtschaftliche Fakultät, Ludwig-Maximilians-Universität München
Subject:	mean random set \| metrics in set space \| mean distance \| Aumann expectation \| Frechet expectation \| Hausdorff metric \| random finite set \| mean set \| set-median \| set-expectation

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Extent:	application/pdf
Series:	MPRA Paper.
Type of publication:	Book / Working Paper
Classification:	C02 - Mathematical Methods ; C1 - Econometric and Statistical Methods: General ; C4 - Econometric and Statistical Methods: Special Topics
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008518092