Vorobyev, Oleg Yu. and Vorobyev, Alexey O. (2003): On the New Notion of the SetExpectation for a Random Set of Events. Published in: Proc. of the II AllRussian FAM'2003 Conference , Vol. 1, (27 April 2003): pp. 2337.

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Abstract
The paper introduces new notion for the setvalued 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.
Item Type:  MPRA Paper 

Original Title:  On the New Notion of the SetExpectation for a Random Set of Events 
Language:  English 
Keywords:  mean random set, metrics in set space, mean distance, Aumann expectation, Frechet expectation, Hausdorff metric, random finite set, mean set, setmedian, setexpectation 
Subjects:  C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General C  Mathematical and Quantitative Methods > C4  Econometric and Statistical Methods: Special Topics 
Item ID:  17901 
Depositing User:  Prof Oleg Yu Vorobyev 
Date Deposited:  16 Oct 2009 07:09 
Last Modified:  02 Oct 2019 04:38 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/17901 