On the New Notion of the Set-Expectation for a Random Set of Events
AbstractThe 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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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 17901.
Date of creation: 02 Apr 2003
Date of revision: 27 Apr 2003
mean random set; metrics in set space; mean distance; Aumann expectation; Frechet expectation; Hausdorff metric; random finite set; mean set; set-median; set-expectation;
Find related papers by 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
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- Vorobyev, Oleg, 2009. "Eventology versus contemporary theories of uncertainty," MPRA Paper 13961, University Library of Munich, Germany.
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