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A unified view of some representations of imprecise probabilities

SMPS 2006 - Third International Workshop on Soft Methods in Probability and Statistics, Bristol, 5-7 September 2006

Sébastien Destercke(1), Didier Dubois(2).

Document type > *Congrès/colloque

Keywords > safety, probabilities, uncertainty

Research Unit > IRSN/DPAM/SEMIC

Authors > DESTERCKE Sébastien

Publication Date > 05/09/2006

Summary

Several methods for the practical representation of imprecise probabilities exist such as Ferson's p-boxes, possibility distributions, Neumaier's clouds, and random sets . In this paper some relationships existing between the four kinds of representations are discussed. A cloud as well as a p-box can be modelled as a pair of possibility distributions. We show that a generalized form of p-box is a special kind of belief function and also a special kind of cloud.

(1) : IRSN
(2) : Universit¥e Paul Sabatier, 118 route de Narbonne 31062 Toulouse Cedex 9, France


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