A unified view of some representations of imprecise probabilities

Abstract : 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.
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Communication dans un congrès
Soft methods in probabilities and statistics, 2006, Bristol, United Kingdom. Springer, 37, pp.249-261, 2006, Advances in soft computing. 〈10.1007/3-540-34777-1_30〉
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Sébastien Destercke, Didier Dubois. A unified view of some representations of imprecise probabilities. Soft methods in probabilities and statistics, 2006, Bristol, United Kingdom. Springer, 37, pp.249-261, 2006, Advances in soft computing. 〈10.1007/3-540-34777-1_30〉. 〈irsn-00196446〉

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