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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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Contributor : Sébastien Destercke Connect in order to contact the contributor
Submitted on : Wednesday, December 12, 2007 - 7:29:29 PM
Last modification on : Tuesday, November 15, 2022 - 10:58:34 AM
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Sébastien Destercke, Didier Dubois. A unified view of some representations of imprecise probabilities. 3rd International Conference on Soft Methods in Probability and Statistics (SMPS 2006), Sep 2006, Bristol, United Kingdom. pp.249-261, ⟨10.1007/3-540-34777-1_30⟩. ⟨irsn-00196446⟩



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