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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Sébastien Destercke, Didier Dubois. A unified view of some representations of imprecise probabilities. Soft methods in probabilities and statistics, 2006, Bristol, United Kingdom. pp.249-261, ⟨10.1007/3-540-34777-1_30⟩. ⟨irsn-00196446⟩

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