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most citedUnifying Practical Uncertainty Representations: I. Generalized P-Boxes

130 citations · 357 across the 15 of their papers we have counts for

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math.PR2014★ 5 cited

A geometric and game-theoretic study of the conjunction of possibility measures

Enrique Miranda, Matthias C. M. Troffaes, Sebastien Destercke

In this paper, we study the conjunction of possibility measures when they are interpreted as coherent upper probabilities, that is, as upper bounds for some set of probability meas…

math.PR2011★ 39 cited

On the connection between probability boxes and possibility measures

Matthias C. M. Troffaes, Enrique Miranda, Sebastien Destercke

We explore the relationship between possibility measures (supremum preserving normed measures) and p-boxes (pairs of cumulative distribution functions) on totally preordered spaces…

math.PR2011★ 56 cited

Probability boxes on totally preordered spaces for multivariate modelling

Matthias C. M. Troffaes, Sebastien Destercke

A pair of lower and upper cumulative distribution functions, also called probability box or p-box, is among the most popular models used in imprecise probability theory. They arise…

math.PR2009★ 30 cited

Computing Expectations with Continuous P-Boxes: Univariate Case

L. Utkin, S. Destercke

Given an imprecise probabilistic model over a continuous space, computing lower/upper expectations is often computationally hard to achieve, even in simple cases. Because expectati…

math.PR2008★ 45 cited

Unifying Practical Uncertainty Representations: II. Clouds

Sebastien Destercke, Didier Dubois, Eric Chojnacki

There exist many simple tools for jointly capturing variability and incomplete information by means of uncertainty representations. Among them are random sets, possibility distribu…

math.PR2008★ 130 cited

Unifying Practical Uncertainty Representations: I. Generalized P-Boxes

Sebastien Destercke, Didier Dubois, Eric Chojnacki

There exist several simple representations of uncertainty that are easier to handle than more general ones. Among them are random sets, possibility distributions, probability inter…