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20082024
most citedProbability boxes on totally preordered spaces for multivariate modelling

56 citations · 364 across the 23 of their papers we have counts for

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Showing 2011Show all

5 papers · 1 filter

stat.ME2011★ 3 cited

Robust detection of exotic infectious diseases in animal herds: A comparative study of three decision methodologies under severe uncertainty

Matthias C. M. Troffaes, John Paul Gosling

When animals are transported and pass through customs, some of them may have dangerous infectious diseases. Typically, due to the cost of testing, not all animals are tested: a rea…

math.ST2011★ 5 cited

Subtree perfectness, backward induction, and normal-extensive form equivalence for single agent sequential decision making under arbitrary choice functions

Nathan Huntley, Matthias C. M. Troffaes

We revisit and reinterpret Selten's concept of subgame perfectness in the context of single agent normal form sequential decision making, which leads us to the concept of subtree p…

math.ST2011★ 13 cited

Normal form backward induction for decision trees with coherent lower previsions

Nathan Huntley, Matthias C. M. Troffaes

We examine normal form solutions of decision trees under typical choice functions induced by lower previsions. For large trees, finding such solutions is hard as very many strategi…

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…