ISIPTA'09 - SIXTH INTERNATIONAL SYMPOSIUM ON
IMPRECISE PROBABILITY: THEORIES AND APPLICATIONS

Durham University, Department of Mathematical Sciences
Durham, United Kingdom
Tuesday 14 to Saturday 18 July 2009

ELECTRONIC PROCEEDINGS

Sebastien Destercke, Didier Dubois

The Role of Generalised p-Boxes in Imprecise Probability Models

Abstract

Recently, we have introduced an uncertainty representation generalising imprecise cumulative distributions to any (pre-)ordered space as well as possibility distributions: generalised p-boxes. This representation has many attractive features, as it remains quite simple while having an interesting interpretation in terms of lower and upper confidence bounds over nested sets. However, the merits this representation in various uncertainty treatments still has to be evaluated. This is the topic of this paper, in which the handling of information modelled by generalised p-boxes is studied, from the point of view of elicitation, propagation, conditioning and fusion.

Keywords. Generalized p-boxes, comonotonic clouds, fusion, conditioning, propagation.

Paper Download

The paper is availabe in the following formats:

Plenary talk : Press here to get the file of the presentation.

Poster : Press here to get the file of the poster.


Authors addresses:

Sebastien Destercke
UMR IATE, Campus INRA / Montpellier SupAgro 2, place Pierre Viala 34060 Montpellier Cedex 2

Didier Dubois
Porte 308
IRIT, Université Paul Sabatier,
118 route de Narbonne,
31062, Toulouse, cedex 4, FRANCE.

E-mail addresses:

Sebastien Destercke sdestercke@gmail.com
Didier Dubois dubois@irit.fr


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