Computing lower and upper expectations under epistemic independence

Cassio Polpo de Campos; Fabio Gagliardi Cozman

doi:10.1016/j.ijar.2006.07.013

Computing lower and upper expectations under epistemic independence

Cassio Polpo de Campos, Fabio Gagliardi Cozman

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Abstract

This paper investigates the computation of lower/upper expectations that must cohere with a collection of probabilistic assessments and a collection of judgements of epistemic independence. New algorithms, based on multilinear programming, are presented, both for independence among events and among random variables. Separation properties of graphical models are also investigated.

Original language	English
Pages (from-to)	244-260
Number of pages	17
Journal	International Journal of Approximate Reasoning
Volume	44
Issue number	3
DOIs	https://doi.org/10.1016/j.ijar.2006.07.013
Publication status	Published - 1 Mar 2007
Externally published	Yes

Bibliographical note

Reasoning with Imprecise Probabilities

Funding

We thank Peter Walley for sharing with us the algorithm in Fig. A.1. This work has received generous support from HP Brazil R&D. The work has also been supported by CNPq (through grant 3000183/98-4) and FAPESP (through grant 04/09568-0).

Keywords

Concepts of independence
Epistemic independence
Imprecise probabilities
Multilinear programming
Sets of probability measures

Access to Document

10.1016/j.ijar.2006.07.013

Cite this

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Computing lower and upper expectations under epistemic independence

Abstract

Bibliographical note

Funding

Keywords

Access to Document

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