Irrelevance and independence axioms in Quasi-Bayesian theory

Fabio Gagliardi Cozman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

12 Scopus citations

Abstract

© Springer-Verlag Berlin Heidelberg 1999. This paper investigates Walley’s concepts of irrelevance and independence, as applied to the theory of closed convex sets of probability measures. Walley’s concepts are analyzed from the perspective of axioms for conditional independence (the so-called semi-graphoid axioms). Two new results are demonstrated in discrete models: rst, Walley’s concept of irrelevance is an asymmetric semi-graphoid; second, Walley’s concept of independence is an incomplete semi-graphoid. These results are the basis for an understanding of irrelevance and independence in connection to the theory of closed convex sets of probability measures, a theory that has received attention as a powerful representation for uncertainty in beliefs and preferences.
Original languageAmerican English
Title of host publicationIrrelevance and independence axioms in Quasi-Bayesian theory
Pages128-136
Number of pages9
ISBN (Electronic)354066131X, 9783540661313
StatePublished - 1 Jan 1999
Externally publishedYes
EventLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) -
Duration: 1 Jan 2018 → …

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1638
ISSN (Print)0302-9743

Conference

ConferenceLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Period1/01/18 → …

Fingerprint

Dive into the research topics of 'Irrelevance and independence axioms in Quasi-Bayesian theory'. Together they form a unique fingerprint.

Cite this