Irrelevance and independence axioms in Quasi-Bayesian theory

Fabio Gagliardi Cozman

Irrelevance and independence axioms in Quasi-Bayesian theory

Fabio Gagliardi Cozman

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

13 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 language	American English
Title of host publication	Irrelevance and independence axioms in Quasi-Bayesian theory
Pages	128-136
Number of pages	9
ISBN (Electronic)	354066131X, 9783540661313
State	Published - 1 Jan 1999
Externally published	Yes
Event	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) - Duration: 1 Jan 2018 → …

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	1638
ISSN (Print)	0302-9743

Conference

Conference	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Period	1/01/18 → …

Cite this

@inproceedings{1eae6da18c804aa5ab18ef38f60d0508,

title = "Irrelevance and independence axioms in Quasi-Bayesian theory",

abstract = "{\textcopyright} Springer-Verlag Berlin Heidelberg 1999. This paper investigates Walley{\textquoteright}s concepts of irrelevance and independence, as applied to the theory of closed convex sets of probability measures. Walley{\textquoteright}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{\textquoteright}s concept of irrelevance is an asymmetric semi-graphoid; second, Walley{\textquoteright}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.",

author = "Cozman, {Fabio Gagliardi}",

year = "1999",

month = jan,

day = "1",

language = "American English",

isbn = "354066131X",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

pages = "128--136",

booktitle = "Irrelevance and independence axioms in Quasi-Bayesian theory",

note = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) ; Conference date: 01-01-2018",

}

Cozman, FG 1999, Irrelevance and independence axioms in Quasi-Bayesian theory. in Irrelevance and independence axioms in Quasi-Bayesian theory. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 1638, pp. 128-136, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 1/01/18.

Irrelevance and independence axioms in Quasi-Bayesian theory. / Cozman, Fabio Gagliardi.

Irrelevance and independence axioms in Quasi-Bayesian theory. 1999. p. 128-136 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1638).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Irrelevance and independence axioms in Quasi-Bayesian theory

AU - Cozman, Fabio Gagliardi

PY - 1999/1/1

Y1 - 1999/1/1

N2 - © 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.

AB - © 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.

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84947941196&origin=inward

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84947941196&origin=inward

M3 - Conference contribution

SN - 354066131X

SN - 9783540661313

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 128

EP - 136

BT - Irrelevance and independence axioms in Quasi-Bayesian theory

T2 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Y2 - 1 January 2018

ER -

Irrelevance and independence axioms in Quasi-Bayesian theory

Abstract

Publication series

Conference

Other files and links

Fingerprint

Cite this