On conditional independence and log-convexity

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F12%3A00386229" target="_blank" >RIV/67985556:_____/12:00386229 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1214/11-AIHP431" target="_blank" >http://dx.doi.org/10.1214/11-AIHP431</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1214/11-AIHP431" target="_blank" >10.1214/11-AIHP431</a>

Result language

angličtina

Original language name

On conditional independence and log-convexity

Original language description

If conditional independence constraints define a family of positive distributions that is log-convex then this family turns out to be a Markov model over an undirected graph. This is proved for the distributions on products of finite sets and for the regular Gaussian ones. As a consequence, the assertion known as Brook factorization theorem, Hammersley-Clifford theorem or Gibbs-Markov equivalence is obtained.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Annales de L Institut Henri Poincare-Probabilites Et Statistiques

ISSN

0246-0203

e-ISSN

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Volume of the periodical

48

Issue of the periodical within the volume

4

Country of publishing house

FR - FRANCE

Number of pages

12

Pages from-to

1137-1147

UT code for WoS article

000312118700011

EID of the result in the Scopus database

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