An extension of the factorization theorem to the non-positive case.

DOI10.1016/S0047-259X(03)00055-1zbMath1179.62027OpenAlexW2087594477MaRDI QIDQ1421863

Pawel Kopciuszewski

Publication date: 3 February 2004

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0047-259x(03)00055-1

zbMATH Keywords

Conditional distributionsFunctionally compatible distributionsHammersley-Clifford TheoremPositivity condition

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Characterization and structure theory of statistical distributions (62E10)

Related Items (1)

A simple algorithm for checking compatibility among discrete conditional distributions

Cites Work

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• Asymptotic Behavior of the Gibbs Sampler
• THE CLASS OF JOINT DENSITIES UNIQUELLY DETERMINED BY CONDITIONALS USED IN GIBBS SAMPLING
• On the distinction between the conditional probability and the joint probability approaches in the specification of nearest-neighbour systems
• Markov Random Fields and Gibbs Ensembles

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