Finding the minimal set for collapsible graphical models

DOI10.1090/S0002-9939-2010-10509-9zbMath1207.62115MaRDI QIDQ3082304

Xiao-Fei Wang, Xuming He, Jian-hua Guo

Publication date: 10 March 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

decompositioncollapsibilitygraphical models

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to statistics (62-04) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Applications of graph theory (05C90) Graph algorithms (graph-theoretic aspects) (05C85) Contingency tables (62H17)

Related Items

Algorithms for convex hull finding in undirected graphical models, Decomposition of two classes of structural models

Uses Software

• HdBCS

Cites Work

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• Decomposition by clique separators
• Sparse graphical models for exploring gene expression data
• Marginalization and collapsibility in graphical interaction models
• Optimal decomposition by clique separators
• Junction trees of general graphs
• Collapsibility and response variables in contingency tables
• Propagation of Probabilities, Means, and Variances in Mixed Graphical Association Models
• Amendments and corrections