Equivalence classes of staged trees

DOI10.3150/17-BEJ940zbMath1419.62124arXiv1512.00209OpenAlexW2963181559MaRDI QIDQ1708979

Christiane Görgen, James Q. Smith

Publication date: 27 March 2018

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00209

zbMATH Keywords

algebraic statisticsprobability treeschain event graphsstaged trees

Mathematics Subject Classification ID

Trees (05C05) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Applications of graph theory (05C90)

Related Items (9)

Staged tree models with toric structure ⋮ The curved exponential family of a staged tree ⋮ A Differential Approach for Staged Trees ⋮ A new characterization of discrete decomposable graphical models ⋮ Discrete statistical models with rational maximum likelihood estimator ⋮ Discovery of statistical equivalence classes using computer algebra ⋮ Equations defining probability tree models ⋮ Sensitivity analysis in multilinear probabilistic models ⋮ A Bayesian hierarchical model for criminal investigations

Cites Work

• Conditional independence and chain event graphs
• Causal identifiability via chain event graphs
• Bayesian MAP model selection of chain event graphs
• Lectures on algebraic statistics
• A characterization of Markov equivalence classes for acyclic digraphs
• Refining a Bayesian network using a chain event graph
• On the toric algebra of graphical models
• Causal discovery through MAP selection of stratified chain event graphs
• A Differential Approach for Staged Trees
• A differential approach to inference in Bayesian networks
• Probabilistic Inference and Influence Diagrams
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