Tree cumulants and the geometry of binary tree models

DOI10.3150/10-BEJ338zbMath1235.62004arXiv1004.4360OpenAlexW3123056300MaRDI QIDQ408105

Piotr Zwiernik, James Q. Smith

Publication date: 29 March 2012

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.4360

zbMATH Keywords

Möbius functioncumulantsidentifiabilityconditional independencebinary datacentral momentsgeneral Markov modelsgraphical models on treeshidden data

Mathematics Subject Classification ID

Multivariate analysis (62H99) Partial orders, general (06A06) Trees (05C05) Applications of graph theory (05C90) Markov processes (60J99) Foundational topics in statistics (62A99)

Related Items (7)

Tree topologies along a tropical line segment ⋮ Information geometry for phylogenetic trees ⋮ Hierarchical models as marginals of hierarchical models ⋮ An algebraic analysis of the two state Markov model on tripod trees ⋮ Implicit inequality constraints in a binary tree model ⋮ Gaussian tree constraints applied to acoustic linguistic functional data ⋮ Wald tests of singular hypotheses

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