Discrete statistical models with rational maximum likelihood estimator

DOI10.3150/20-BEJ1231zbMath1465.62184arXiv1903.06110MaRDI QIDQ2214240

Orlando Marigliano, Bernd Sturmfels, Eliana Duarte

Publication date: 7 December 2020

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.06110

zbMATH Keywords

maximum likelihood estimatorgraphical modelsreal algebraic geometryalgebraic statisticsdiscrete statistical modelslikelihood geometry

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Probabilistic graphical models (62H22) Algebraic statistics (62R01)

Related Items (8)

Staged tree models with toric structure ⋮ Algebraic structures in statistical methodology. Abstracts from the workshop held December 4--10, 2022 ⋮ Nonlinear algebra and applications ⋮ Toric fiber products in geometric modeling ⋮ Families of polytopes with rational linear precision in higher dimensions ⋮ Beyond linear algebra ⋮ DiscreteStatisticalModelsWithRationalMLE ⋮ Optimal Transport to a Variety

Uses Software

• Macaulay2

Cites Work

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• Conditional independence and chain event graphs
• A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map
• Lectures on algebraic statistics
• Linear precision for parametric patches
• Toric surface patches
• Equivalence classes of staged trees
• Moment maps, strict linear precision, and maximum likelihood degree one
• Equations defining probability tree models
• Varieties with maximum likelihood degree one
• Likelihood Geometry
• Information Geometry

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