Normal Binary Hierarchical Models

DOI10.1080/10586458.2016.1142911zbMath1391.13057arXiv1508.05461OpenAlexW2276786749WikidataQ57428751 ScholiaQ57428751MaRDI QIDQ5281709

Seth Sullivant, Daniel Irving Bernstein

Publication date: 26 July 2017

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.05461

zbMATH Keywords

combinatoricsGröbner basisHilbert basiscontingency tablesalgebraic statistics

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Statistical tables (62Q05) Contingency tables (62H17) Computational aspects in algebraic geometry (14Q99) Combinatorial aspects of simplicial complexes (05E45) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (2)

Generalized cut polytopes for binary hierarchical models ⋮ Unimodular binary hierarchical models

Cites Work

• Unnamed Item
• A finiteness theorem for Markov bases of hierarchical models
• Compressed polytopes and statistical disclosure limitation
• Higher Lawrence configurations.
• Non-very ample configurations arising from contingency tables
• Normal binary graph models
• Challenging Computations of Hilbert Bases of Cones Associated with Algebraic Statistics

This page was built for publication: Normal Binary Hierarchical Models