Degree Bounds for a Minimal Markov Basis for the Three-state Toric Homogeneous Markov Chain Model

DOI10.1142/9789814383462_0006zbMath1338.60182arXiv1108.0481OpenAlexW2962687186MaRDI QIDQ2812491

David C. Haws, Abraham Martín del Campo, Ruriko Yoshida

Publication date: 16 June 2016

Published in: Harmony of Gröbner Bases and the Modern Industrial Society - The Second CREST-CSBM International Conference (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.0481

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Algebraic combinatorics (05E99) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

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Markov chain Monte Carlo test of toric homogeneous Markov chains ⋮ The three-state toric homogeneous Markov chain model has Markov degree two

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