A Markov Basis for Two-state Toric Homogeneous Markov Chain Model Without Initial Parameters

DOI10.14490/jjss.41.033zbMath1310.62070arXiv1005.1717OpenAlexW2963944478MaRDI QIDQ2881331

Hisayuki Hara, Akimichi Takemura

Publication date: 4 April 2012

Published in: JOURNAL OF THE JAPAN STATISTICAL SOCIETY (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.1717

zbMATH Keywords

Gröbner basistoric idealalgebraic statisticsindispensable move

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Contingency tables (62H17) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (3)

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

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