Markov-chain Monte Carlo methods for the Box-Behnken designs and centrally symmetric configurations

DOI10.1080/15598608.2015.1067172zbMath1420.62334arXiv1502.02323OpenAlexW3099634820MaRDI QIDQ2323150

Satoshi Aoki, Takayuki Hibi, Hidefumi Ohsugi

Publication date: 30 August 2019

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02323

zbMATH Keywords

root systemsMarkov basesBox-Behnken designscentrally symmetric configurationsMarkov-chain Monte Carlo methods

Mathematics Subject Classification ID

Sampling theory, sample surveys (62D05) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Factorial statistical designs (62K15) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (1)

Geometric designs and rotatable designs. I

Uses Software

• 4ti2

Cites Work

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• Quadratic initial ideals of root systems
• Gröbner Bases
• Root Polytopes and Growth Series of Root Lattices
• Centrally Symmetric Configurations of Integer Matrices
• Monte Carlo sampling methods using Markov chains and their applications

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