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Title:
Markov Bases in Algebraic Statistics by Satoshi Aoki, Hisayuki Hara, Akimichi Takemura.
Springer Series in Statistics,
Springer series in statistics,
Main Entry:
Aoki, Satoshi. author.
Hara, Hisayuki. author.
Takemura, Akimichi. author.
SpringerLink (Online service)
Publisher:
Springer New York : Imprint: Springer,
Publication Date:
2012.
Publication Place:
New York, NY :
ISBN:
9781461437192
Subject:
Statistics.
Algebra.
Mathematics.
Mathematical statistics.
Statistics.
Statistics, general.
Statistical Theory and Methods.
General Algebraic Systems.
Applications of Mathematics.
Series:
Springer Series in Statistics, 199
Springer series in statistics, 199
Contents:
Exact tests for contingency tables and discrete exponential families -- Markov chain Monte Carlo methods over discrete sample space -- Toric ideals and their Gröbner bases -- Definition of Markov bases and other bases -- Structure of minimal Markov bases -- Method of distance reduction -- Symmetry of Markov bases -- Decomposable models of contingency tables -- Markov basis for no-three-factor interaction models and some other hierarchical models -- Two-way tables with structural zeros and fixed subtable sums -- Regular factorial designs with discrete response variables -- Group-wise selection models -- The set of moves connecting specific fibers -- Disclosure limitation problem and Markov basis -- Gröbner basis techniques for design of experiments -- Running Markov chain without Markov bases -- References -- Index.
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Printed edition: 9781461437185
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