目次
Introduction and some relevant preliminary material -- Exact Tests for Contingency Tables and Discrete Exponential Families -- Markov Chain Monte Carlo Methods over Discrete Sample Space -- Toric Ideals and Their Gröbner Bases--
Properties of Markov bases -- Definition of Markov Bases and Other Bases -- Structure of Minimal Markov Bases -- Method of Distance Reduction -- Symmetry of Markov Bases--
Markov bases for specific models -- 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 -- Groupwise Selection Models -- The Set of Moves Connecting Specific Fibers--
Some other topics of algebraic statistics -- Disclosure Limitation Problem and Markov Basis -- Gröbner Basis Techniques for Design of Experiments -- Running Markov Chain Without Markov Bases
