Markov bases in algebraic statistics
Algebraic statistics is a rapidly developing field, where ideas from statistics and algebra meet and stimulate new research directions. One of the origins of algebraic statistics is the work by Diaconis and Sturmfels in 1998 on the use of Gröbner bases for constructing a connected Markov chain for p...
Na minha lista:
| Auteurs principaux: | , , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edição: | 1st ed. 2012. |
| Colecção: | Springer Series in Statistics
199 |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Markov bases in algebraic statistics, by Satoshi Aoki, Hisayuki Hara, Akimichi Takemura, New York, Springer, 2012, 1 vol. (xi, 298 p.), Springer series in statistics, 978-1-461-43718-5 • Markov Bases in Algebraic Statistics, Texte imprimé, 9781461437208 • Markov Bases in Algebraic Statistics, Texte imprimé, 9781489999092 |
Sumário:
- 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
- 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