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This book is intended for statisticians with minimal backgrounds in algebra. As we ourselves learned algebraic notions through working on statistical problems and collaborating with notable algebraists, we hope that this book with many practical statistical problems is useful for statisticians to start working on the field.
This book is intended for statisticians with minimal backgrounds in algebra. As we ourselves learned algebraic notions through working on statistical problems and collaborating with notable algebraists, we hope that this book with many practical statistical problems is useful for statisticians to start working on the field.
Satoshi Aoki obtained his doctoral degree from the University of Tokyo in 2004 and is currently an associate professor in the Graduate School of Science and Engineering, Kagoshima University.
Hisayuki Hara obtained his doctoral degree from the University of Tokyo in 1999 and is currently an associate professor in the Faculty of Economics, Niigata University.
Akimichi Takemura obtained his doctoral degree from Stanford University in 1982 and is currently a professor in the Graduate School of Information Science and Technology, University of Tokyo.
Crucial guide for statisticians no matter previous exposure to algebra and algebraic statistics
Clear organization guides the reader through the 16 chapters with figures and tables
Shows topic in its broader context, beginning with introductory material
Includes supplementary 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.- 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.
| Erscheinungsjahr: | 2012 |
|---|---|
| Fachbereich: | Wahrscheinlichkeitstheorie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Reihe: | Springer Series in Statistics |
| Inhalt: |
xii
300 S. |
| ISBN-13: | 9781461437185 |
| ISBN-10: | 1461437180 |
| Sprache: | Englisch |
| Herstellernummer: | 86079308 |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: |
Aoki, Satoshi
Takemura, Akimichi Hara, Hisayuki |
| Hersteller: |
Springer US
Springer New York Springer US, New York, N.Y. Springer Series in Statistics |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 241 x 160 x 22 mm |
| Von/Mit: | Satoshi Aoki (u. a.) |
| Erscheinungsdatum: | 24.07.2012 |
| Gewicht: | 0,635 kg |
Satoshi Aoki obtained his doctoral degree from the University of Tokyo in 2004 and is currently an associate professor in the Graduate School of Science and Engineering, Kagoshima University.
Hisayuki Hara obtained his doctoral degree from the University of Tokyo in 1999 and is currently an associate professor in the Faculty of Economics, Niigata University.
Akimichi Takemura obtained his doctoral degree from Stanford University in 1982 and is currently a professor in the Graduate School of Information Science and Technology, University of Tokyo.
Crucial guide for statisticians no matter previous exposure to algebra and algebraic statistics
Clear organization guides the reader through the 16 chapters with figures and tables
Shows topic in its broader context, beginning with introductory material
Includes supplementary 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.- 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.
| Erscheinungsjahr: | 2012 |
|---|---|
| Fachbereich: | Wahrscheinlichkeitstheorie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Reihe: | Springer Series in Statistics |
| Inhalt: |
xii
300 S. |
| ISBN-13: | 9781461437185 |
| ISBN-10: | 1461437180 |
| Sprache: | Englisch |
| Herstellernummer: | 86079308 |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: |
Aoki, Satoshi
Takemura, Akimichi Hara, Hisayuki |
| Hersteller: |
Springer US
Springer New York Springer US, New York, N.Y. Springer Series in Statistics |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 241 x 160 x 22 mm |
| Von/Mit: | Satoshi Aoki (u. a.) |
| Erscheinungsdatum: | 24.07.2012 |
| Gewicht: | 0,635 kg |
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