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Markov Bases in Algebraic Statistics. 竹村彰通他著 代数統計学におけるマルコフ基底
・ISBN 978-1-4614-3718-5 hard EUR 99.99
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| 著者・編者 | Aoki, Satoshi / Hara, Hisayuki / Takemura, Akimichi, |
|---|---|
| シリーズ | Springer Series in Statistics |
| 出版社 | (Springer, US) |
| 出版年月 | 2012 |
| ページ数 | x, 298 pp. |
| 言語 | ENG |
| ニュース番号 | ＜595-244 M25-21510＞ |
解説
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 Groebner bases for constructing a connected Markov chain for performing conditional tests of a discrete exponential family. In this book we take up this topic and present a detailed summary of developments following the seminal work of Diaconis and Sturmfels.
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.