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...

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Detaylı Bibliyografya
Asıl Yazarlar: Aoki, Satoshi, Hara, Hisayuki (Yazar), Takemura, Akimichi (Yazar)
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: New York, NY : Springer New York [20..].
Cham : Springer Nature
Edisyon:1st ed. 2012.
Seri Bilgileri:Springer Series in Statistics 199
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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
Diğer Bilgiler
Özet: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 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.Satoshi Aoki obtained his doctoral degree from University of Tokyo in 2004 and is currently an associate professor in Graduate school of Science and Engineering, Kagoshima University.Hisayuki Hara obtained his doctoral degree from University of Tokyo in 1999 and is currently an associate professor in Faculty of Economics, Niigata University.Akimichi Takemura obtained his doctoral degree from Stanford University in 1982 and is currently a professor in Graduate School of Information Science and Technology, University of Tokyo
Diğer Bilgileri:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9781461437192
ISSN:2197-568X
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