Markov bases in algebraic statistics [Documento eletrónico] / Satoshi Aoki, Hisayuki Hara, Akimichi Takemura
Language: eng.Country: US - United States of America.Publication: New York, NY : Springer , 2012Description: XII, 300 p.ISBN: 978-1-4614-3719-2.Series: Springer Series in Statistics, 199Subject - Topical Name: 3627 | 1379 | 3629 | 4515Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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QA276.SPR FCT 96203 Modern mathematical statistics with applications | QA276.SPR FCT 96204 Selected works of David Brillinger | QA276.SPR FCT 96214 Graphical models with R | QA276.SPR FCT 96223 Markov bases in algebraic statistics | QA276.SPR FCT 96227 Statistical analysis of clinical data on a pocket calculator , statistics on a pocket calculator part 2 | QA276.SPR FCT 96266 Modeling dose-response microarray data in early drug development experiments using R, order-restricted analysis of microarray data | QA276.SPR FCT 96269 Statistical signal processing, frequency estimation |
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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.
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