ENGLISH

Markov Bases in Algebraic Statistics

By Satoshi Aoki , Hisayuki Hara , Akimichi Takemura (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2012
ISBN
9781461437185, 1461437180, 9781461437192, 1461437199
DOI
10.1007/978-1-4614-3719-2
Language
english
Format
PDF
Filesize
3 MB (3663456 bytes)
Series
Springer Series in Statistics 199
Edition
1
Pages
300\294
Library
Kolxo3
Time added
2012-12-29 17:00:00
general; Statistical Theory and Methods; General AStatistics

Description

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.

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