The Resource Markov bases in algebraic statistics, Satoshi Aoki, Hisayuki Hara, Akimichi Takemura
Markov bases in algebraic statistics, Satoshi Aoki, Hisayuki Hara, Akimichi Takemura
Resource Information
The item Markov bases in algebraic statistics, Satoshi Aoki, Hisayuki Hara, Akimichi Takemura represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Massey University Library, University of New Zealand.This item is available to borrow from 1 library branch.
Resource Information
The item Markov bases in algebraic statistics, Satoshi Aoki, Hisayuki Hara, Akimichi Takemura represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Massey University Library, University of New Zealand.
This item is available to borrow from 1 library branch.
 Summary
 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
 Language
 eng
 Extent
 1 online resource (xi, 298 pages)
 Contents

 Part 1. Introduction and some relevant preliminary 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 Part 2. Properties of Markov bases
 Definition of Markov Bases and Other Bases
 Structure of Minimal Markov Bases
 Method of Distance Reduction
 Symmetry of Markov Bases Part 3. Markov bases for specific models
 Decomposable Models of Contingency Tables
 Markov Basis for NoThreeFactor Interaction Models and Some Other Hierarchical Models
 TwoWay Tables with Structural Zeros and Fixed Subtable Sums
 Regular Factorial Designs with Discrete Response Variables
 Groupwise Selection Models
 The Set of Moves Connecting Specific Fibers Part 4. Some other topics of algebraic statistics
 Disclosure Limitation Problem and Markov Basis
 Gröbner Basis Techniques for Design of Experiments
 Running Markov Chain Without Markov Bases
 Isbn
 9781461437192
 Label
 Markov bases in algebraic statistics
 Title
 Markov bases in algebraic statistics
 Statement of responsibility
 Satoshi Aoki, Hisayuki Hara, Akimichi Takemura
 Language
 eng
 Summary
 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
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Aoki, Satoshi
 Dewey number
 519.5
 Illustrations
 illustrations
 Index
 index present
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName

 Hara, Hisayuki
 Takemura, Akimichi
 Series statement
 Springer series in statistics,
 Series volume
 199
 http://library.link/vocab/subjectName

 Mathematical statistics
 Markov processes
 Gröbner bases
 Label
 Markov bases in algebraic statistics, Satoshi Aoki, Hisayuki Hara, Akimichi Takemura
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 287293) and index
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Part 1. Introduction and some relevant preliminary 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 Part 2. Properties of Markov bases  Definition of Markov Bases and Other Bases  Structure of Minimal Markov Bases  Method of Distance Reduction  Symmetry of Markov Bases Part 3. Markov bases for specific models  Decomposable Models of Contingency Tables  Markov Basis for NoThreeFactor Interaction Models and Some Other Hierarchical Models  TwoWay Tables with Structural Zeros and Fixed Subtable Sums  Regular Factorial Designs with Discrete Response Variables  Groupwise Selection Models  The Set of Moves Connecting Specific Fibers Part 4. Some other topics of algebraic statistics  Disclosure Limitation Problem and Markov Basis  Gröbner Basis Techniques for Design of Experiments  Running Markov Chain Without Markov Bases
 Control code
 ocn802337870
 Dimensions
 unknown
 Extent
 1 online resource (xi, 298 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781461437192
 Isbn Type
 (electronic bk.)
 Lccn
 2012938710
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781461437192
 Other physical details
 illustrations
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)802337870
 Label
 Markov bases in algebraic statistics, Satoshi Aoki, Hisayuki Hara, Akimichi Takemura
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 287293) and index
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Part 1. Introduction and some relevant preliminary 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 Part 2. Properties of Markov bases  Definition of Markov Bases and Other Bases  Structure of Minimal Markov Bases  Method of Distance Reduction  Symmetry of Markov Bases Part 3. Markov bases for specific models  Decomposable Models of Contingency Tables  Markov Basis for NoThreeFactor Interaction Models and Some Other Hierarchical Models  TwoWay Tables with Structural Zeros and Fixed Subtable Sums  Regular Factorial Designs with Discrete Response Variables  Groupwise Selection Models  The Set of Moves Connecting Specific Fibers Part 4. Some other topics of algebraic statistics  Disclosure Limitation Problem and Markov Basis  Gröbner Basis Techniques for Design of Experiments  Running Markov Chain Without Markov Bases
 Control code
 ocn802337870
 Dimensions
 unknown
 Extent
 1 online resource (xi, 298 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781461437192
 Isbn Type
 (electronic bk.)
 Lccn
 2012938710
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781461437192
 Other physical details
 illustrations
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)802337870
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.massey.ac.nz/portal/MarkovbasesinalgebraicstatisticsSatoshi/miQtouUg5JY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.massey.ac.nz/portal/MarkovbasesinalgebraicstatisticsSatoshi/miQtouUg5JY/">Markov bases in algebraic statistics, Satoshi Aoki, Hisayuki Hara, Akimichi Takemura</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.massey.ac.nz/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.massey.ac.nz/">Massey University Library, University of New Zealand</a></span></span></span></span></div>