The Resource Algebraic and geometric methods in statistics, edited by Paolo Gibilisco [and others], (electronic resource)
Algebraic and geometric methods in statistics, edited by Paolo Gibilisco [and others], (electronic resource)
Resource Information
The item Algebraic and geometric methods in statistics, edited by Paolo Gibilisco [and others], (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Algebraic and geometric methods in statistics, edited by Paolo Gibilisco [and others], (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This uptodate account of algebraic statistics and information geometry explores the emerging connections between the two disciplines, demonstrating how they can be used in design of experiments and how they benefit our understanding of statistical models, in particular, exponential models. This book presents a new way of approaching classical statistical problems and raises scientific questions that would never have been considered without the interaction of these two disciplines. Beginning with a brief introduction to each area, using simple illustrative examples, the book then proceeds with a collection of reviews and some new results written by leading researchers in their respective fields. Part III dwells in both classical and quantum information geometry, containing surveys of key results and new material. Finally, Part IV provides examples of the interplay between algebraic statistics and information geometry. Computer code and proofs are also available online, where key examples are developed in further detail.
 Language
 eng
 Extent
 1 online resource (xvi, 365 pages)
 Contents

 Algebraic and geometric methods in statistics
 Contingency tables
 Maximum likelihood estimation in latent class models for contingency table data / S.E. Fienberg [and others]
 Algebraic geometry of 2x2 contingency tables / A.B. SlavkoviÄ‡ and S.E. Fienberg
 Model selection for contingency tables with algebraic statistics / A. Krampe and S. Kuhnt
 Markov chains, quotient ideals and connectivity with positive margins / Y. Chen, I. Dinwoodie and R. Yoshida
 Algebraic modelling of category distinguishability / E. Carlini and F. Rapallo
 The algebraic complexity of maximum likelihood estimation for bivariate missing data / S. Hosten and S. Sullivant
 The generalised shuttle algorithm / A. Dobra and S.E. Fienberg
 Designed experiments
 Generalised design: interpolation and statistical modelling over varieties / H. MaruriAguilar and H.P. Wynn
 Design of experiments and biochemical network inference / R. Laubennacher and B. Stigler
 Replicated measurements and algebraic statistics / R. Notari and E. Riccomagno
 Indicator function and sudoku designs / R. Fontana and M.P. Rogantin
 Markov basis for design of experiments with threelevel factors / S. Aoki and A. Takemura
 Information geometry
 Introduction to nonparametric estimation / R.F. Streater
 The Banach manifold of quantum states / R.F. Streater
 On quantum information manifolds / A. Jencova
 Axiomatic geometrics for text documents / G. Lebanon
 Exponenetial manifold by reproducing kernel Hilbert spaces / K. Fukumizu
 Geometry of extended exponential models / D. Imparato and B. Trivellato
 Quantum statistics and measures of quantum information / F. Hansen
 Information geometry and algebraic statistics
 Algebraic varieties vs. differentiable manifolds in statistical models / G. Pistone
 Isbn
 9780521896191
 Label
 Algebraic and geometric methods in statistics
 Title
 Algebraic and geometric methods in statistics
 Statement of responsibility
 edited by Paolo Gibilisco [and others]
 Title variation
 Algebraic & Geometric Methods in Statistics
 Language
 eng
 Summary
 This uptodate account of algebraic statistics and information geometry explores the emerging connections between the two disciplines, demonstrating how they can be used in design of experiments and how they benefit our understanding of statistical models, in particular, exponential models. This book presents a new way of approaching classical statistical problems and raises scientific questions that would never have been considered without the interaction of these two disciplines. Beginning with a brief introduction to each area, using simple illustrative examples, the book then proceeds with a collection of reviews and some new results written by leading researchers in their respective fields. Part III dwells in both classical and quantum information geometry, containing surveys of key results and new material. Finally, Part IV provides examples of the interplay between algebraic statistics and information geometry. Computer code and proofs are also available online, where key examples are developed in further detail.
 Assigning source
 Provided by publisher
 Cataloging source
 UkCbUP
 Index
 index present
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Gibilisco, Paolo
 Series statement
 Cambridge Social Sciences eBooks
 http://library.link/vocab/subjectName

 Mathematical statistics
 Geometry, Algebraic
 Label
 Algebraic and geometric methods in statistics, edited by Paolo Gibilisco [and others], (electronic resource)
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Algebraic and geometric methods in statistics  Contingency tables  Maximum likelihood estimation in latent class models for contingency table data / S.E. Fienberg [and others]  Algebraic geometry of 2x2 contingency tables / A.B. SlavkoviÄ‡ and S.E. Fienberg  Model selection for contingency tables with algebraic statistics / A. Krampe and S. Kuhnt  Markov chains, quotient ideals and connectivity with positive margins / Y. Chen, I. Dinwoodie and R. Yoshida  Algebraic modelling of category distinguishability / E. Carlini and F. Rapallo  The algebraic complexity of maximum likelihood estimation for bivariate missing data / S. Hosten and S. Sullivant  The generalised shuttle algorithm / A. Dobra and S.E. Fienberg  Designed experiments  Generalised design: interpolation and statistical modelling over varieties / H. MaruriAguilar and H.P. Wynn  Design of experiments and biochemical network inference / R. Laubennacher and B. Stigler  Replicated measurements and algebraic statistics / R. Notari and E. Riccomagno  Indicator function and sudoku designs / R. Fontana and M.P. Rogantin  Markov basis for design of experiments with threelevel factors / S. Aoki and A. Takemura  Information geometry  Introduction to nonparametric estimation / R.F. Streater  The Banach manifold of quantum states / R.F. Streater  On quantum information manifolds / A. Jencova  Axiomatic geometrics for text documents / G. Lebanon  Exponenetial manifold by reproducing kernel Hilbert spaces / K. Fukumizu  Geometry of extended exponential models / D. Imparato and B. Trivellato  Quantum statistics and measures of quantum information / F. Hansen  Information geometry and algebraic statistics  Algebraic varieties vs. differentiable manifolds in statistical models / G. Pistone
 Control code
 CR9780511642401
 Dimensions
 unknown
 Extent
 1 online resource (xvi, 365 pages)
 Form of item
 online
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9780521896191
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 digital, PDF file(s).
 Specific material designation
 remote
 System control number
 (OCoLC)1097164953
 Label
 Algebraic and geometric methods in statistics, edited by Paolo Gibilisco [and others], (electronic resource)
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Algebraic and geometric methods in statistics  Contingency tables  Maximum likelihood estimation in latent class models for contingency table data / S.E. Fienberg [and others]  Algebraic geometry of 2x2 contingency tables / A.B. SlavkoviÄ‡ and S.E. Fienberg  Model selection for contingency tables with algebraic statistics / A. Krampe and S. Kuhnt  Markov chains, quotient ideals and connectivity with positive margins / Y. Chen, I. Dinwoodie and R. Yoshida  Algebraic modelling of category distinguishability / E. Carlini and F. Rapallo  The algebraic complexity of maximum likelihood estimation for bivariate missing data / S. Hosten and S. Sullivant  The generalised shuttle algorithm / A. Dobra and S.E. Fienberg  Designed experiments  Generalised design: interpolation and statistical modelling over varieties / H. MaruriAguilar and H.P. Wynn  Design of experiments and biochemical network inference / R. Laubennacher and B. Stigler  Replicated measurements and algebraic statistics / R. Notari and E. Riccomagno  Indicator function and sudoku designs / R. Fontana and M.P. Rogantin  Markov basis for design of experiments with threelevel factors / S. Aoki and A. Takemura  Information geometry  Introduction to nonparametric estimation / R.F. Streater  The Banach manifold of quantum states / R.F. Streater  On quantum information manifolds / A. Jencova  Axiomatic geometrics for text documents / G. Lebanon  Exponenetial manifold by reproducing kernel Hilbert spaces / K. Fukumizu  Geometry of extended exponential models / D. Imparato and B. Trivellato  Quantum statistics and measures of quantum information / F. Hansen  Information geometry and algebraic statistics  Algebraic varieties vs. differentiable manifolds in statistical models / G. Pistone
 Control code
 CR9780511642401
 Dimensions
 unknown
 Extent
 1 online resource (xvi, 365 pages)
 Form of item
 online
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9780521896191
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 digital, PDF file(s).
 Specific material designation
 remote
 System control number
 (OCoLC)1097164953
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/Algebraicandgeometricmethodsinstatistics/yA0RDL2f2V8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/Algebraicandgeometricmethodsinstatistics/yA0RDL2f2V8/">Algebraic and geometric methods in statistics, edited by Paolo Gibilisco [and others], (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>