The Resource Algebraic and geometric methods in statistics, edited by Paolo Gibilisco [and others]

Algebraic and geometric methods in statistics, edited by Paolo Gibilisco [and others]

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
Contributor
Editor
Subject
Language
eng
Summary
This up-to-date 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
Cataloging source
UkCbUP
Dewey number
519.5
Index
index present
LC call number
QA276
LC item number
.A44 2009
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Gibilisco, Paolo
http://library.link/vocab/subjectName
  • Mathematical statistics
  • Geometry, Algebraic
Label
Algebraic and geometric methods in statistics, edited by Paolo Gibilisco [and others]
Link
https://doi.org/10.1017/CBO9780511642401
Instantiates
Publication
Note
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
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. Slavković 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. Maruri-Aguilar 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 three-level factors / S. Aoki and A. Takemura -- Information geometry -- Introduction to non-parametric 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
Extent
1 online resource (xvi, 365 pages)
Form of item
online
Isbn
9780511642401
Isbn Type
(ebook)
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
(UkCbUP)CR9780511642401
Label
Algebraic and geometric methods in statistics, edited by Paolo Gibilisco [and others]
Link
https://doi.org/10.1017/CBO9780511642401
Publication
Note
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
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. Slavković 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. Maruri-Aguilar 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 three-level factors / S. Aoki and A. Takemura -- Information geometry -- Introduction to non-parametric 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
Extent
1 online resource (xvi, 365 pages)
Form of item
online
Isbn
9780511642401
Isbn Type
(ebook)
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
(UkCbUP)CR9780511642401

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