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Algebraic and geometric methods in statistics

Gibilisco, Paolo, Riccomagno, Eva, Rogantin, Maria Piera and Wynn, Henry P. (2009) Algebraic and geometric methods in statistics. Cambridge University Press, Cambridge, UK. ISBN 9780521896191

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Abstract

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.

Item Type: Book
Official URL: http://www.cambridge.org/
Additional Information: © 2009 Cambridge University Press
Library of Congress subject classification: H Social Sciences > HA Statistics
Q Science > QA Mathematics
Sets: Research centres and groups > Decision Support and Risk Group (DSRG)
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 15 Nov 2011 14:32
URL: http://eprints.lse.ac.uk/39597/

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