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.
Professor Paolo Gibilisco is a Researcher in Mathematical Analysis in
the School of Economics at the University of Rome 'Tor Vergata'.
Eva Riccomagno is Associate Professor in the Department of Mathematics
at the University of Genova.
Maria Piera Rogantin is Associate Professor in the Department of
Mathematics at the University of Genova.
Henry P. Wynn is Professor of Statistics at the London School of
Economics from 2003, where he leads the Decision Support and Risk Group. He holds the Guy
Medal in Silver from the Royal Statistical Society, is an Honorary Fellow of the Institute
of Actuaries, and a Fellow of the Institute of Mathe
Table of Contents
Pt. I Contingency tables 25
Pt. II Designed experiments 157
Pt. III Information geometry 239
Pt. IV Information geometry and algebraic statistics 339
Pt. V Online supplements (available for download from
cambridge.org/9780521896191) 367
385 pages, Hardcover