Algebraic and geometric methods in statistics

By Paolo Gibilisco

Subjects: Algebra, Algebraic Geometry, Statistics, problems, exercises, etc., Statistik, Geometrisches Modell, Information storage and retrieval systems, geography, Mathematical statistics

Description: "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 and, 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 by leading researchers in their respective fields. Parts I and II are mainly on contingency table analysis and design of experiments, Part III dwells on both classical and quantum information geometry. Finally, Part IV provides examples of the interplay between algebraic statistics and information geometry. Computer code and some proofs are also available online, where key examples are also developed in further detail."--BOOK JACKET.