ENGLISH

Algebraic and Geometric Methods in Statistics

By Eva Riccomagno , Henry P. Wynn , Paolo Gibilisco , Maria Piera Rogantin

Book information

Publisher
Cambridge University Press
Year
2009
ISBN
0521896193, 9780521896191
LCC
QA276 .A539 2009
Open Library ID
OL24392575M
Language
english
Format
PDF
Filesize
4 MB (3701290 bytes)
Edition
1
Pages
448\448
Scanned
yes
Time added
2010-05-31 15:29:46
Математика;Теория вероятностей и математическая ст

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, 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.

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