Information Geometry 1st ed. 2017 Edition

Ebook Details

Authors

Nihat Ay, Jürgen Jost, Hông Vân Lê

Year 2017
Pages 407
Publisher Springer
Language en
ISBN 9783319564777
File Size 3.07 MB
File Format PDF
Download Counter 233
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Ebook Description

The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory.  Parametrised measure models are defined as fundamental geometric objects, which can be both finite or infinite dimensional. Based on these models, canonical tensor fields are introduced and further studied, including the Fisher metric and the Amari-Chentsov tensor, and embeddings of statistical manifolds are investigated.