Overview

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Author:   Shun-ichi Amari ,  Hiroshi Nagaoka
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   UK ed.
Volume:   No. 191
Dimensions:   Width: 18.00cm , Height: 1.10cm , Length: 26.00cm
Weight:   0.391kg
ISBN:  

9780821843024

ISBN 10:   0821843028
Pages:   206
Publication Date:   30 April 2007
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Preface Preface to the English edition Elementary differential geometry The geometric structure of statistical models Dual connections Statistical inference and differential geometry The geometry of time series and linear systems Multiterminal information theory and statistical inference Information geometry for quantum systems Miscellaneous topics Guide to the bibliography Bibliography Index

Reviews

Presents for the first time the entirety of the emerging field of information geometry ... this book will play a key role for the further progress of information geometry. - Zentralblatt MATH Until now there have been no expository textbooks covering the methods and applications of information geometry. The present monograph will be extremely useful in dissemination of knowledge in this area and promoting much-needed research ...This monograph is a welcome and much-needed addition to the literature on the use of differential geometry methods in statistics, information theory and control theory. Research workers in statistics and information theory will greatly benefit by studying the concepts and methods discussed in the monograph. - Mathematical Reviews

Author Information

Shun-ichi Amari, RIKEN Brain Science Institute, Saitama, Japan Hiroshi Nagaoka, University of Electro-Communications, Tokyo, Japan

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