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

• PrefacePreface to the English editionElementary differential geometryThe geometric structure of statistical modelsDual connectionsStatistical inference and differential geometryThe geometry of time series and linear systemsMultiterminal information theory and statistical inferenceInformation geometry for quantum systemsMiscellaneous topicsGuide to the bibliographyBibliographyIndex

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

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

• PrefacePreface to the English editionElementary differential geometryThe geometric structure of statistical modelsDual connectionsStatistical inference and differential geometryThe geometry of time series and linear systemsMultiterminal information theory and statistical inferenceInformation geometry for quantum systemsMiscellaneous topicsGuide to the bibliographyBibliographyIndex

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

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

• PrefacePreface to the English editionElementary differential geometryThe geometric structure of statistical modelsDual connectionsStatistical inference and differential geometryThe geometry of time series and linear systemsMultiterminal information theory and statistical inferenceInformation geometry for quantum systemsMiscellaneous topicsGuide to the bibliographyBibliographyIndex

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