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Differential Geometry in Statistical Inference
Language: en
Pages: 254
Authors: Shun'ichi Amari
Categories: Geometry, Differential
Type: BOOK - Published: 1987 - Publisher: IMS

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Differential-Geometrical Methods in Statistics
Language: en
Pages: 302
Authors: Shun-ichi Amari
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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From the reviews: "In this Lecture Note volume the author describes his differential-geometric approach to parametrical statistical problems summarizing the res
Differential Geometry and Statistics
Language: en
Pages: 292
Authors: M.K. Murray
Categories: Mathematics
Type: BOOK - Published: 1993-04-01 - Publisher: CRC Press

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Ever since the introduction by Rao in 1945 of the Fisher information metric on a family of probability distributions, there has been interest among statistician
Methods of Information Geometry
Language: en
Pages: 220
Authors: Shun-ichi Amari
Categories: Computers
Type: BOOK - Published: 2000 - Publisher: American Mathematical Soc.

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Information geometry provides the mathematical sciences with a fresh framework of analysis. This book presents a comprehensive introduction to the mathematical
Information Geometry and Its Applications
Language: en
Pages: 378
Authors: Shun-ichi Amari
Categories: Mathematics
Type: BOOK - Published: 2016-02-02 - Publisher: Springer

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This is the first comprehensive book on information geometry, written by the founder of the field. It begins with an elementary introduction to dualistic geomet