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eBook Differential-Geometrical Methods in Statistics (Lecture Notes in Statistics 28) ePub

by Shun-ichi Amari

eBook Differential-Geometrical Methods in Statistics (Lecture Notes in Statistics 28) ePub
Author: Shun-ichi Amari
Language: English
ISBN: 0387960562
ISBN13: 978-0387960562
Publisher: Springer New York (February 14, 1990)
Pages: 308
Category: Mathematics
Subcategory: Science
Rating: 4.1
Votes: 840
Formats: lit txt lrf lrf
ePub file: 1247 kb
Fb2 file: 1274 kb

ical Methods in Statistics.

ical Methods in Statistics. The author provides a geometric framework for a special class of test and estimation procedures for curved exponential families. The material and ideas presented in this volume are important and it is recommended to everybody interested in the connection between statistics and geometry.

The author provides a geometric framework for a special class of test and estimation procedures for curved exponential families.

oceedings{geometricalMI, title {ical methods in statistics. Lecture notes in statistics - A. Shun-ichi. author {Friedrich G{"o}tze}, year {1987} }. Friedrich Götze.

Обсудите книгу на. Нашли опечатку? Выделите ее мышкой и нажмите Ctrl+Enter.

Amari Sh. - Differential Geometrical Methods in Statistics (Lecture notes in statistics). Обсудите книгу на. Название: Differential Geometrical Methods in Statistics (Lecture notes in statistics). Автор: Amari Sh. Язык

The author provides a geometric framework for a special class of test and estimation procedures for curved exponential families.

Lecture Notes in Statistics. Chapter · February 2013 with 3 Reads

Lecture Notes in Statistics. Chapter · February 2013 with 3 Reads. How we measure 'reads'. These lecture notes are based on the theory of experimental design for courses given by Valerii Fedorov at a number of places, most recently at the University of Minnesota, the Vienna of University, and the University of Economics and Business Administra­ tion in Vienna. It was Peter Hackl's idea to publish these lecture notes and he took the lead in preparing and developing the text. While we mainly target graduate students in statistics, the book demands only a moderate background in calculus, matrix algebra and statistics.

3. S. Amari and N. Nagaoka Methods of Information Geometry Translations of Mathematical Monographs . 41 Am.

S. Amari Differential Geometrical Methods in Statistics Lecture Notes in Statistics 28 (1986) Springer-Verlag Heidelberg. 3. Math. 4. C. Atkinson and A. F. Mitchell "Raos Distance Measure " Samkhyã - The Indian Journal of Statistics 43 pp. 345-365 1981. 5. R. Banuelos and T. Carroll "Extremal Problems for Conditioned Brownian Motion and the Hyperbolic Metric. Fourier 50 no. 5 pp. 1507-.

Institute of Mathematical Statistics. Volume 10. Differential Geometry in Statistical Inference . l. Amari, O. E. Barndorff-Nielsen, R. Kass, S. Lauritzen, and C. Rao. Institute of Mathematical Statistics. They together seem to prove the usefulness of differential geometry as. a fundamental method in statistics.

The standard references in the field are Shun’ichi Amari and Hiroshi Nagaoka's book, Methods of Information Geometry, and the more recent book by Nihat Ay and . ical Methods in Statistics. Lecture Notes in Statistics. Berlin: Springer-Verlag.

The standard references in the field are Shun’ichi Amari and Hiroshi Nagaoka's book, Methods of Information Geometry, and the more recent book by Nihat Ay and others. A gentle introduction is given in the survey by Frank Nielsen. In 2018, the journal Information Geometry was released, which is devoted to the field.

From the reviews: "In this Lecture Note volume the author describes his differential-geometric approach to parametrical statistical problems summarizing the results he had published in a series of papers in the last five years. The author provides a geometric framework for a special class of test and estimation procedures for curved exponential families. ... ... The material and ideas presented in this volume are important and it is recommended to everybody interested in the connection between statistics and geometry ..." #Metrika#1 "More than hundred references are given showing the growing interest in differential geometry with respect to statistics. The book can only strongly be recommended to a geodesist since it offers many new insights into statistics on a familiar ground." #Manuscripta Geodaetica#2
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