Lecture Notes in Statistics

Differential-Geometrical Methods in Statistics

Authors: Shun-ichi, Amari

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eBook $109.00
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  • ISBN 978-1-4612-5056-2
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Softcover $139.00
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  • ISBN 978-0-387-96056-2
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About this book

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

Table of contents (8 chapters)

  • Introduction

    Amari, Shun-ichi

    Pages 1-10

  • Differential Geometry of Statistical Models

    Amari, Shun-ichi

    Pages 11-65

  • α-Divergence and α-Projection in Statistical Manifold

    Amari, Shun-ichi

    Pages 66-103

  • Curved Exponential Families and Edgeworth Expansions

    Amari, Shun-ichi

    Pages 104-127

  • Asymptotic Theory of Estimation

    Amari, Shun-ichi

    Pages 128-160

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4612-5056-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $139.00
price for USA
valid through November 5, 2017
  • ISBN 978-0-387-96056-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Differential-Geometrical Methods in Statistics
Authors
Series Title
Lecture Notes in Statistics
Series Volume
28
Copyright
1985
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-1-4612-5056-2
DOI
10.1007/978-1-4612-5056-2
Softcover ISBN
978-0-387-96056-2
Series ISSN
0930-0325
Edition Number
1
Number of Pages
V, 294
Topics