Skip to main content
SpringerLink
Log in
Book cover
  • Book
  • © 1985

Differential-Geometrical Methods in Statistics

Authors:

  1. Shun-ichi Amari

    1. Faculty of Engineering Department of Mathematical Engineering and Information Physics, University of Tokyo, Tokyo, Japan

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Statistics (LNS, volume 28)

Sections

Buy it now

eBook USD 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, access via your institution.

Table of contents (8 chapters)

  1. Front Matter

    Pages N2-V
    PDF

  2. Introduction

    1. Introduction

      • Shun-ichi Amari
      Pages 1-10

  3. Geometrical Structures of a Family of Probability Distributions

    1. Differential Geometry of Statistical Models

      • Shun-ichi Amari
      Pages 11-65

  4. Higher-Order Asymptotic Theory of Statistical Inference in Curved Exponential Families

    2. Asymptotic Theory of Estimation

      • Shun-ichi Amari
      Pages 128-160

  5. Back Matter

    Pages 276-295
    PDF
Back to top

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
Back to top

Keywords

  • Estimator
  • probability
  • probability distribution
  • statistical inference
  • statistical model
  • statistics
Back to top

Authors and Affiliations

  • Faculty of Engineering Department of Mathematical Engineering and Information Physics, University of Tokyo, Tokyo, Japan

    Shun-ichi Amari

Back to top

Bibliographic Information

  • Book Title: Differential-Geometrical Methods in Statistics

  • Authors: Shun-ichi Amari

  • Series Title: Lecture Notes in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-5056-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1985

  • Softcover ISBN: 978-0-387-96056-2Published: 14 February 1990

  • eBook ISBN: 978-1-4612-5056-2Published: 06 December 2012

  • Series ISSN: 0930-0325

  • Series E-ISSN: 2197-7186

  • Edition Number: 1

  • Number of Pages: V, 294

  • Topics: Applications of Mathematics

Back to top
Access via your institution

Buy it now

eBook USD 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

search

Navigation