Differential geometry in statistical inference

Author(s) S.-I. Amari, O. E. Barndorff-Nielsen, R. E. Kass, S. L. Lauritzen, C. R. Rao

IMS Lecture Notes Monogr. Ser., 10: 240pp. (1987). DOI: 10.1214/lnms/1215467056

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Institute of Mathematical Statistics Lecture Notes - Monograph Series, Volume 10

240 pp.

Published: 1987

First available in Project Euclid: 7 July 2008

MathSciNet: MR932246

Digital Object Identifier: 10.1214/lnms/1215467056

ISBN: 0940600129

Subjects:

Primary: 62-02

Secondary: 53C99 , 62B10 , 62F12

Institute of Mathematical Statistics Lecture Notes - Monograph Series

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Institute of Mathematical Statistics

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Miscellaneous Frontmatter

S.-I. Amari , O. E. Barndorff-Nielsen , R. E. Kass , S. L. Lauritzen , C. R. Rao

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 10, i-iii (1987). Open Access

Chapter 1: Introduction

Robert E. Kass

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 10, 1-18 (1987). https://doi.org/10.1214/lnms/1215467058 Open Access

Chapter 2: Differential Geometrical Theory of Statistics

Shun-ichi Amari

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 10, 19-94 (1987). https://doi.org/10.1214/lnms/1215467059 Open Access

O. E. Barndorff-Nielsen

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 10, 95-162 (1987). https://doi.org/10.1214/lnms/1215467060 Open Access

Chapter 4: Statistical Manifolds

Steffen L. Lauritzen

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 10, 163-216 (1987). https://doi.org/10.1214/lnms/1215467061 Open Access

Chapter 5: Differential Metrics in Probability Spaces

C. R. Rao

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 10, 217-240 (1987). https://doi.org/10.1214/lnms/1215467062 Open Access