Institute of Mathematical Statistics Lecture Notes - Monograph Series

Differential geometry in statistical inference

S.-I. Amari, O. E. Barndorff-Nielsen, R. E. Kass, S. L. Lauritzen, and C. R. Rao
Shanti S. Gupta (Series Editor)

Book information

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

Contributor
Shanti S. Gupta (Series Editor)

Publication information
Lecture Notes--Monograph Series, Volume 10
Hayward, CA: Institute of Mathematical Statistics, 1987
240 pp.

Dates
Publication date: 1987
First available in Project Euclid: 7 July 2008

Permanent link to this book
https://projecteuclid.org/euclid.lnms/1215467056

ISBN:
0-940600-12-9

Mathematical Reviews (MathSciNet):
MR 932246

Subjects
Primary: 62-02: Research exposition (monographs, survey articles)
Secondary: 53C99: None of the above, but in this section 62B10: Information-theoretic topics [See also 94A17] 62F12: Asymptotic properties of estimators

Rights
Copyright © 1987, Institute of Mathematical Statistics

Citation
S.-I. Amari, O. E. Barndorff-Nielsen, R. E. Kass, S. L. Lauritzen, and C. R. Rao Differential geometry in statistical inference: (Hayward, CA: Institute of Mathematical Statistics, 1987)

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Miscellaneous Frontmatteri - iii
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Chapter 1: IntroductionRobert E. Kass; 1 - 18
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Chapter 2: Differential Geometrical Theory of StatisticsShun-ichi Amari; 19 - 94
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Chapter 3: Differential and Integral Geometry in Statistical InferenceO. E. Barndorff-Nielsen; 95 - 162
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Chapter 4: Statistical ManifoldsSteffen L. Lauritzen; 163 - 216
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Chapter 5: Differential Metrics in Probability SpacesC. R. Rao; 217 - 240
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