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)

Differential geometry in statistical inference

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

Series Editor: Shanti S. Gupta

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

Subjects:

62-02 (primary)
53C99 (secondary)
62B10 (secondary)
62F12 (secondary)

Permanent link to this monograph: http://projecteuclid.org/euclid.lnms/1215467056
Mathmatical Reviews number (MathSciNet): MR932246
ISBN:0-940600-12-9

Miscellaneous Frontmatter

i-iii

Chapter 1: Introduction

Robert E. Kass; 1-18

Chapter 2: Differential Geometrical Theory of Statistics

Shun-ichi Amari; 19-94

Chapter 3: Differential and Integral Geometry in Statistical Inference

O. E. Barndorff-Nielsen; 95-162

Chapter 4: Statistical Manifolds

Steffen L. Lauritzen; 163-216

Chapter 5: Differential Metrics in Probability Spaces

C. R. Rao; 217-240

Differential geometry in statistical inference

Subjects:

Institute of Mathematical Statistics Lecture Notes - Monograph Series