Morris L. Eaton, Multivariate Statistics: A Vector Space Approach (Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2007)



Institute of Mathematical Statistics Lecture Notes - Monograph Series

Multivariate Statistics: A Vector Space Approach

Morris L. Eaton

Lecture Notes--Monograph Series, Volume 53
Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2007.
512 pp.

Abstract:

The purpose of this book is to present a version of multivariate statistical theory in which vector space and invariance methods replace, to a large extent, more traditional multivariate methods. The book is a text. Over the past ten years, various versions have been used for graduate multivariate courses at the University of Chicago, the University of Copenhagen, and the University of Minnesota. Designed for a one year lecture course or for independent study, the book contains a full complement of problems and problem solutions.

Subjects:

Multivariate analysis
Vector spaces
62Hxx (primary)
62A05 (secondary)
Permanent link to this monograph: http://projecteuclid.org/euclid.lnms/1196285102
ISBN:978094060069
ISBN:0-940600-69-2
Mathmatical Reviews number (MathSciNet): MR0716321
Zentralblatt Math Identifier: 0587.62097

Copyright © 2007, Institute of Mathematical Statistics.

Title and Copyright Pages

Table of Contents

iii-iv

Preface

vi-vii

Notation

viii

Chapter 1: Vector Space Theory

1-69

Chapter 2: Random Vectors

70-102

Chapter 3: The normal distribution on a vector space

103-131

Chapter 4: Linear statistical models

132-158

Chapter 5: Matrix Factorizations and Jacobians

159-183

Chapter 6: Topological Groups and Invariant Measures

184-232

Chapter 7: First applications of invariance

233-301

Chapter 8: The Wishart Distribution

302-333

Chapter 9: Inference for means in multivariate linear models

334-402

Chapter I0: Canonical correlation coefficients

403-463

Appendix

466-470

Comments on Selected Problems

471-501

Bibliography

503-506

Index

507-512

Institute of Mathematical Statistics Lecture Notes - Monograph Series

Institute of Mathematical Statistics Lecture Notes - Monograph Series