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Institute of Mathematical Statistics Lecture Notes - Monograph Series

Group representations in probability and statistics

Persi Diaconis

Series Editor: Shanti S. Gupta

Lecture Notes--Monograph Series, Volume 11
Hayward, CA: Institute of Mathematical Statistics, 1988.
198 pp.

Subjects:

60-02 (primary)
20C99 (secondary)
62-02 (secondary)
Permanent link to this monograph: http://projecteuclid.org/euclid.lnms/1215467407
Mathmatical Reviews number (MathSciNet): MR964069
ISBN:0-940600-14-5

Copyright © 1988, Institute of Mathematical Statistics.

Miscellaneous Frontmatter

i-iv

Preface

v-vi

Chapter 1: Introduction

1-4

Chapter 2: Basics of Representations and Characters

5-16

Chapter 3: Random Walks on Groups

17-68

Chapter 4: Probabilistic Arguments

69-91

Chapter 5: Examples of Data on Permutations and Homogeneous Spaces

92-101

Chapter 6: Metrics on Groups, and Their Statistical Uses

102-130

Chapter 7: Representation Theory of the Symmetric Group

131-140

Chapter 8: Spectral Analysis

141-166

Chapter 9: Models

167-178

References

179-192

Index

193-198

Institute of Mathematical Statistics Lecture Notes - Monograph Series

Institute of Mathematical Statistics Lecture Notes - Monograph Series