Invariant measures on groups and their use in statistics

Author(s) Robert A. Wijsman

IMS Lecture Notes Monogr. Ser., 14: 238pp. (1990). DOI: 10.1214/lnms/1215540653

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Institute of Mathematical Statistics Lecture Notes - Monograph Series, Volume 14

238 pp.

Published: 1990

First available in Project Euclid: 8 July 2008

MathSciNet: MR1218397

Digital Object Identifier: 10.1214/lnms/1215540653

ISBN: 0940600196

Subjects:

Primary: 62A05

Secondary: 22D99 , 28C10 , 62H15

Institute of Mathematical Statistics Lecture Notes - Monograph Series

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TABLE OF CONTENTS
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Miscellaneous Frontmatter

Robert A. Wijsman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 14, i-vi (1990). Open Access

Preface

Robert A. Wijsman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 14, vii-viii (1990). Open Access

1. Introduction

Robert A. Wijsman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 14, 1-11 (1990). https://doi.org/10.1214/lnms/1215540656 Open Access

2. Spaces, Functions, and Groups Acting on Spaces

Robert A. Wijsman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 14, 12-37 (1990). https://doi.org/10.1214/lnms/1215540657 Open Access

3. Differentiable Manifolds, Tangent Spaces, and Vector Fields

Robert A. Wijsman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 14, 38-52 (1990). https://doi.org/10.1214/lnms/1215540658 Open Access

4. Differential Forms on Manifolds

Robert A. Wijsman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 14, 53-66 (1990). https://doi.org/10.1214/lnms/1215540659 Open Access

5. Lie Groups and Lie Algebras

Robert A. Wijsman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 14, 67-97 (1990). https://doi.org/10.1214/lnms/1215540660 Open Access

6. Integration on Locally Compact Spaces According to Bourbaki

Robert A. Wijsman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 14, 98-118 (1990). https://doi.org/10.1214/lnms/1215540661 Open Access

7. Invariant and Relatively Invariant Measures on Locally Compact Groups and Spaces

Robert A. Wijsman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 14, 119-150 (1990). https://doi.org/10.1214/lnms/1215540662 Open Access

8. Factorization of Measures on Locally Compact Spaces Induced by the Actions of a Group, with Help of a Global Cross Section: Theory

Robert A. Wijsman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 14, 151-161 (1990). https://doi.org/10.1214/lnms/1215540663 Open Access

9. Application to Type I Problems: Special Group Structure

Robert A. Wijsman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 14, 162-171 (1990). https://doi.org/10.1214/lnms/1215540664 Open Access

10. Application to Type II Problems: No Special Group Structure, But Global Cross Section Exists

Robert A. Wijsman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 14, 172-181 (1990). https://doi.org/10.1214/lnms/1215540665 Open Access

11. Type II Problems: Global Slice

Robert A. Wijsman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 14, 182-190 (1990). https://doi.org/10.1214/lnms/1215540666 Open Access

12. Comparison of Two Factorization Methods: Cross Section Versus Proper Action

Robert A. Wijsman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 14, 191-197 (1990). https://doi.org/10.1214/lnms/1215540667 Open Access

13. Density Ratio of a Maximal Invariant

Robert A. Wijsman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 14, 198-212 (1990). https://doi.org/10.1214/lnms/1215540668 Open Access

References

Robert A. Wijsman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 14, 213-218 (1990). Open Access

List of Symbols

Robert A. Wijsman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 14, 219-224 (1990). Open Access

Subject Index

Robert A. Wijsman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 14, 225-238 (1990). https://doi.org/10.1214/lnms/1215540671 Open Access

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