NSF-CBMS Regional Conference Series in Probability and Statistics

Chapter 4: Models invariant under compact groups

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Our goal here is to understand the structure of probability measures which are invariant under a compact group. In the first section, a basic representation theorem is proved and is interpreted in terms of random variables. Section 2 contains some basic examples while applications to some robustness problems are given in Section 3.

Chapter information

Morris L. Eaton, Group Invariance in Applications in Statistics (Haywood, CA: Institute of Mathematical Sciences; Alexandria VA: American Statistical Association, 1989), 55-67

First available in Project Euclid: 1 May 2016

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Easton, Morris L. Chapter 4: Models invariant under compact groups. Group invariance in applications in statistics, 55--67, Institute of Mathematical Statistics and American Statistical Association, Haywood CA and Alexandria VA, 1989. https://projecteuclid.org/euclid.cbms/1462061034

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