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VOL. 1 | 1989 Chapter 2: Group actions and relatively invariant integrals

Abstract

In this chapter, group actions are reviewed and are illustrated with examples of relevance for statistical applications. Relatively invariant integrals (measures) are defined and examples are given. An important result, due to Weil, gives necessary and sufficient conditions for the existence and uniqueness of relatively invariant integrals when the group action is transitive. A discussion of invariant and equivariant functions closes out the chapter.

Information

Published: 1 January 1989
First available in Project Euclid: 1 May 2016

Digital Object Identifier: 10.1214/cbms/1462061032

Rights: Copyright © 1989 IMS and ASA

CHAPTER
22 PAGES


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