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Characterizations of invariant distributions
Published online by Cambridge University Press: 24 October 2008
Abstract
Let (S, ρ) be a separable metric space and G a group of transformations of S. Necessary and sufficient conditions for a distribution on S to be invariant under G are derived in terms of the behaviour of the convolution of a random transformation from G and a random element of S.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 2 , March 1985 , pp. 349 - 355
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- Copyright © Cambridge Philosophical Society 1985