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Probability measures with trivial Stam groups

Published online by Cambridge University Press:  24 October 2008

Gavin Brown  and
William Mohan
Gavin Brown
Affiliation:
University of New South Wales
William Mohan
Affiliation:
University of Adelaide
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Extract

Let μ be a probability measure on the real line ℝ, x a real number and δ(x) the probability atom concentrated at x. Stam made the interesting observation that either

or else

(ii) δ(x)* μn, are mutually singular for all positive integers n.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 91 , Issue 3 , May 1982 , pp. 477 - 484
Copyright
Copyright © Cambridge Philosophical Society 1982

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References

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