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The disintegration of invariant measures

Published online by Cambridge University Press:  24 October 2008

B. D. Ripley
B. D. Ripley
Affiliation:
Statistical Laboratory, University of Cambridge
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Extract

Krickeberg (in (5) and (6)) showed that disintegration applied to invariant measures sometimes yields an integral representation which is useful in analysing the moment measures of point processes. His results, based on Bourbaki's disintegration theory, raised several questions. We refine the theory, using a more general disintegration theorem, and answer his questions by several examples. Finally we consider how far the enlarged theory is applicable in stochastic geometry.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 79 , Issue 2 , March 1976 , pp. 337 - 341
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

REFERENCES

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