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A note on convergence of probability measures

Part of: Probability theory on algebraic and topological structures

Published online by Cambridge University Press:  14 July 2016

D. R. Grey
D. R. Grey*
Affiliation:
University of Sheffield
*
∗ Postal address: Department of Probability and Statistics, University of Sheffield, Sheffield S3 7RH, UK. Email address: d.grey@sheffield.ac.uk
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Abstract

We present, discuss and prove an apparently unfamiliar result in the convergence of probability measures.

Keywords

Countable additivitystrong convergencesigned measuretotal variation

MSC classification

Primary: 60B10: Convergence of probability measures
Type
Short Communications
Information
Journal of Applied Probability , Volume 38 , Issue 4 , December 2001 , pp. 1055 - 1058
Copyright
Copyright © by the Applied Probability Trust 2001 

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References

Durrett, R. (1996). Probability: Theory and Examples, 2nd edn. Duxbury Press, Belmont, CA.Google Scholar
Halmos, P. R. (1950). Measure Theory. Van Nostrand, New York.Google Scholar
Stoyanov, J. M. (1997). Counterexamples in Probability, 2nd edn. John Wiley, Chichester.Google Scholar