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Weak convergence on non-separable metric spaces

Published online by Cambridge University Press:  01 July 2016

D. Pollard
D. Pollard*
Affiliation:
Ruhr-Universität Bochum
*
†Now at Yale University.
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Abstract

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Type
Eighth Conference on Stochastic Processes and their Applications
Information
Advances in Applied Probability , Volume 11 , Issue 2 , June 1979 , pp. 286 - 287
Copyright
Copyright © Applied Probability Trust 1979 

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References

Dudley, R. M. (1966) Weak convergence of probabilities on non-separable metric spaces and empirical measures on Euclidean spaces. Illinois J. Math. 10, 109–126.Google Scholar
Dudley, R. M. (1967) Measures on non-separable metric spaces. Illinois J. Math. 11, 449–453.Google Scholar
Dudley, R. M. (1978) Central limit theorems for empirical measures. Ann. Prob. CrossRefGoogle Scholar
Wichura, M. J. (1968) On the Weak Convergence of Non-Borel Probabilities on a Metric Space. Ph.D. Dissertation, Columbia University, New York.Google Scholar
Wichura, M. J. (1970) On the construction of almost uniformly convergent random variables with given weakly convergent image laws. Ann. Math. Statist. 41, 284–291.Google Scholar