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Extensions of the Darling and Erdös theorem on the maximum of normalized sums

Published online by Cambridge University Press:  01 July 2016

Galen R. Shorack
Galen R. Shorack*
Affiliation:
University of Washington
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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. 288 - 289
Copyright
Copyright © Applied Probability Trust 1979 

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References

1. Darling, D. and Erdös, P. (1956) A limit theorem for the maximum of normalized sums of independent random variables. Duke Math. J. 23, 143–155.Google Scholar
2. Phillip, W. and Stout, W. (1975) Almost sure invariance principles for sums of weakly dependent random variables. Mem. Amer. Math. Soc. No. 161.Google Scholar