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October, 1994 Necessary and Sufficient Conditions for the Strassen Law of the Iterated Logarithm in Nonuniform Topologies
Paul Deheuvels, Mikhail A. Lifshits
Ann. Probab. 22(4): 1838-1856 (October, 1994). DOI: 10.1214/aop/1176988486

Abstract

We give a necessary and sufficient condition for the Strassen functional law of the iterated logarithm for the Wiener process to hold when the topology is defined by a general class of norms on $\mathbb{C}(0, 1)$.

Citation

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Paul Deheuvels. Mikhail A. Lifshits. "Necessary and Sufficient Conditions for the Strassen Law of the Iterated Logarithm in Nonuniform Topologies." Ann. Probab. 22 (4) 1838 - 1856, October, 1994. https://doi.org/10.1214/aop/1176988486

Information

Published: October, 1994
First available in Project Euclid: 19 April 2007

zbMATH: 0840.60027
MathSciNet: MR1331207
Digital Object Identifier: 10.1214/aop/1176988486

Subjects:
Primary: 60F10
Secondary: 60F15 , 60F17 , 60G15

Keywords: Brownian motion , Laws of the iterated logarithm , strong laws , Wiener process

Rights: Copyright © 1994 Institute of Mathematical Statistics

Vol.22 • No. 4 • October, 1994
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