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November, 1985 Laws of the Iterated Logarithm for Time Changed Brownian Motion with an Application to Branching Processes
R. M. Huggins
Ann. Probab. 13(4): 1148-1156 (November, 1985). DOI: 10.1214/aop/1176992801

Abstract

A functional law of the iterated logarithm for time changed Brownian motion is given for stopping times that increase at a geometric rate. This result is applied to various quantities associated with a Galton-Watson process.

Citation

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R. M. Huggins. "Laws of the Iterated Logarithm for Time Changed Brownian Motion with an Application to Branching Processes." Ann. Probab. 13 (4) 1148 - 1156, November, 1985. https://doi.org/10.1214/aop/1176992801

Information

Published: November, 1985
First available in Project Euclid: 19 April 2007

zbMATH: 0582.60039
MathSciNet: MR806214
Digital Object Identifier: 10.1214/aop/1176992801

Subjects:
Primary: 60F15
Secondary: 60G42 , 60J80

Keywords: branching process , Brownian motion , Law of the iterated logarithm , martingale , stopping times

Rights: Copyright © 1985 Institute of Mathematical Statistics

Vol.13 • No. 4 • November, 1985
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