Lim Inf Results for Gaussian Samples and Chung's Functional LIL

James Kuelbs; Wenbo V. Li; Michel Talagrand

doi:10.1214/aop/1176988488

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Home > Journals > Ann. Probab. > Volume 22 > Issue 4 > Article

October, 1994 Lim Inf Results for Gaussian Samples and Chung's Functional LIL

James Kuelbs, Wenbo V. Li, Michel Talagrand

Ann. Probab. 22(4): 1879-1903 (October, 1994). DOI: 10.1214/aop/1176988488

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Abstract

Lim inf results for Gaussian samples are obtained. In particular, there are applications to rates of convergence for the functional form of Chung's law of the iterated logarithm for Brownian motion.

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James Kuelbs. Wenbo V. Li. Michel Talagrand. "Lim Inf Results for Gaussian Samples and Chung's Functional LIL." Ann. Probab. 22 (4) 1879 - 1903, October, 1994. https://doi.org/10.1214/aop/1176988488

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Published: October, 1994

First available in Project Euclid: 19 April 2007

zbMATH: 0849.60022

MathSciNet: MR1331209

Digital Object Identifier: 10.1214/aop/1176988488

Subjects:

Primary: 60F15

Secondary: 60F17 , 60G15 , 60G17

Keywords: Brownian motion , Chung's functional LIL , Gaussian samples

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Vol.22 • No. 4 • October, 1994

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James Kuelbs, Wenbo V. Li, Michel Talagrand "Lim Inf Results for Gaussian Samples and Chung's Functional LIL," The Annals of Probability, Ann. Probab. 22(4), 1879-1903, (October, 1994)

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