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VOL. 51 | 2006 Revisiting two strong approximation results of Dudley and Philipp
Philippe Berthet, David M. Mason

Editor(s) Evarist Giné, Vladimir Koltchinskii, Wenbo Li, Joel Zinn

Abstract

We demonstrate the strength of a coupling derived from a Gaussian approximation of Zaitsev (1987a) by revisiting two strong approximation results for the empirical process of Dudley and Philipp (1983), and using the coupling to derive extended and refined versions of them.

Information

Published: 1 January 2006
First available in Project Euclid: 28 November 2007

zbMATH: 1122.60031
MathSciNet: MR2387767

Digital Object Identifier: 10.1214/074921706000000824

Subjects:
Primary: 62E17, 62E20
Secondary: 60F15

Rights: Copyright © 2006, Institute of Mathematical Statistics

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