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VOL. 51 | 2006 Modified empirical CLT’s under only pre-Gaussian conditions
Shahar Mendelson, Joel Zinn

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

Abstract

We show that a modified Empirical process converges to the limiting Gaussian process whenever the limit is continuous. The modification depends on the properties of the limit via Talagrand's characterization of the continuity of Gaussian processes.

Information

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

zbMATH: 1122.60028
MathSciNet: MR2387768

Digital Object Identifier: 10.1214/074921706000000833

Subjects:
Primary: 60F05
Secondary: 60F17

Rights: Copyright © 2006, Institute of Mathematical Statistics

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