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January 1996 A short and elementary proof of the main Bahadur-Kiefer theorem
John H. J. Einmahl
Ann. Probab. 24(1): 526-531 (January 1996). DOI: 10.1214/aop/1042644730

Abstract

A short proof of the lower bound in the strong version of the famous Theorem 1A in Kiefer (1970) on the Bahadur-Kiefer process is presented. The proof is elementary and, in particular, does not use strong approximations.

Citation

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John H. J. Einmahl. "A short and elementary proof of the main Bahadur-Kiefer theorem." Ann. Probab. 24 (1) 526 - 531, January 1996. https://doi.org/10.1214/aop/1042644730

Information

Published: January 1996
First available in Project Euclid: 15 January 2003

zbMATH: 0897.62046
MathSciNet: MR1387649
Digital Object Identifier: 10.1214/aop/1042644730

Subjects:
Primary: 60F15 , 62G30

Keywords: Bahadur-Kiefer process , empirical and quantile process , strong law

Rights: Copyright © 1996 Institute of Mathematical Statistics

Vol.24 • No. 1 • January 1996
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