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February, 1995 On the Distance Between Smoothed Empirical and Quantile Processes
Miklos Csorgo, Lajos Horvath
Ann. Statist. 23(1): 113-131 (February, 1995). DOI: 10.1214/aos/1176324458

Abstract

We consider Bahadur-Kiefer representations for smoothed quantile processes. We prove that the asymptotics of the distance between smoothed empirical and quantile processes can be completely different from that of the unsmoothed ones. We obtain a complete characterization of the possible limits.

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Miklos Csorgo. Lajos Horvath. "On the Distance Between Smoothed Empirical and Quantile Processes." Ann. Statist. 23 (1) 113 - 131, February, 1995. https://doi.org/10.1214/aos/1176324458

Information

Published: February, 1995
First available in Project Euclid: 11 April 2007

zbMATH: 0877.62046
MathSciNet: MR1331659
Digital Object Identifier: 10.1214/aos/1176324458

Subjects:
Primary: 62G30
Secondary: 60F05

Rights: Copyright © 1995 Institute of Mathematical Statistics

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Vol.23 • No. 1 • February, 1995
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