Open Access
2012 Asymptotic theorems for kernel U-quantiles
Stefan Ralescu
Electron. J. Statist. 6: 664-671 (2012). DOI: 10.1214/12-EJS687

Abstract

For a locally smooth statistical model, we investigate kernel U-quantiles estimators. Under suitable assumptions, we establish a strong Bahadur representation theorem, an invariance principle, and the asymptotic normality for randomly indexed sequences of observations.

Citation

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Stefan Ralescu. "Asymptotic theorems for kernel U-quantiles." Electron. J. Statist. 6 664 - 671, 2012. https://doi.org/10.1214/12-EJS687

Information

Published: 2012
First available in Project Euclid: 18 April 2012

zbMATH: 1276.62028
MathSciNet: MR2988423
Digital Object Identifier: 10.1214/12-EJS687

Subjects:
Primary: 60K35

Keywords: asymptotic normality , Bahadur representation , Kernel estimator , U-statistics

Rights: Copyright © 2012 The Institute of Mathematical Statistics and the Bernoulli Society

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