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Activity Number: 366
Type: Topic Contributed
Date/Time: Wednesday, August 9, 2006 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #306739
Title: Quantile Coupling for Median and Its Application to Nonparametric Robust Estimation
Author(s): Harrison Zhou*+
Companies: Yale University
Address: 24 Hillhouse Ave., New Haven, CT, 06511,
Keywords: quantile coupling ; robust estimation ; function estimation ; asymptotic equivalence ; large deviation ; KMT/Hungarian construction
Abstract:

We give a sharp quantile coupling bound for a median statistic with a normal random variable, which improves the classical quantile coupling bounds with a rate under certain smoothness conditions for the distribution function. Its application to nonparametric robust wavelet estimation is discussed.


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