Abstract #300379

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JSM 2003 Abstract #300379
Activity Number: 54
Type: Contributed
Date/Time: Sunday, August 3, 2003 : 4:00 PM to 5:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #300379
Title: On Comparing the Robustness of Affine-Equivariant Location Estimators
Author(s): Ronald H. Randles*+
Companies: University of Florida
Address: Dept. of Statistics, PO Box 118545, Gainesville, FL, 32611-8545,
Keywords: robustness ; location estimators ; affine-equivariant ; contamination
Abstract:

A contamination reaction rate is described which can be used to compare the robustness of certain affine-equivariant location estimators. It is a functional derivative related to breakdown. It describes the reaction of an estimator to a fixed amount of contamination as the contaminant gets closer to the target distribution in situations in which the estimator does not break down. A ratio of reaction rates is used to compare the robustness of selected estimators.


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