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Activity Number: 540
Type: Contributed
Date/Time: Thursday, August 2, 2007 : 10:30 AM to 12:20 PM
Sponsor: ENAR
Abstract - #309594
Title: The Theil-Sen Estimators in Modern Regression
Author(s): Hanxiang Peng*+ and Xin Dang
Companies: The University of Mississippi and University of Mississippi
Address: PO Box 38677, University, MS, 38677,
Keywords: depth function ; efficiency ; robustness ; Theil-Sen estimator ; semiparametric regression ; Asymptotics
Abstract:

In this talk, we propose the use of multivariate medians to construct the Theil-Sen estimators for various regression models. We show they are robust, consistent and asymptotic normal. Simulations are conducted to compare robustness, efficiency and intensity.


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Revised September, 2007