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Abstract Details

Activity Number: 527
Type: Contributed
Date/Time: Wednesday, August 1, 2012 : 10:30 AM to 12:20 PM
Sponsor: SSC
Abstract - #306658
Title: Stein Rules in Some Heteroscedastic Linear Model
Author(s): Severien Nkurunziza*+
Companies: University of Windsor
Address: 401 Sunset Avenue, Windsor, ON, N9B 3P4, Canada
Keywords: Asymptotic distributional risk ; Heteroscedastic linear model ; Shrinkage estimators ; Stein rules ; LSE
Abstract:

In this paper, we study inference problem concerning the regression parameter vector of some heteroscedastic linear model. More specifically, we are interested in the scenario where the parameter vector is suspected to lie in some linear subspace. Given such imprecise prior information, we develop shrinkage estimators which dominates improve over the performance of the classical least squares estimator. Under an asymptotic distributional quadratic risk criterion, we establish the relative dominance of the established estimators. Further, we carry out some simulation studies for observation periods of small and moderate lengths of time that illustrate the performance of the proposed method.


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