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Activity Number: 248
Type: Contributed
Date/Time: Monday, August 4, 2014 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Computing
Abstract #312503
Title: A Unified Approach to Shrinkage Estimation in Linear Regression Models
Author(s): Enayetur Raheem*+ and Syed Ejaz Ahmed
Companies: University of Northern Colorado and Brock University
Keywords: Shrinkage estimation ; James-Stein estimator ; positive-rule shrinkage ; Restricted estimator
Abstract:

We propose a somewhat unified James-Stein-type shrinkage estimator for linear regression models. In this approach, an empirical restricted estimator is introduced. A tuning parameter, which is to be estimated from the data, is proposed that controls the amount of shrinkage. At the lower extreme when the tuning parameter is zero, we get OLS estimates. At the other extreme, when it is equal to the test statistic, we obtain restricted estimator.


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