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A Comparison of the Stein-Rule and Positive-Part Stein-Rule Estimators in a Misspecified Linear Regression Model

Published online by Cambridge University Press:  11 February 2009

Kazuhiro Ohtani
Kazuhiro Ohtani
Affiliation:
Kobe University
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Abstract

In this paper, we examine the performance of the predictive risk of the Steinrule (SR) and positive-part Stein-rule (PSR) estimators when relevant regressors are omitted in the specified model. The exact formula of the predictive risk of the PSR estimator is derived, and the sufficient condition for the PSR estimator to dominate the SR estimator under a specification error is given. It is shown by numerical computation that the PSR estimator seems to be the best choice among the OLS, SR, and PSR estimators even when there are omitted variables.

Type
Miscellanea
Information
Econometric Theory , Volume 9 , Issue 4 , August 1993 , pp. 668 - 679
Copyright
Copyright © Cambridge University Press 1993

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