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Abstract

In this paper we consider the risk of an estimator of the error variance after a pre-test for homoscedasticity of the variances in the two-sample heteroscedastic linear regression model. This particular pre-test problem has been well investigated but always under the restrictive assumption of a squared error loss function. We consider an asymmetric loss function - the LINEX loss function - and derive the exact risks of various estimators of the error variance.

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