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Mean Squared Error Matrix Comparisons of Some Restricted Almost Unbiased Estimators
Authors:Hu Yang  Jianwen Xu
Affiliation:College of Mathematics and Physics , Chongqing University , Chongqing , China
Abstract:In this article, we introduce two almost unbiased estimators for the vector of unknown parameters in a linear regression model when additional linear restrictions on the parameter vector are assumed to hold. Superiority of the two estimators under the mean squared error matrix (MSEM) is discussed. Furthermore, a numerical example and simulation study are given to illustrate some of the theoretical results.
Keywords:Mean squared error matrix  Restricted almost unbiased Liu estimator  Restricted almost unbiased ridge estimator
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