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General linear estimators under the prediction error sum of squares criterion in a linear regression model

Xu-Qing Liu and Bo Li

Journal of Applied Statistics, 2012, vol. 39, issue 6, 1353-1361

Abstract: In this paper, the notion of the general linear estimator and its modified version are introduced using the singular value decomposition theorem in the linear regression model y = X β + e to improve some classical linear estimators. The optimal selections of the biasing parameters involved are theoretically given under the prediction error sum of squares criterion. A numerical example and a simulation study are finally conducted to illustrate the superiority of the proposed estimators.

Date: 2012
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DOI: 10.1080/02664763.2011.646963

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