A Characterization of Admissible Linear Estimator of Regression Coefficients in Variance Component Models

Shi Qing Wang; Ming Qi Li

doi:10.4028/www.scientific.net/AMM.58-60.1162

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 58-60A Characterization of Admissible Linear Estimator...

A Characterization of Admissible Linear Estimator of Regression Coefficients in Variance Component Models

Abstract:

In the paper, for the variance component models we take the ordinary quadratic risk function, and consider the admissibility of the linear estimators of linear combinations of regression coefficients in the class of linear homogeneous and inhomogeneous estimators. We get the necessary and sufficient conditions for the linear estimators of linear combinations of regression coefficients to be admissible.

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Periodical:

Applied Mechanics and Materials (Volumes 58-60)

Pages:

1162-1167

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.58-60.1162

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Online since:

June 2011

Authors:

Shi Qing Wang, Ming Qi Li

Keywords:

Admissibility, Convex Set, Linear Estimator, Variance Component Model

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