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Admissibility of linear estimators with respect to inequality constraints under matrix loss function
Authors:Dao-Jiang He  Da-Wei Guo
Institution:a Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China
b Department of Mathematics, Anhui Normal University, Wuhu 241000, PR China
Abstract:In this paper we investigate the admissibility of linear estimators in the multivariate linear model with respect to inequality constraints under matrix loss function. The necessary and sufficient conditions for a linear estimator to be admissible in the class of homogeneous linear estimators and the class of inhomogeneous linear estimators are obtained, respectively.
Keywords:62C05  62F10
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