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Admissibility of Linear Predictors in the Superpopulation Model with Respect to Inequality Constraints under Matrix Loss Function
Authors:Daojiang He  Xingzhong Xu
Institution:1. Department of Mathematics , Beijing Institute of Technology , Beijing , China;2. Department of Mathematics , Anhui Normal University , Wuhu , China djheahnu@163.com;4. Department of Mathematics , Beijing Institute of Technology , Beijing , China
Abstract:Admissibility of linear predictors for the linear quantity Qy is investigated in a superpopulation model with respect to some inequality constraints. Necessary and sufficient conditions for a linear predictor to be admissible in the class of homogeneous linear predictors and the class of inhomogeneous linear predictors are obtained, respectively, under matrix loss function.
Keywords:Admissibility  Inequality constraint  Linear predictors  Matrix loss function  Superpopulation model
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