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Admissible Linear Predictors in the Superpopulation Model with Respect to Inequality Constraints
Authors:Liwen Xu
Institution:1. Department of Statistics, College of Sciences , North China University of Technology , Beijing, China xulw2000@yahoo.com.cn
Abstract:Admissibility of linear predictors of the linear quantity Qy is investigated under a general linear regression superpopulation model with some inequality constraints. The relation between admissible homogeneous and inhomogeneous linear predictors is characterized. Further, necessary and sufficient conditions for a linear predictor to be admissible in two cases of inequality constraints in the classes of homogeneous and inhomogeneous linear predictors are given, respectively.
Keywords:Admissibility  Finite population  Inequality constraint  Superpopu-lation model
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