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General admissibility for linear estimators in a general multivariate linear model under balanced loss function
Authors:Ming Xiang Cao  Fan Chao Kong
Institution:1. Department of Mathematics, Hefei Normal University, Hefei, 230601, P. R. China
2. School of Mathematics, Anhui University, Hefei, 230039, P. R. China
Abstract:A generalization of Zellner’s balanced loss function is proposed. General admissibility in a general multivariate linear model is investigated under the generalized balanced loss function. And the sufficient and necessary conditions for linear estimators to be generally admissible in classes of homogeneous and nonhomogeneous linear estimators are given, respectively.
Keywords:Balanced loss function  linear estimators  general optimality  general admissibility
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