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General Admissibility for Linear Estimators in a General Multivariate Linear Model under Balanced Loss Function

General Admissibility for Linear Estimators in a General Multivariate Linear Model under Balanced Loss Function
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摘要 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. 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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第9期1823-1832,共10页 数学学报(英文版)
基金 supported by the Excellent Youth Talents Foundation of University of Anhui (Grant Nos.2011SQRL127 and 2012SQRL028ZD)
关键词 Balanced loss function linear estimators general optimality general admissibility Balanced loss function linear estimators general optimality general admissibility
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