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ADMISSIBILITY IN THE GENERAL GROWTH CURVE MODEL WITH RESPECT TO RESTRICTED PARAMETER SETS UNDER MATRIX LOSS FUNCTION
Authors:Zhang Shangli School of Science  Beijing Jiaotong University  Beijing  China Qin Hong Faculty of Mathematics  Statistics  Central China Normal University  Wuhan  China
Institution:[1]School of Science, Beijing Jiaotong University, Beijing 1000~, China [2]Faculty of Mathematics and Statistics, Central China Normal University, Wuhan ~300~9, China
Abstract:In this paper,we study the issue of admissibility in the growth curve model with respect to restricted parameter sets under matrix loss function.We obtain some necessary and sufficient conditions that the linear estimators of KBL are admissible in the class of homogeneous linear estimators and in the class of non-homogeneous linear estimators under the growth curve model with respect to restricted parameter sets,respectively.
Keywords:growth curve model  linear estimation  admissibility  incomplete ellipsoidal restriction
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