ADMISSIBILITY IN THE GENERAL GROWTH CURVE MODEL WITH RESPECT TO RESTRICTED PARAMETER SETS UNDER MATRIX LOSS FUNCTION  

作　　者：张尚立 覃红 

机构地区：[1]School of Science,Beijing Jiaotong University [2]Faculty of Mathematics and Statistics,Central China Normal University

出　　处：《Acta Mathematica Scientia》2010年第1期27-38,共12页数学物理学报（B辑英文版）

基　　金：supported by the NNSF of China(60736047,10671080);NCET(06-672)

摘　　要：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 neces- sary 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.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 neces- sary 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.

关 键 词：growth curve model linear estimation ADMISSIBILITY incomplete ellipsoidalrestriction 

分 类 号：O212[理学—概率论与数理统计] O212.4[理学—数学]