ADMISSIBILITY OF LINEAR ESTIMATORS IN A GROWTH CURVE MODEL SUBJECT TO AN INCOMPLETE ELLIPSOIDAL RESTRICTION  

作　　者：张尚立 桂文豪 

机构地区：[1]School of Science,Beijing Jiaotong University [2]Department of Statistics,Florida State University

出　　处：《Acta Mathematica Scientia》2008年第1期194-200,共7页数学物理学报（B辑英文版）

基　　金：Supported by Pre-Study Program of NBRP (2003CCA02400);NSFC (10671007);NSFC (60772036),China

摘　　要：This article considers the admissibility of the linear estimators for the regression coefficients in the growth curve model subject to an incomplete ellipsoidal restriction. The necessary and sufficient conditions for linear estimators to be admissible in classes of the homogeneous and non-homogeneous linear estimators, respectively, are obtained under the quadratic loss function. They are generalizations of some existing results in literature.This article considers the admissibility of the linear estimators for the regression coefficients in the growth curve model subject to an incomplete ellipsoidal restriction. The necessary and sufficient conditions for linear estimators to be admissible in classes of the homogeneous and non-homogeneous linear estimators, respectively, are obtained under the quadratic loss function. They are generalizations of some existing results in literature.

关 键 词：Growth curve model ADMISSIBILITY linear estimator 

分 类 号：O212[理学—概率论与数理统计]