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A Class of Linear Biased Estimators of Regression ParameterMatrix in the Growth Curve Model
引用本文:归庆明.A Class of Linear Biased Estimators of Regression ParameterMatrix in the Growth Curve Model[J].数学季刊,1995(2).
作者姓名:归庆明
作者单位:Zhengzhou Institute of Surveying and Mapping,Zhengzhou 450052
摘    要:AClassofLinearBiasedEstimatorsofRegressionParameterMatrixintheGrowthCurveModel¥GuiQingming(ZhengzhouInstituteofSurveyingandMa...


A Class of Linear Biased Estimators of Regression Parameter Matrix in the Growth Curve Model
Gui Qingming.A Class of Linear Biased Estimators of Regression Parameter Matrix in the Growth Curve Model[J].Chinese Quarterly Journal of Mathematics,1995(2).
Authors:Gui Qingming
Abstract:In response to some perceived deficiency with the BLUE of the regression parameter matrix in the growth curve model, this paper proposes a class of linear biased estimators, which is called a class of universal ridge ones (URE), based on the recent development theory of biased estimation on the dissical regression model. By appropriate choices of the included biased parameters,many interesting and practical linear biased estimators may be obtained. Some important properties are also discussed. With the UR estimators, the estimation methods used in the growth curve model will be greatly enriched.
Keywords:growth curve model  regression parameter matrix  BLUE  universal ridge estimator  mean square error  generalized mean square error  admissibility  Bayes linear estimator
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