ADMISSIBILITY FOR LINEAR ESTIMATES ON REGRESSION COEFFICIENTS IN A GENERAL MULTIVARIATE LINEAR MODEL

数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (3): 329-337.

ADMISSIBILITY FOR LINEAR ESTIMATES ON REGRESSION COEFFICIENTS IN A GENERAL MULTIVARIATE LINEAR MODEL

谢民育

Department of Mathematics, Central China Normal University, Wuhan 430070, China

收稿日期:1992-02-20 出版日期:1994-09-25 发布日期:1994-09-25
基金资助:
Project Supported by the National Natural Science Foundation of China.

ADMISSIBILITY FOR LINEAR ESTIMATES ON REGRESSION COEFFICIENTS IN A GENERAL MULTIVARIATE LINEAR MODEL

Xie Minyu

Department of Mathematics, Central China Normal University, Wuhan 430070, China

Received:1992-02-20 Online:1994-09-25 Published:1994-09-25
Supported by:
Project Supported by the National Natural Science Foundation of China.

摘要/Abstract

摘要： In this paper,we discuss admissibility for linear estimates on regression coefficients in a general multivahate linear model.Eight kinds of definition for admissibility are given.We have proved that they can be divided into three identical subclassed in the class of linear estimates,and got necessary and sufficient conditions for admissible estimates on each subclass.Particularly.the eight kinds of admissibility are identify under a special case of the model.

谢民育. ADMISSIBILITY FOR LINEAR ESTIMATES ON REGRESSION COEFFICIENTS IN A GENERAL MULTIVARIATE LINEAR MODEL[J]. 数学物理学报(英文版), 1994, 14(3): 329-337.

Xie Minyu. ADMISSIBILITY FOR LINEAR ESTIMATES ON REGRESSION COEFFICIENTS IN A GENERAL MULTIVARIATE LINEAR MODEL[J]. Acta mathematica scientia,Series B, 1994, 14(3): 329-337.

ADMISSIBILITY FOR LINEAR ESTIMATES ON REGRESSION COEFFICIENTS IN A GENERAL MULTIVARIATE LINEAR MODEL

ADMISSIBILITY FOR LINEAR ESTIMATES ON REGRESSION COEFFICIENTS IN A GENERAL MULTIVARIATE LINEAR MODEL

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