数学物理学报(英文版)

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

张尚立; 桂文豪   

  1. 北京交通大学理学院, 北京 100044
  • 收稿日期:2005-12-13 修回日期:2006-09-12 出版日期:2008-01-20 发布日期:2008-01-20
  • 通讯作者: 张尚立
  • 基金资助:

    Supported by Pre-Study Program of NBRP (2003CCA02400), NSFC (10671007), and NSFC (60772036), China

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

Zhang Shangli; Gui Wenhao   

  1. School of Science, Beijing Jiaotong University, Beijing 100044, China
  • Received:2005-12-13 Revised:2006-09-12 Online:2008-01-20 Published:2008-01-20
  • Contact: Zhang Shangli

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.

关键词: Growth curve model, admissibility, linear estimator

Abstract:

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.

Key words: Growth curve model, admissibility, linear estimator

中图分类号: 

  • 62C05