Acta mathematica scientia,Series B

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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

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

CLC Number: 

  • 62C05
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