数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (1): 27-38.doi: 10.1016/S0252-9602(10)60019-7

• 论文 • 上一篇    下一篇

ADMISSIBILITY IN THE GENERAL GROWTH CURVE MODEL WITH RESPECT TO RESTRICTED |PARAMETER SETS UNDER MATRIX LOSS FUNCTION

 张尚立, 覃红   

  1. School of Science, Beijing Jiaotong University, Beijing 100044, China
  • 收稿日期:2008-11-10 修回日期:2009-06-11 出版日期:2010-01-20 发布日期:2010-01-20
  • 基金资助:

    This research was partially supported by the NNSF of China (60736047, 10671080) and NCET (06-672).

ADMISSIBILITY IN THE GENERAL GROWTH CURVE MODEL WITH RESPECT TO RESTRICTED |PARAMETER SETS UNDER MATRIX LOSS FUNCTION

 ZHANG Shang-Li, QIN Hong   

  1. School of Science, Beijing Jiaotong University, Beijing 100044, China
  • Received:2008-11-10 Revised:2009-06-11 Online:2010-01-20 Published:2010-01-20
  • Supported by:

    This research was partially supported by the NNSF of China (60736047, 10671080) and NCET (06-672).

摘要:

In this paper, we study the issue of admissibility in the growth curve model with respect to restricted parameter sets under matrix loss function. We obtain some necessary and sufficient conditions that the linear estimators of $KBL$ are admissible in the class of
homogeneous linear estimators and in the class of  non-homogeneous linear estimators under the growth curve model with respect to
restricted parameter sets, respectively.

关键词: growth curve model, linear estimation, admissibility, incomplete ellipsoidal restriction

Abstract:

In this paper, we study the issue of admissibility in the growth curve model with respect to restricted parameter sets under matrix loss function. We obtain some necessary and sufficient conditions that the linear estimators of $KBL$ are admissible in the class of
homogeneous linear estimators and in the class of  non-homogeneous linear estimators under the growth curve model with respect to
restricted parameter sets, respectively.

Key words: growth curve model, linear estimation, admissibility, incomplete ellipsoidal restriction

中图分类号: 

  • 62C15