Characterization of admissible linear estimators in the growth curve model with respect to inequality constraints

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成果类型：

期刊论文

作者：

Zhang, Shangli*;Fang, Zhide;Qin, Hong;Han, Litao

通讯作者：

Zhang, Shangli

作者机构：

[Zhang, Shangli] Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China.

[Zhang, Shangli] Beihang Univ, State Key Lab Virtual Real Technol & Syst, Beijing 100191, Peoples R China.

[Fang, Zhide] LSU Hlth Sci Ctr, Sch Publ Hlth, Biostat Sect, New Orleans, LA 70112 USA.

[Qin, Hong] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.

[Han, Litao] Renming Univ, Sch Informat, Beijing 100872, Peoples R China.

通讯机构：

[Zhang, Shangli] B

Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China.

语种：

英文

关键词：

Admissible linear estimator;Growth curve model;Inequality constraint;Matrix loss;Quadratic loss

期刊：

Journal of the Korean Statistical Society

ISSN：

1226-3192

年：

2011

卷：

期：

页码：

173-179

DOI：

10.1016/j.jkss.2010.09.002

基金类别：

State Key Laboratory of Virtual Reality Technology and Systems, China [BUAA-VR-10KF-03]; National Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61070236, 60933006, 90818003]; Mega-projects of Science Research for the 11th five-year plan of ChinaNational Key Technology R&D Program [2008ZX10001-004]

机构署名：

本校为其他机构

院系归属：

数学与统计学学院

摘要：

In terms of the theory of inequality and the vectorization transformation of a matrix, we study the admissibility problem of linear estimators in growth curve models with inequality constraints. Under the quadratic loss and the matrix loss, we obtain the necessary and sufficient conditions for a linear estimator of estimable/inestimable linear functions being admissible in the...

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Characterization of admissible linear estimators in the growth curve model with respect to inequality constraints

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