Admissibility for linear estimator of parameter on growth curve model with respect to linear constraint

By using the vector-method of matrix, we study Growth Curve Model with respect to linear constraint. Under matrix loss function and vector loss function, we obtain necessary and sufficient conditions for admissibility of linear estimators of parameters in the inhomogeneous linear class.

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Bibliographic Details
Published inActa Mathematicae Applicatae Sinica Vol. 25; no. 1; pp. 171 - 176
Main Authors Cao, Ming-xiang, Kong, Fan-chao
Format Journal Article
LanguageEnglish
Published Heildeberg Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 2009
Subjects
Applications of Mathematics
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
admissibility
34B15
linear estimators
Growth curve model
34B10
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Summary:By using the vector-method of matrix, we study Growth Curve Model with respect to linear constraint. Under matrix loss function and vector loss function, we obtain necessary and sufficient conditions for admissibility of linear estimators of parameters in the inhomogeneous linear class.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-007-7076-8