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On Admissibility of Linear Estimators with Respect to the Mean Square Error Matrix Criterion Under the General Mixed Linear Model

 

作者: Jürgen Groß,   Augustyn Markiewicz,  

 

期刊: Statistics  （Taylor Available online 1999）
卷期: Volume 33, issue 1  

页码: 57-71

 

ISSN:0233-1888

 

年代: 1999

 

DOI:10.1080/02331889908802681

 

出版商: Gordon & Breach Science Publishers

 

关键词: 62C15;General mixed linear model;mean square error matrix criterion;linear estimation;admissibility

 

数据来源: Taylor

 

摘要:

Under the general mixed linear model, linear admissible estimators for linear functions of fixed and random effects are considered, when the mean square error matrix risk is adopted as the criterion for evaluating estimators. It is demonstrated that advantage can be taken from well known results about linear admissible estimators for fixed effects only. The derived characterizations also provide the generalized and corrected version of an earlier attempt from Lin and Young [9].

 

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