Φ admissibility of linear estimators of common mean parameter in general multivariate linear models under a balanced loss function

DOI10.1080/03610926.2019.1710757OpenAlexW2999102318MaRDI QIDQ5078888

Junyong Park, Ming Xiang Cao, Guang Jun Shen

Publication date: 25 May 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2019.1710757

zbMATH Keywords

linear estimatorsbalanced loss functionmultivariate linear models\(\Phi\) admissibilitymatrix common mean parameter

Mathematics Subject Classification ID

Generalized linear models (logistic models) (62J12) Statistics (62-XX) Admissibility in statistical decision theory (62C15)

Cites Work

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• Optimal designs in multivariate linear models
• General equivalence theory for optimum designs (approximate theory)
• General optimality and general admissibility of linear estimates of the mean matrix
• Estimation of a normal mean relative to balanced loss functions
• Admissibility of linear estimators of the common mean parameter in general linear models under a balanced loss function
• \(\Phi\) admissibility for linear estimators on regression coefficients in a general multivariate linear model under balanced loss function
• Simultaneous estimation of the multivariate normal mean under balanced loss function
• Weighted balanced loss function and estimation of the mean time to failure

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