A complete class for linear estimation in a general linear model

DOI10.1007/BF02491490zbMath0691.62010OpenAlexW2031171494MaRDI QIDQ582736

Jianyong Qiao, Sumit K. Garg

Publication date: 1987

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02491490

zbMATH Keywords

linear estimatorgeneral linear modellocally best estimatormean square error risk

Mathematics Subject Classification ID

Admissibility in statistical decision theory (62C15) Complete class results in statistical decision theory (62C07)

Related Items (9)

On limits of uniquely best linear estimators ⋮ A sufficient condition for admissibility in linear estimation ⋮ Admissibility of linear estimators with respect to inequality constraints under some loss functions ⋮ An explicit characterization of admissible linear estimators of fixed and random effects in balanced random models ⋮ Admissible linear estimators in mixed linear models ⋮ Quadratic unbiased estimation without invariance and its application in the unbalanced one-way random model ⋮ Towards a notion of testability ⋮ A characterization of admissible linear estimators of fixed and random effects in linear models ⋮ Unnamed Item

Cites Work

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• Lower bound of risk in linear unbiased estimation and its application
• Admissibility in linear estimation
• Estimation of parameters in a linear model
• Invariant quadratic unbiased estimation for two variance components
• A canonical form for the general linear model
• On Admissible Estimators in a Linear Model
• Towards a Theory of Generalized Bayes Tests
• Convex Analysis

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