Characterizations of admissible linear estimators in restricted linear models

DOI10.1016/0378-3758(86)90149-7zbMath0588.62014OpenAlexW2078860481MaRDI QIDQ1073477

Augustyn Markiewicz, Jerzy K. Baksalary

Publication date: 1986

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(86)90149-7

zbMATH Keywords

linear modellinear estimatorslinear restrictionsunrestricted model

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05) Admissibility in statistical decision theory (62C15)

Related Items (8)

Characterizations of admissible linear estimators in the linear model ⋮ Characterizing Relationships Between Estimations Under a General Linear Model with Explicit and Implicit Restrictions by Rank of Matrix ⋮ All admissible linear estimators of the regression parameter vector in the case of an arbitrary parameter subset ⋮ Admissible linear estimators in the general Gauss-Markov model ⋮ Characterization of general ridge estimators ⋮ Admissible linear estimators in the general Gauss-Markov model under generalized extended balanced loss function ⋮ Mean square error matrix improvements and admissibility of linear estimators ⋮ Admissible linear estimators of an arbitrary vector of parametric functions in the general Gauss-Markov model

Cites Work

• Admissible linear estimators in restricted linear models
• Admissibility in linear estimation
• Estimation of parameters in a linear model
• Admissible linear estimation in singular linear models
• Admissibility of linear estimators with respect to restricted parameter sets
• All Admissible Linear Estimates of the Mean Vector

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