A BLUE decomposition in the general linear regression model

DOI10.1016/0024-3795(95)00542-0zbMath0844.62061OpenAlexW2122835427MaRDI QIDQ1914241

Cemil Yapar, Hans Joachim Werner

Publication date: 21 July 1996

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00542-0

zbMATH Keywords

projectionsdecompositionslinear constraintsbest linear unbiased estimatordispersion matrixsingular modelsgeneral linear regression modelblock partitioned regressor matrix

Mathematics Subject Classification ID

Linear regression; mixed models (62J05)

Related Items (13)

On decompositions of BLUEs under a partitioned linear model with restrictions ⋮ A study of the equivalence of the BLUEs between a partitioned singular linear model and its reduced singular linear models ⋮ On relations between weighted least-squares estimators of parametric functions under a general partitioned linear model and its small models ⋮ On additive decompositions of estimators under a multivariate general linear model and its two submodels ⋮ Characterizing relationships between BLUPs under linear mixed model and some associated reduced models ⋮ Properties of BLUEs in full versus small linear models ⋮ The additive and block decompositions about the WLSEs of parametric functions for a multiple partitioned linear regression model ⋮ ON EQUALITIES OF BLUES FOR A MULTIPLE RESTRICTED PARTITIONED LINEAR MODEL ⋮ On the BLUEs in Two Linear Models via C. R. Rao's Pandora's Box ⋮ On Sum Decompositions of Weighted Least-Squares Estimators for the Partitioned Linear Model ⋮ On an additive decomposition of the BLUE in a multiple-partitioned linear model ⋮ Effect of adding regressors on the equality of the BLUEs under two linear models ⋮ The Equalities of BLUPs for Linear Combinations Under Two General Linear Mixed Models

Cites Work

• More on BLU estimation in regression models with possibly singular covariances
• Representations of best linear unbiased estimators in the Gauss-Markoff model with a singular dispersion matrix
• On inequality constrained generalized least squares selections in the general possibly singular Gauss-Markov model: A projector theoretical approach
• Unnamed Item
• Unnamed Item

This page was built for publication: A BLUE decomposition in the general linear regression model