More on BLU estimation in regression models with possibly singular covariances

DOI10.1016/0024-3795(85)90197-1zbMath0605.62067OpenAlexW2003433935MaRDI QIDQ1083808

Hans Joachim Werner

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90197-1

zbMATH Keywords

generalized inversebest linear unbiased estimatorBLUEsestimable linear functionssingular covariances

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Theory of matrix inversion and generalized inverses (15A09)

Related Items (4)

Generalized inversion and weak bi-complementarity^∗ ⋮ On inequality constrained generalized least squares selections in the general possibly singular Gauss-Markov model: A projector theoretical approach ⋮ A BLUE decomposition in the general linear regression model ⋮ On inequality constrained generalized least-squares estimation

Cites Work

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• On the matrix monotonicity of generalized inversion
• Charakterisierungen von monotonen Matrizen
• Representations of best linear unbiased estimators in the Gauss-Markoff model with a singular dispersion matrix
• More on generalizations of matrix monotonicity
• Generalized inverse of linear transformations: A geometric approach
• On extensions of Cramer's rule for solutions of restricted linear systems¹
• Equality of two blues and ridge-type estimates
• On Generalized Inverses of Matrices
• The Gauss–Markov Theorem for Regression Models with Possibly Singular Covariances

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