A new approach to the concept of a strong unified-least-squares matrix

DOI10.1016/j.laa.2004.02.009zbMath1060.15009OpenAlexW1983968976MaRDI QIDQ1883301

Jerzy K. Baksalary

Publication date: 4 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.02.009

zbMATH Keywords

generalized inverserangeInvariancegeneral Gauss-Markov modelminimum dispersion linear unbiased estimatorunified-least-squares theory

Mathematics Subject Classification ID

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

Related Items (2)

Applications of completions of operator matrices to some properties of operator products on Hilbert spaces ⋮ Invariance properties of a triple matrix product involving generalized inverses

Cites Work

• Rank invariance criterion and its application to the unified theory of least squares
• Strong unified-least-squares matrices for a general linear model
• Representations of best linear unbiased estimators in the Gauss-Markoff model with a singular dispersion matrix
• Two matrix-based proofs that the linear estimator \(G y\) is the best linear unbiased estimator
• An elementary development of the equation characterizing best linear unbiased estimators
• Range invariance of certain matrix products
• Categorical information and the singular linear model
• Comment on range invariance of matrix products
• On Best Linear Estimation and General Gauss-Markov Theorem in Linear Models with Arbitrary Nonnegative Covariance Structure
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