Some further results related to reduced singular linear models

DOI10.1080/03610929708831921zbMath0925.62260OpenAlexW2058331714MaRDI QIDQ4337322

Simo Puntanen

Publication date: 18 November 1999

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610929708831921

zbMATH Keywords

linear modelgeneralized inversebest linear unbiased estimatorprojectorordinary least squares estimatorpartitioned linear model

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05)

Related Items (7)

A study of the equivalence of the BLUEs between a partitioned singular linear model and its reduced singular linear models ⋮ Equality of the BLUPs under the mixed linear model when random components and errors are correlated ⋮ On relations between BLUEs under two transformed linear models ⋮ On the equivalence of estimations under a general linear model and its transformed models ⋮ A Useful Matrix Decomposition and Its Statistical Applications in Linear Regression ⋮ Nonnegative-definite covariance structures for which the blu, wls, and ls estimators are equal ⋮ Estimation under a general partitioned linear model

Cites Work

• Unnamed Item
• A property of partitioned generalized regression
• Optimal Experimental Design for Error Components Models
• Some matrix results related to a partitioned singular linear model
• On Best Linear Estimation and General Gauss-Markov Theorem in Linear Models with Arbitrary Nonnegative Covariance Structure
• Linear Statistical Inference and its Applications

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