Properties of BLUEs in full versus small linear models

DOI10.1080/03610926.2022.2052899OpenAlexW4221039402MaRDI QIDQ6078232

Augustyn Markiewicz, Simo Puntanen, Stephen J. Haslett

Publication date: 24 October 2023

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

Full work available at URL: https://doi.org/10.1080/03610926.2022.2052899

zbMATH Keywords

best linear unbiased estimatorBLUEpartitioned linear modelLöwner orderingadding regressors

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Analysis of variance and covariance (ANOVA) (62J10)

Cites Work

• On connections among OLSEs and BLUEs of whole and partial parameters under a general linear model
• Effect of adding regressors on the equality of the BLUEs under two linear models
• Representations of best linear unbiased estimators in the Gauss-Markoff model with a singular dispersion matrix
• Estimation under a general partitioned linear model
• Updating linear models with dependent errors to include additional data and/or parameters
• A BLUE decomposition in the general linear regression model
• On properties of BLUEs under general linear regression models
• Some remarks on general linear model with new regressors
• Matrix Tricks for Linear Statistical Models
• On the BLUEs in Two Linear Models via C. R. Rao's Pandora's Box
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