Equalities between the BLUEs and BLUPs under the partitioned linear fixed model and the corresponding mixed model

DOI10.12697/ACUTM.2021.25.16zbMath1482.62074OpenAlexW3214813080MaRDI QIDQ5061869

Simo Puntanen, Jarkko Isotalo, Stephen J. Haslett

Publication date: 14 March 2022

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12697/acutm.2021.25.16

zbMATH Keywords

BLUPbest linear unbiased estimatorBLUEpartitioned linear modelbest linear unbiased predictorequality of BLUEs

Mathematics Subject Classification ID

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

Cites Work

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• A matrix handling of predictions of new observations under a general random-effects model
• Testing random effects in linear mixed models: another look at the F‐test (with discussion)
• Linear Prediction Sufficiency for New Observations in the General Gauss–Markov Model

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