On additive and block decompositions of WLSEs under a multiple partitioned regression model

DOI10.1080/02331880903189109zbMath1283.62146OpenAlexW2017990365MaRDI QIDQ5402475

Yongge Tian, Zhe Tian

Publication date: 14 March 2014

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331880903189109

zbMATH Keywords

additive decompositionbest linear unbiased estimatorprojectorblock decompositionmean vectormatrix rank methodmultiple partitioned linear modelweighted least-squares estimatorsmall models\(V\)-orthogonality

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05) Theory of matrix inversion and generalized inverses (15A09)

Related Items

On relations between weighted least-squares estimators of parametric functions under a general partitioned linear model and its small models ⋮ On decompositions of estimators under a general linear model with partial parameter restrictions ⋮ The additive and block decompositions about the WLSEs of parametric functions for a multiple partitioned linear regression model ⋮ ON EQUALITIES OF BLUES FOR A MULTIPLE RESTRICTED PARTITIONED LINEAR MODEL ⋮ On an additive decomposition of the BLUE in a multiple-partitioned linear model

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