On an additive decomposition of the BLUE in a multiple-partitioned linear model

DOI10.1016/j.jmva.2008.08.006zbMath1155.62045OpenAlexW2077416694MaRDI QIDQ1002357

Yongge Tian

Publication date: 25 February 2009

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2008.08.006

zbMATH Keywords

best linear unbiased estimatorpartitioned linear modelsmall modelmean vectoradditive decomposition of estimationrank equalities

Mathematics Subject Classification ID

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

Related Items (18)

Some overall properties of seemingly unrelated regression models ⋮ On decompositions of BLUEs under a partitioned linear model with restrictions ⋮ On relations between weighted least-squares estimators of parametric functions under a general partitioned linear model and its small models ⋮ On equalities for BLUEs under misspecified Gauss-Markov models ⋮ Estimations of parametric functions under a system of linear regression equations with correlated errors ⋮ On additive decompositions of solutions of the matrix equation \(AXB=C\) ⋮ On additive decompositions of estimators under a multivariate general linear model and its two submodels ⋮ Equality of the BLUPs under the mixed linear model when random components and errors are correlated ⋮ On decompositions of estimators under a general linear model with partial parameter restrictions ⋮ Characterizing relationships between BLUPs under linear mixed model and some associated reduced models ⋮ Equalities for estimators of partial parameters under linear model with restrictions ⋮ Some equalities for estimations of partial coefficients under a general linear regression model ⋮ 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 additive and block decompositions of WLSEs under a multiple partitioned regression model ⋮ On the equivalence of estimations under a general linear model and its transformed models ⋮ Some remarks on general linear model with new regressors ⋮ The Equalities of BLUPs for Linear Combinations Under Two General Linear Mixed Models

Cites Work

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• On a partitioned linear model and some associated reduced models
• Representations of best linear unbiased estimators in the Gauss-Markoff model with a singular dispersion matrix
• Estimation under a general partitioned linear model
• A study of the equivalence of the BLUEs between a partitioned singular linear model and its reduced singular linear models
• A BLUE decomposition in the general linear regression model
• A property of partitioned generalized regression
• On additive and block decompositions of WLSEs under a multiple partitioned regression model
• On Sum Decompositions of Weighted Least-Squares Estimators for the Partitioned Linear Model

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