A study of the equivalence of the BLUEs between a partitioned singular linear model and its reduced singular linear models

DOI10.1007/s10114-004-0252-3zbMath1049.62083OpenAlexW2036667849MaRDI QIDQ1882508

Chang-Yu Lu, Bao-Xue Zhang, Bai-Sen Liu

Publication date: 1 October 2004

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0252-3

zbMATH Keywords

projectorsbest linear unbiased estimatorlinear transformation modelssingular partitioned linear model

Mathematics Subject Classification ID

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

Related Items (max. 100)

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 ⋮ Characterizing relationships between BLUPs under linear mixed model and some associated reduced models ⋮ On two-stage estimate based on independent estimate of covariance matrix ⋮ ON EQUALITIES OF BLUES FOR A MULTIPLE RESTRICTED PARTITIONED LINEAR MODEL ⋮ On the BLUEs in Two Linear Models via C. R. Rao's Pandora's Box ⋮ On an additive decomposition of the BLUE in a multiple-partitioned linear model ⋮ On the equivalence of estimations under a general linear model and its transformed models ⋮ On two correlated linear models with common and different parameters ⋮ Statistical inference of a partitioned linear random-effects model

Cites Work

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• On inequality constrained generalized least squares selections in the general possibly singular Gauss-Markov model: A projector theoretical approach
• A BLUE decomposition in the general linear regression model
• A property of partitioned generalized regression
• Optimal Experimental Design for Error Components Models
• Some further results related to reduced singular linear models
• Some matrix results related to a partitioned singular linear model
• Linear Statistical Inference and its Applications

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