On relations between BLUEs under two transformed linear models

DOI10.1016/j.jmva.2014.07.005zbMath1299.62055OpenAlexW1964327888MaRDI QIDQ406552

Baomin Dong, Yongge Tian, Wenxing Guo

Publication date: 8 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jmva.2014.07.005

zbMATH Keywords

inequalityrankinertiaBLUEequalitygeneral linear modeltransformed model

Mathematics Subject Classification ID

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

Related Items (15)

Some equalities and inequalities for covariance matrices of estimators under linear model ⋮ Estimation in singular linear models with stepwise inclusion of linear restrictions ⋮ On decompositions of BLUEs under a partitioned linear model with restrictions ⋮ On relations between BLUPs under two transformed linear random-effects models ⋮ Some remarks on fundamental formulas and facts in the statistical analysis of a constrained general linear model ⋮ Rank and inertia formulas for covariance matrices of BLUPs in general linear mixed models ⋮ Transformation approaches of linear random-effects models ⋮ Inertia and rank approach in transformed linear mixed models for comparison of BLUPs ⋮ Quadratic properties of least-squares solutions of linear matrix equations with statistical applications ⋮ Equalities for estimators of partial parameters under linear model with restrictions ⋮ ON EQUALITIES OF BLUES FOR A MULTIPLE RESTRICTED PARTITIONED LINEAR MODEL ⋮ Rank/inertia approaches to weighted least-squares solutions of linear matrix equations ⋮ On comparison of dispersion matrices of estimators under a constrained linear model ⋮ Matrix rank and inertia formulas in the analysis of general linear models ⋮ Predictions under a system of linear regression models with correlated errors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solving optimization problems on ranks and inertias of some constrained nonlinear matrix functions via an algebraic linearization method
• On the natural restrictions in the singular Gauss-Markov model
• Equalities and inequalities for inertias of Hermitian matrices with applications
• Linear transformations preserving best linear unbiased estimators in a general Gauss-Markoff model
• Characterizations of estimability in the general linear model
• Estimation with aggregated data
• Representations of best linear unbiased estimators in the Gauss-Markoff model with a singular dispersion matrix
• The maximal and minimal ranks of \(A - BXC\) with applications
• The maximal and minimal ranks of some expressions of generalized inverses of matrices
• On properties of BLUEs under general linear regression models
• The BLUE and MINQUE in Gauss-Markoff model with linear transformation of the observable variables
• On BLU-estimation with data of different periodicity
• Comparing the BLUEs Under Two Linear Models
• Some further results related to reduced singular linear models
• Revisiting the BLUE in a Linear Model via Proper Eigenvectors
• Some matrix results related to a partitioned singular linear model

This page was built for publication: On relations between BLUEs under two transformed linear models