On relations between BLUPs under two transformed linear random-effects models
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Publication:5042111
DOI10.1080/03610918.2020.1757709OpenAlexW3019080720MaRDI QIDQ5042111
Publication date: 18 October 2022
Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03610918.2020.1757709
Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05) Analysis of variance and covariance (ANOVA) (62J10) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items (4)
Some remarks on comparison of predictors in seemingly unrelated linear mixed models. ⋮ Characterizing relationships between BLUPs under linear mixed model and some associated reduced models ⋮ Inertia and rank approach in transformed linear mixed models for comparison of BLUPs ⋮ Statistical inference of a partitioned linear random-effects model
Cites Work
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- Equality of the BLUPs under the mixed linear model when random components and errors are correlated
- On relations between BLUEs under two transformed linear models
- Equality of BLUES or BLUPS under two linear models using stochastic restrictions
- On comparison of dispersion matrices of estimators under a constrained linear model
- Matrix rank and inertia formulas in the analysis of general linear models
- On the equality of the BLUPs under two linear mixed models
- Solving optimization problems on ranks and inertias of some constrained nonlinear matrix functions via an algebraic linearization method
- Estimation in singular partitioned, reduced or transformed linear models
- Linear and generalized linear mixed models and their applications.
- A new derivation of BLUPs under random-effects model
- Further remarks on the connection between fixed linear model and mixed linear model
- Best linear unbiased prediction for linear combinations in general mixed linear models
- On the natural restrictions in the singular Gauss-Markov model
- Equalities and inequalities for inertias of Hermitian matrices with applications
- Some equalities for estimations of variance components in a general linear model and its restricted and transformed models
- On equality of ordinary least squares estimator, best linear unbiased estimator and best linear unbiased predictor in the general linear model
- On the equivalence of estimations under a general linear model and its transformed models
- Linear sufficiency and admissibility in restricted linear models
- Linear transformations preserving best linear unbiased estimators in a general Gauss-Markoff model
- Extension of the Gauss-Markov theorem to include the estimation of random effects
- Characterizations of estimability in the general linear model
- A note on the concepts of linear and quadratic sufficiency
- A derivation of BLUP -- best linear unbiased predictor
- The matrix handling of BLUE and BLUP in the mixed linear model
- 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
- That BLUP is a good thing: The estimation of random effects. With comments and a rejoinder by the author
- Transformation approaches of linear random-effects models
- Two competing linear random-effects models and their connections
- Linear sufficiency with respect to a given vector of parametric functions
- Sufficiency and completeness in the linear model
- The maximal and minimal ranks of some expressions of generalized inverses of matrices
- On properties of BLUEs under general linear regression models
- Some remarks on general linear model with new regressors
- Some equalities and inequalities for covariance matrices of estimators under linear model
- The BLUE and MINQUE in Gauss-Markoff model with linear transformation of the observable variables
- The link between the mixed and fixed linear models revisited
- On equalities for BLUEs under misspecified Gauss-Markov models
- The Equalities of BLUPs for Linear Combinations Under Two General Linear Mixed Models
- Comparing the BLUEs Under Two Linear Models
- An algebraic study of BLUPs under two linear random-effects models with correlated covariance matrices
- Matrix Tricks for Linear Statistical Models
- A matrix handling of predictions of new observations under a general random-effects model
- Estimation and prediction for linear models in general spaces
- Simultaneous Estimation of Parameters in Different Linear Models and Applications to Biometric Problems
- Best Linear Unbiased Estimation and Prediction under a Selection Model
- Estimation From Transformed Data Under the Linear Regression Model
- Predictions and estimations under a group of linear models with random coefficients
- Mixed Models
- Improved Predictions in Linear Regression Models with Stochastic Linear Constraints
- A transformation approach in linear mixed-effects models with informative missing responses
- Best Linear Unbiased Prediction in the Generalized Linear Regression Model
- Applied Mixed Models in Medicine
- Linear Prediction Sufficiency for New Observations in the General Gauss–Markov Model
- Linear mixed models for longitudinal data
- Matrix rank/inertia formulas for least-squares solutions with statistical applications
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