On equivalence of predictors/estimators under a multivariate general linear model with augmentation
DOI10.1016/j.jkss.2017.04.001zbMath1377.62143OpenAlexW2611503080MaRDI QIDQ1674046
Publication date: 1 November 2017
Published in: Journal of the Korean Statistical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jkss.2017.04.001
BLUPKronecker productbest linear unbiased estimatorBLUEbest linear unbiased predictortrue modelparametric functionsmultivariate general linear modelover-parameterized model
Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05) Parametric inference under constraints (62F30) Analysis of variance and covariance (ANOVA) (62J10)
Related Items (7)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On connections among OLSEs and BLUEs of whole and partial parameters under a general linear model
- On decompositions of BLUEs under a partitioned linear model with restrictions
- Optimal designs under a multivariate linear model with additional nuisance parameters
- Matrix rank and inertia formulas in the analysis of general linear models
- A new analysis of the relationships between a general linear model and its mis-specified forms
- On equalities of estimations of parametric functions under a general linear model and its restricted models
- Some equalities for estimations of partial coefficients under a general linear regression model
- Orderings of linear models
- Comparison of linear experiments with known covariances
- A new derivation of BLUPs under random-effects model
- Equalities for estimators of partial parameters under linear model with restrictions
- Effect of adding regressors on the equality of the BLUEs under two linear models
- Reduction problems in comparison of linear models
- Changes in the general linear model: A unified approach
- Comparison of linear normal experiments
- Some remarks on general linear model with new regressors
- On simultaneous prediction in a multivariate general linear model with future observations
- More on maximal and minimal ranks of Schur complements with applications
- Inclusion and exclusion of data or parameters in the general linear model
- On equalities for BLUEs under misspecified Gauss-Markov models
- An algebraic study of BLUPs under two linear random-effects models with correlated covariance matrices
- Solutions of a constrained Hermitian matrix-valued function optimization problem with applications
- A study of the equivalence between a gauss-markoff model and its augmentation by nuisance parameters
- A matrix handling of predictions of new observations under a general random-effects model
- ADDING REGRESSORS TO OBTAIN EFFICIENCY
- Criteria for estimability in multivariate linear models
- Estimation of Regression Coefficients of Interest when Other Regression Coefficients are of no Interest
- The General Multivariate Gauss-Markov Model of the Incomplete Block Design
- Updates of statistics in a general linear model: a statistical interpretation and applications
- Equivalence of predictors under real and over-parameterized linear models
This page was built for publication: On equivalence of predictors/estimators under a multivariate general linear model with augmentation