On the equivalence of estimations under a general linear model and its transformed models
From MaRDI portal
Publication:1017620
DOI10.1016/j.laa.2008.09.016zbMath1160.62330OpenAlexW2008875082MaRDI QIDQ1017620
Publication date: 12 May 2009
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2008.09.016
estimabilityreduced modelsBLUEOLSEgeneral linear modelmatrix rank methodparametric functionssubsample models
Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05) Parametric inference under constraints (62F30) Theory of matrix inversion and generalized inverses (15A09)
Related Items
A matrix approach to a general partitioned linear model with partial parameter restrictions ⋮ Some overall properties of seemingly unrelated regression models ⋮ On relations between BLUPs under two transformed linear random-effects models ⋮ Fundamental Equations of BLUE and BLUP in the Multivariate Linear Model with Applications ⋮ Some Further Remarks on the Linear Sufficiency in the Linear Model ⋮ On equalities for BLUEs under misspecified Gauss-Markov models ⋮ Linear prediction sufficiency in the misspecified linear model ⋮ Estimations of parametric functions under a system of linear regression equations with correlated errors ⋮ Some properties of linear sufficiency and the BLUPs in the linear mixed model ⋮ 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 ⋮ Transformation approaches of linear random-effects models ⋮ Inertia and rank approach in transformed linear mixed models for comparison of BLUPs ⋮ Characterization of estimators uniformly shrinking on subspaces ⋮ Some equalities for estimations of partial coefficients under a general linear regression model ⋮ On additive and block decompositions of WLSEs under a multiple partitioned regression model ⋮ Some notes on linear sufficiency ⋮ On the BLUEs in Two Linear Models via C. R. Rao's Pandora's Box ⋮ Some Properties of Linear Prediction Sufficiency in the Linear Model ⋮ Upper bounds for the Euclidean distances between the BLUPs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On least squares estimation with a particular linear function of the dependent variable
- On the natural restrictions in the singular Gauss-Markov model
- On an additive decomposition of the BLUE in a multiple-partitioned linear model
- 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
- 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
- Linear sufficiency with respect to a given vector of parametric functions
- A study of the equivalence of the BLUEs between a partitioned singular linear model and its reduced singular linear models
- The BLUE and MINQUE in Gauss-Markoff model with linear transformation of the observable variables
- On equality and proportionality of ordinary least squares, weighted least squares and best linear unbiased estimators in the general linear model
- Cochran's statistical theorem revisited
- On BLU-estimation with data of different periodicity
- A property of partitioned generalized regression
- PARTIALLY SUPERFLUOUS OBSERVATIONS
- Some further results related to reduced singular linear models
- Some matrix results related to a partitioned singular linear model
- On Sum Decompositions of Weighted Least-Squares Estimators for the Partitioned Linear Model
- Cochran's statistical theorem for outer inverses of matrices and matrix quadratic forms
- THREE RANK FORMULAS ASSOCIATED WITH THE COVARIANCE MATRICES OF THE BLUE AND THE OLSE IN THE GENERAL LINEAR MODEL