Estimation under a general partitioned linear model
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Publication:1595144
DOI10.1016/S0024-3795(00)00028-8zbMath0966.62033WikidataQ127700991 ScholiaQ127700991MaRDI QIDQ1595144
Publication date: 17 August 2001
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05) Admissibility in statistical decision theory (62C15)
Related Items (29)
A matrix approach to a general partitioned linear model with partial parameter restrictions ⋮ On decompositions of BLUEs under a partitioned linear model with restrictions ⋮ Estimation in singular partitioned, reduced or transformed linear models ⋮ Equalities between the BLUEs and BLUPs under the partitioned linear fixed model and the corresponding mixed model ⋮ Some Further Remarks on the Linear Sufficiency in the Linear Model ⋮ On relations between weighted least-squares estimators of parametric functions under a general partitioned linear model and its small models ⋮ Equality of the BLUPs under the mixed linear model when random components and errors are correlated ⋮ Characterizing relationships between BLUPs under linear mixed model and some associated reduced models ⋮ Properties of BLUEs in full versus small linear models ⋮ Further remarks on the connection between fixed linear model and mixed linear model ⋮ A note on Cohen's \(d\) from a partitioned linear regression model ⋮ Statistical analysis of a linear regression model with restrictions and superfluous variables ⋮ Admissibility and linear sufficiency in linear model with nuisance parameters ⋮ Equality of BLUES or BLUPS under two linear models using stochastic restrictions ⋮ Some equalities for estimations of partial coefficients under a general linear regression model ⋮ The additive and block decompositions about the WLSEs of parametric functions for a multiple partitioned linear regression model ⋮ ON EQUALITIES OF BLUES FOR A MULTIPLE RESTRICTED PARTITIONED LINEAR MODEL ⋮ Some notes on linear sufficiency ⋮ On the BLUEs in Two Linear Models via C. R. Rao's Pandora's Box ⋮ All about the \(\bot\) with its applications in the linear statistical models ⋮ On Sum Decompositions of Weighted Least-Squares Estimators for the Partitioned Linear Model ⋮ 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 ⋮ A Useful Matrix Decomposition and Its Statistical Applications in Linear Regression ⋮ The equalities of estimations under a general partitioned linear model and its stochastically restricted model ⋮ Effect of adding regressors on the equality of the BLUEs under two linear models ⋮ On two correlated linear models with common and different parameters ⋮ The Equalities of BLUPs for Linear Combinations Under Two General Linear Mixed Models ⋮ Statistical inference of a partitioned linear random-effects model
Cites Work
- Admissible linear estimators in the general Gauss-Markov model
- 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
- A property of partitioned generalized regression
- Optimal Experimental Design for Error Components Models
- Categorical information and the singular linear model
- Some further results related to reduced singular linear models
- The frisch-waugh theorem and generalized least squares
- Some matrix results related to a partitioned singular linear model
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