The matrix handling of BLUE and BLUP in the mixed linear model

DOI10.1016/S0024-3795(96)00400-4zbMath0889.62059OpenAlexW2098179301WikidataQ55981494 ScholiaQ55981494MaRDI QIDQ1369300

Shayle R. Searle

Publication date: 20 October 1997

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(96)00400-4

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Analysis of variance and covariance (ANOVA) (62J10) Basic linear algebra (15A99)

Related Items (14)

On relations between BLUPs under two transformed linear random-effects models ⋮ Rank and inertia formulas for covariance matrices of BLUPs in general linear mixed models ⋮ Equality of the BLUPs under the mixed linear model when random components and errors are correlated ⋮ Some remarks on comparison of predictors in seemingly unrelated linear mixed models. ⋮ A new derivation of BLUPs under random-effects model ⋮ Further remarks on the connection between fixed linear model and mixed linear model ⋮ Inertia and rank approach in transformed linear mixed models for comparison of BLUPs ⋮ Equality of BLUES or BLUPS under two linear models using stochastic restrictions ⋮ On the equality of the BLUPs under two linear mixed models ⋮ Matrix rank and inertia formulas in the analysis of general linear models ⋮ A Further Study of Predictions in Linear Mixed Models ⋮ Linear Prediction Sufficiency for New Observations in the General Gauss–Markov Model ⋮ Some remarks on general linear model with new regressors ⋮ On the design of field experiments with correlated treatment effects

Cites Work

• That BLUP is a good thing: The estimation of random effects. With comments and a rejoinder by the author
• Best Linear Unbiased Prediction in the Generalized Linear Regression Model
• The Estimation of Environmental and Genetic Trends from Records Subject to Culling
• Maximum-likelihood estimation for the mixed analysis of variance model
• Recovery of inter-block information when block sizes are unequal
• The Distribution Theory of Runs
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