The use of equivalent linear models in mixed model estimation and prediction

DOI10.1080/03610928808829668zbMath0639.62064OpenAlexW2050041713WikidataQ56778026 ScholiaQ56778026MaRDI QIDQ3780301

Charles Roy Henderson

Publication date: 1988

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928808829668

zbMATH Keywords

algorithmslinear modelsinverseBLUPBLUEbest linear unbiased estimationexamplesrestricted maximum likelihoodequivalent modelprediction error variancescomputation of MIVQUEfull model vs. reduced modelmaximum variance quadratic unbiased estimationmixed model coefficient matrixREML estimates

Mathematics Subject Classification ID

Analysis of variance and covariance (ANOVA) (62J10) Probabilistic methods, stochastic differential equations (65C99)

Cites Work

• Random-Effects Models for Longitudinal Data
• Minimum variance quadratic unbiased estimation of variance components
• Some Analytical and Numerical Comparisons of Estimators for the Mixed A.O.V. Model
• Best Linear Unbiased Estimation and Prediction under a Selection Model
• Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems
• The Estimation of Environmental and Genetic Trends from Records Subject to Culling
• Recovery of inter-block information when block sizes are unequal

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