Prediction in a class of mixed models with two variance components

DOI10.1016/0378-3758(88)90054-7zbMath0642.62040OpenAlexW2025340122MaRDI QIDQ1101165

Julio L. Peixoto

Publication date: 1988

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(88)90054-7

zbMATH Keywords

best unbiased predictormixed linear modelsbalanced factorbalanced one-way random modelexact mean squared errors of two-stage predictorsJames-Stein predictorlinear combination of fixed and random effectsproportional frequencies

Mathematics Subject Classification ID

Ridge regression; shrinkage estimators (Lasso) (62J07) Analysis of variance and covariance (ANOVA) (62J10)

Cites Work

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• Extension of the Gauss-Markov theorem to include the estimation of random effects
• Comparisons of Alternative Predictors Under the Balanced One-Way Random Model
• Approximations for Standard Errors of Estimators of Fixed and Random Effect in Mixed Linear Models
• Unbiasedness of two-stage estimation and prediction procedures for mixed linear models
• Sub-Balanced Data and the Mixed Analysis of Variance
• Best Linear Unbiased Estimation and Prediction under a Selection Model
• Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems
• Best Linear Unbiased Prediction in the Generalized Linear Regression Model
• The Estimation of Environmental and Genetic Trends from Records Subject to Culling

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