On the existence of the Gauss-Markov estimators in linear mixed models

DOI10.1007/s13163-009-0024-9zbMath1201.62069OpenAlexW1993386490MaRDI QIDQ1958672

Gabriela Beganu

Publication date: 4 October 2010

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-009-0024-9

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05) Applications of functional analysis in probability theory and statistics (46N30)

Cites Work

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• Quadratic estimators of covariance components in a multivariate mixed linear model
• Gauss-Markov estimation for multivariate linear models with missing observations
• Statistical applications of Jordan algebras
• Representations of best linear unbiased estimators in the Gauss-Markoff model with a singular dispersion matrix
• That BLUP is a good thing: The estimation of random effects. With comments and a rejoinder by the author
• Linear models. Least squares and alternatives.
• Linear mixed models and penalized least squares
• Multivariate Repeated-Measurement or Growth Curve Models with Multivariate Random-Effects Covariance Structure
• Response Surface Models with Random Block Effects
• Best quadratic unbiased estimation in variance-covariance component models²
• When are Gauss-Markov and Least Squares Estimators Identical? A Coordinate-Free Approach
• On Canonical Forms, Non-Negative Covariance Matrices and Best and Simple Least Squares Linear Estimators in Linear Models
• Gauss-Markov Estimation for Multivariate Linear Models: A Coordinate Free Approach
• Linear Spaces and Unbiased Estimation--Application to the Mixed Linear Model

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