Minimum variance unbiased invariant estimation of variance components under normality

DOI10.1080/02331880412331328279zbMath1070.62044OpenAlexW2082065466MaRDI QIDQ5317761

Shaun S. Wulff, David S. Birkes

Publication date: 21 September 2005

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331880412331328279

zbMATH Keywords

MINQUECramer-Rao lower boundbest unbiased estimatorquadratic subspaceANOVA modelclassification modelmixed-effects linear model

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (2)

The equality of REML and ANOVA estimators of variance components in unbalanced normal classification models ⋮ Nesting segregated mixed models

Cites Work

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• Sufficent conditions for orthogonal designs in mixed linear models
• Balance and orthogonality in designs for mixed classification models
• Minimum variance quadratic unbiased estimation of variance components
• Variance Components Analysis: A Selective Literature Survey
• On Canonical Forms, Non-Negative Covariance Matrices and Best and Simple Least Squares Linear Estimators in Linear Models
• Quadratic Subspaces and Completeness
• Completeness for a Family of Multivariate Normal Distributions
• Linear Spaces and Unbiased Estimation--Application to the Mixed Linear Model

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