Best estimation of variance components with arbitrary kurtosis in two-way layouts mixed models

DOI10.1016/0378-3758(94)00030-YzbMath0812.62076OpenAlexW2029242387MaRDI QIDQ1347135

Jerzy K. Baksalary, Sanpei Kageyama, Stanisław Gnot

Publication date: 15 May 1995

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(94)00030-y

zbMATH Keywords

linear modelvariance componentsmixed model without interactiontwo-way layoutsminimum norm invariant quadratic unbiased estimatorsunbiased invariant quadratic estimatorsuniformly minimum variance

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Statistical block designs (62K10) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (1)

On some of Jerzy Baksalary's contributions to the theory of block designs

Cites Work

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• Characterizations of two-way layouts from the point of view of variance component estimation in the corresponding mixed linear models
• Optimal unbiased estimation of variance components
• On the theory of connected designs: Characterization and optimality
• Best estimation of variance components from balanced data, with arbitrary kurtosis
• Theorems Concerning Eisenhart's Model II
• Dispersion Matrices for Variance Components Models
• Estimation of variance and covariance components—MINQUE theory
• Quadratic Subspaces and Completeness
• Linear Spaces and Unbiased Estimation
• Linear Spaces and Unbiased Estimation--Application to the Mixed Linear Model

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