Estimation in models with commutative orthogonal block structure

DOI10.1080/15598608.2009.10411942zbMath1211.62093OpenAlexW1979966767MaRDI QIDQ2431698

Manuela M. Oliveira, Francisco Carvalho, João Tiago Mexia

Publication date: 18 April 2011

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15598608.2009.10411942

zbMATH Keywords

variance componentscommutative Jordan algebrasmixed linear modelscommutative orthogonal block structure

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05) Eigenvalues, singular values, and eigenvectors (15A18) Jordan structures associated with other structures (17C50) Sufficient statistics and fields (62B05)

Related Items (3)

A dimension reduction technique for estimation in linear mixed models ⋮ Complete and sufficient statistics and perfect families in orthogonal and error orthogonal normal models ⋮ Models with commutative orthogonal block structure: a general condition for commutativity

Cites Work

• Unnamed Item
• Unnamed Item
• Jordan algebras and Bayesian quadratic estimation of variance components
• Sufficent conditions for orthogonal designs in mixed linear models
• Balance and orthogonality in designs for mixed classification models
• Block designs: a randomization approach. Vol. 2: Design
• Linear Spaces and Minimum Variance Unbiased Estimation
• Quadratic Subspaces and Completeness
• Linear Spaces and Unbiased Estimation
• Linear Spaces and Unbiased Estimation--Application to the Mixed Linear Model

This page was built for publication: Estimation in models with commutative orthogonal block structure