Jordan algebras, generating pivot variables and orthogonal normal models

DOI10.1080/09720502.2007.10700493zbMath1152.62003OpenAlexW2010888708MaRDI QIDQ3549471

Miguel A. Fonseca, Roman Zmyślony, João Tiago Mexia

Publication date: 28 December 2008

Published in: Journal of Interdisciplinary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720502.2007.10700493

zbMATH Keywords

mixed modelsPivot variablesUNVUE

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Estimation in multivariate analysis (62H12) Monte Carlo methods (65C05) Analysis of variance and covariance (ANOVA) (62J10) Sufficient statistics and fields (62B05) Jordan algebras (algebras, triples and pairs) (17C99)

Related Items (8)

Chisquared and related inducing pivot variables: an application to orthogonal mixed models ⋮ Confidence intervals and ellipsoids for estimable functions and estimable vectors in models with orthogonal block structure ⋮ \(L\) models and multiple regressions designs ⋮ Relevant statistics for models with commutative orthogonal block structure and unbiased estimator for variance components ⋮ Estimability of variance components when all model matrices commute ⋮ Structured orthogonal families of one and two strata prime basis factorial models ⋮ Asymptotic linearity and limit distributions, approximations ⋮ Inference for types and structured families of commutative orthogonal block structures

Cites Work

• Statistical applications of Jordan algebras
• On an algebraic generalization of the quantum mechanical formalism
• Probability with Martingales
• Foundations of Modern Probability
• Testing Hypotheses for Variance Components in Mixed Linear Models
• Linear Spaces and Minimum Variance Unbiased Estimation
• Quadratic Subspaces and Completeness
• Linear Spaces and Unbiased Estimation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Jordan algebras, generating pivot variables and orthogonal normal models