Binary operations on Jordan algebras and orthogonal normal models

Miguel dos Santos Fonseca; João Tiago Praça Nunes Mexia; Roman Zmyślony

doi:10.1016/j.laa.2006.03.045

Binary operations on Jordan algebras and orthogonal normal models

Miguel dos Santos Fonseca, João Tiago Praça Nunes Mexia, Roman Zmyślony

DM - Departamento de Matemática

Research output: Contribution to journal › Article

39 Citations (Scopus)

Abstract

Jordan algebras are used to present normal orthogonal models in a canonical form. Binary operations are defined on these algebras, which enable us to build complex models based on simpler ones. Properties of these operations and their relation with balanced models are studied. The canonical model formulation is interesting because it leads to complete sufficient statistics. These statistics are then used to obtain estimators in order to test hypothesis on the model parameters.

Original language	English
Pages (from-to)	75-86
Number of pages	12
Journal	Linear Algebra and Its Applications
Volume	417
Issue number	1
DOIs	https://doi.org/10.1016/j.laa.2006.03.045
Publication status	Published - 1 Aug 2006

Keywords

Linear models
UMVUE
Binary operations
Commutative Jordan algebras
Kronecker matrix product

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10.1016/j.laa.2006.03.045

https://www.scopus.com/record/display.uri?eid=2-s2.0-33745485165&origin=resultslist&sort=plf-f&src=s&st1

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abstract = "Jordan algebras are used to present normal orthogonal models in a canonical form. Binary operations are defined on these algebras, which enable us to build complex models based on simpler ones. Properties of these operations and their relation with balanced models are studied. The canonical model formulation is interesting because it leads to complete sufficient statistics. These statistics are then used to obtain estimators in order to test hypothesis on the model parameters. ",

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