Complete and sufficient statistics and perfect families in orthogonal and error orthogonal normal models

• Autorzy: Aníbal Areia , Francisco Carvalho , João T. Mexia
• Języki publikacji: EN

Abstrakty

EN

We will discuss orthogonal models and error orthogonal models and their algebraic structure, using as background, commutative Jordan algebras. The role of perfect families of symmetric matrices will be emphasized, since they will play an important part in the construction of the estimators for the relevant parameters. Perfect families of symmetric matrices form a basis for the commutative Jordan algebra they generate. When normality is assumed, these perfect families of symmetric matrices will ensure that the models have complete and sufficient statistics. This will lead to uniformly minimum variance unbiased estimators for the relevant parameters.

Słowa kluczowe

EN

Orthogonal models; Perfect families; Commutative Jordan algebras

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

wydano

2015-01-01

otrzymano

2013-12-09

zaakceptowano

2014-04-03

online

2014-10-28

Twórcy

autor

Aníbal Areia

• Departamento de Economia e Gestão, Instituto Politécnico de Setúbal, 2910-761 Setúbal, Portugal

autor

Francisco Carvalho

• CMA – Centro de Matemática e Aplicações, Universidade Nova de Lisboa, Faculdade de Ciências e Tecnologia, 2829-516 Caparica, Portugal and Unidade Departamental de Matemática e Física, Instituto Politécnico de Tomar, 2300-313 Tomar, Portugal

autor

João T. Mexia

• CMA – Centro de Matemática e Aplicações, Universidade Nova de Lisboa, Faculdade de Ciências e Tecnologia, 2829-516 Caparica, Portugal

Bibliografia

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Identyfikatory

DOI

10.1515/math-2015-0009