Canonic inference and commutative orthogonal block structure

• Autorzy: Francisco P. Carvalho , João Tiago Mexia , M. Manuela Oliveira
• Języki publikacji: EN

Abstrakty

EN

It is shown how to define the canonic formulation for orthogonal models associated to commutative Jordan algebras. This canonic formulation is then used to carry out inference. The case of models with commutative orthogonal block structures is stressed out.

Słowa kluczowe

EN

COBS; canonical inference; commutative Jordan algebras

Kategorie tematyczne

• 62J05: Linear regression

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae Probability and Statistics
• Rocznik: 2008
• Tom: 28
• Numer: 2
• Strony: 171-181

Daty

wydano

2008

otrzymano

2007-10-26

poprawiono

2008-04-05

Twórcy

autor

Francisco P. Carvalho

• Department of Mathematics, Management School, Polytechnic Institute of Tomar, Portugal

autor

João Tiago Mexia

• Mathematics Department, Faculty of Science and Technology New University of Lisbon Monte da Caparica 2829-516 Caparica, Portugal

autor

M. Manuela Oliveira

• Department of Mathematics, Évora University, Portugal

Bibliografia

• [1] D.J. Ferreira, Inducing pivot variables and variance components in orthogonal normal models, Ph.D Thesis 2005.
• [2] S.M. Ferreira, Inferęncia para Modelos Ortogonais com Segregação, Tese de Doutoramento 2006.
• [3] M. Fonseca, J.T. Mexia and R. Zmyślony, Binary Operation on Jordan algebras and orthogonal normal models, Linear Algebra And Its Applications (2006), 75-86.
• [4] A.I. Khuri, Advanced Calculus with Applications in Statistics, 2nd ed., Wiley 2003.
• [5] J.T. Mexia, Best linear unbiased estimates, duality of F tests and the Scheffé multiple comparison method in presence of controlled heteroscedasticity, Comp. Stat. Data Analysis 10 (3) (1990).
• [6] J.T. Mexia, Introdução à Inferęncia Estatística Linear, Edições Universitárias Lusófonas 1995.
• [7] J.R. Schott, Matrix Analysis for Statistics, Wiley Series in Probability and Statistics 1997.
• [8] J. Seely, Linear spaces and unbiased estimators. Application to a mixed linear model, The Annals of Mathenatical Statistics 41 (5) (1970), 1735-1745.
• [9] R. Zmyślony, Completeness for a family of normal distributions, Mathematic Statistics, Banach Center Publications 6 (1980), 355-357.

Identyfikatory

DOI

10.7151/dmps.1099