Canonic inference and commutative orthogonal block structure

Francisco P. Carvalho; João Tiago Mexia; M. Manuela Oliveira

Discussiones Mathematicae Probability and Statistics (2008)

  • Volume: 28, Issue: 2, page 171-181
  • ISSN: 1509-9423

Abstract

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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.

How to cite

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Francisco P. Carvalho, João Tiago Mexia, and M. Manuela Oliveira. "Canonic inference and commutative orthogonal block structure." Discussiones Mathematicae Probability and Statistics 28.2 (2008): 171-181. <http://eudml.org/doc/277029>.

@article{FranciscoP2008,
abstract = {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.},
author = {Francisco P. Carvalho, João Tiago Mexia, M. Manuela Oliveira},
journal = {Discussiones Mathematicae Probability and Statistics},
keywords = {COBS; canonical inference; commutative Jordan algebras},
language = {eng},
number = {2},
pages = {171-181},
title = {Canonic inference and commutative orthogonal block structure},
url = {http://eudml.org/doc/277029},
volume = {28},
year = {2008},
}

TY - JOUR
AU - Francisco P. Carvalho
AU - João Tiago Mexia
AU - M. Manuela Oliveira
TI - Canonic inference and commutative orthogonal block structure
JO - Discussiones Mathematicae Probability and Statistics
PY - 2008
VL - 28
IS - 2
SP - 171
EP - 181
AB - 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.
LA - eng
KW - COBS; canonical inference; commutative Jordan algebras
UR - http://eudml.org/doc/277029
ER -

References

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  1. [1] D.J. Ferreira, Inducing pivot variables and variance components in orthogonal normal models, Ph.D Thesis 2005. 
  2. [2] S.M. Ferreira, Inferęncia para Modelos Ortogonais com Segregação, Tese de Doutoramento 2006. 
  3. [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. Zbl1113.62004
  4. [4] A.I. Khuri, Advanced Calculus with Applications in Statistics, 2nd ed., Wiley 2003. Zbl1136.26300
  5. [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). Zbl0825.62484
  6. [6] J.T. Mexia, Introdução à Inferęncia Estatística Linear, Edições Universitárias Lusófonas 1995. 
  7. [7] J.R. Schott, Matrix Analysis for Statistics, Wiley Series in Probability and Statistics 1997. 
  8. [8] J. Seely, Linear spaces and unbiased estimators. Application to a mixed linear model, The Annals of Mathenatical Statistics 41 (5) (1970), 1735-1745. Zbl0263.62041
  9. [9] R. Zmyślony, Completeness for a family of normal distributions, Mathematic Statistics, Banach Center Publications 6 (1980), 355-357. Zbl0464.62003

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