Elliptical affine shape distributions for real normed division algebras

José A. Díaz-García, Francisco J. Caro-Lopera

Resultado de la investigación: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

Resumen

© 2015 Elsevier Inc. The statistical affine shape theory is set in this work in the context of real normed division algebras. The general densities apply for every field: real, complex, quaternion, octonion, and for any noncentral and non-isotropic elliptical distribution; then the separated published works about real and complex shape distributions can be obtained as corollaries by a suitable selection of the field parameter and univariate integrals involving the generator elliptical function. As a particular case, the complex normal affine density is derived and applied in brain magnetic resonance scans of normal and schizophrenic patients.
Idioma originalInglés estadounidense
Páginas (desde-hasta)139-149
Número de páginas11
PublicaciónJournal of Multivariate Analysis
DOI
EstadoPublicada - 1 feb 2016

Huella dactilar

Function generators
Division Algebra
Magnetic resonance
Set theory
Algebra
Brain
Octonions
Elliptical Distribution
Magnetic Resonance
Quaternion
Univariate
Corollary
Generator
Integral
Elliptical distribution

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Díaz-García, José A. ; Caro-Lopera, Francisco J. / Elliptical affine shape distributions for real normed division algebras. En: Journal of Multivariate Analysis. 2016 ; pp. 139-149.
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Díaz-García, JA & Caro-Lopera, FJ 2016, 'Elliptical affine shape distributions for real normed division algebras', Journal of Multivariate Analysis, pp. 139-149. https://doi.org/10.1016/j.jmva.2015.11.003

Elliptical affine shape distributions for real normed division algebras. / Díaz-García, José A.; Caro-Lopera, Francisco J.

En: Journal of Multivariate Analysis, 01.02.2016, p. 139-149.

Resultado de la investigación: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

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N2 - © 2015 Elsevier Inc. The statistical affine shape theory is set in this work in the context of real normed division algebras. The general densities apply for every field: real, complex, quaternion, octonion, and for any noncentral and non-isotropic elliptical distribution; then the separated published works about real and complex shape distributions can be obtained as corollaries by a suitable selection of the field parameter and univariate integrals involving the generator elliptical function. As a particular case, the complex normal affine density is derived and applied in brain magnetic resonance scans of normal and schizophrenic patients.

AB - © 2015 Elsevier Inc. The statistical affine shape theory is set in this work in the context of real normed division algebras. The general densities apply for every field: real, complex, quaternion, octonion, and for any noncentral and non-isotropic elliptical distribution; then the separated published works about real and complex shape distributions can be obtained as corollaries by a suitable selection of the field parameter and univariate integrals involving the generator elliptical function. As a particular case, the complex normal affine density is derived and applied in brain magnetic resonance scans of normal and schizophrenic patients.

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Díaz-García JA, Caro-Lopera FJ. Elliptical affine shape distributions for real normed division algebras. Journal of Multivariate Analysis. 2016 feb 1;139-149. https://doi.org/10.1016/j.jmva.2015.11.003

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