Elliptical affine shape distributions for real normed division algebras

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

Resultado de la investigación: Contribución a una revistaArtículo

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

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