Elliptical affine shape distributions for real normed division algebras
| dc.contributor.affiliation | Universidad Autónoma Agraria Antonio Narro, Calzada Antonio Narro 1923, Col. Buenavista, Saltillo, Coahuila, Mexico | spa |
| dc.contributor.affiliation | Department of Basic Sciences, Universidad de Medellín, Carrera 87 No.30-65, of. 5-103, Medellín, Colombia | spa |
| dc.contributor.author | Díaz-García J.A. | |
| dc.contributor.author | Caro-Lopera F.J. | |
| dc.date.accessioned | 2016-06-23T14:01:36Z | |
| dc.date.available | 2016-06-23T14:01:36Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | 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. | eng |
| dc.identifier.doi | 10.1016/j.jmva.2015.11.003 | |
| dc.identifier.issn | 0047259X | |
| dc.identifier.uri | http://hdl.handle.net/11407/2278 | |
| dc.language.iso | eng | |
| dc.publisher | Academic Press Inc. | spa |
| dc.relation.ispartof | Journal of Multivariate Analysis Volume 144, February 2016, Pages 139–149 | eng |
| dc.relation.isversionof | http://www.sciencedirect.com/science/article/pii/S0047259X15002717 | |
| dc.rights.accessrights | info:eu-repo/semantics/restrictedAccess | |
| dc.source | Scopus | spa |
| dc.title | Elliptical affine shape distributions for real normed division algebras | spa |
| dc.type | Article | |
| dc.type.driver | info:eu-repo/semantics/article |