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Statistical theory of shape under elliptical models and singular value decompositions
dc.creator | Diaz-Garcia J.A. | spa |
dc.creator | Caro-Lopera F.J. | spa |
dc.date.accessioned | 2015-10-09T13:17:52Z | |
dc.date.available | 2015-10-09T13:17:52Z | |
dc.date.created | 2012 | |
dc.identifier.issn | 0047259X | |
dc.identifier.uri | http://hdl.handle.net/11407/1364 | |
dc.description.abstract | The size-and-shape and shape distributions based on non-central and non-isotropic elliptical distributions are derived in this paper by using the singular value decomposition (SVD). The general densities require the computation of new integrals involving zonal polynomials. The invariance of the central shape distribution is also proved. Finally, some particular densities are applied in a classical data of Biology, and the inference based on exact distributions is performed after choosing the best model by using a modified BIC* criterion. © 2011 Elsevier Inc. | eng |
dc.language.iso | eng | |
dc.relation.isversionof | http://www.sciencedirect.com/science/article/pii/S0047259X11001229 | spa |
dc.source | Scopus | spa |
dc.title | Statistical theory of shape under elliptical models and singular value decompositions | eng |
dc.type | Article | eng |
dc.rights.accessrights | info:eu-repo/semantics/restrictedAccess | |
dc.rights.accessrights | info:eu-repo/semantics/restrictedAccess | |
dc.contributor.affiliation | Universidad Autónoma Agraria Antonio Narro, Department of Statistics and Computation, 25315 Buenavista, Saltillo, Coahuila, Mexico | spa |
dc.contributor.affiliation | Universidad de Medellín, Department of Basic Sciences, Carrera 87 No.30-65, of. 5-103, Medellín, Colombia | spa |
dc.identifier.doi | 10.1016/j.jmva.2011.06.010 | |
dc.subject.keyword | 15A52 | eng |
dc.subject.keyword | 60E05 | eng |
dc.subject.keyword | 62E15 | eng |
dc.subject.keyword | Maximum likelihood estimators | eng |
dc.subject.keyword | Non-central and non-isotropic shape density | eng |
dc.subject.keyword | Shape theory | eng |
dc.subject.keyword | Singular value decomposition | eng |
dc.subject.keyword | Zonal polynomials | eng |
dc.relation.ispartofen | Journal of Multivariate Analysis, enero de 2012, volume 103, issue 1, pp 77-92 | eng |
dc.type.driver | info:eu-repo/semantics/article |
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