Statistical Theory of Shape Under Elliptical Models via Polar Decompositions

daíz-García J.A.; Caro-Lopera F.J.

doi:10.1007/s13171-018-0132-z

dc.creator	daíz-García J.A.	spa
dc.creator	Caro-Lopera F.J.	spa
dc.date.accessioned	2018-10-31T13:44:23Z
dc.date.available	2018-10-31T13:44:23Z
dc.date.created	2018
dc.identifier.issn	0976836X
dc.identifier.uri	http://hdl.handle.net/11407/4900
dc.description	A new model of statistical shape theory under elliptical models is proposed by using the polar decomposition. This work completes the group of SVD and QR shape densities obtained from the transpose of the square root of a non singular Wishart matrix. The associated non isotropic and non central polar shape distributions are set in the context of consistent computable series of zonal polynomials. Then the inference procedures with elliptical assumptions can be performed at the same computational cost of the published routines based on Gaussian models. As an example of the technique, a classical application in Biology is studied under three models, the usual Gaussian and two Kotz type models; then the best model is selected by a modified BIC; criterion, and a test for equality in polar shapes is performed. The published results for this landmark data under isotropic Gaussian models and procrustes theory are also discussed. © 2018 Indian Statistical Institute	spa
dc.language.iso	eng
dc.publisher	Springer India	spa
dc.relation.isversionof	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85047834801&doi=10.1007%2fs13171-018-0132-z&partnerID=40&md5=760e06e85d9e9f72cd8aa1353e73fd11	spa
dc.source	Scopus	spa
dc.subject	Maximum likelihood estimators	spa
dc.subject	Non-central and non-isotropic shape density	spa
dc.subject	Polar decomposition.	spa
dc.subject	Shape theory	spa
dc.subject	Wishart type distributions	spa
dc.subject	Zonal polynomials	spa
dc.title	Statistical Theory of Shape Under Elliptical Models via Polar Decompositions	spa
dc.type	Article in Press	eng
dc.rights.accessrights	info:eu-repo/semantics/restrictedAccess
dc.publisher.program	Ciencias Básicas	spa
dc.contributor.affiliation	daíz-García, J.A., Universidad Autónoma de Chihuahua;Caro-Lopera, F.J., Universidad de Medellín	spa
dc.identifier.doi	10.1007/s13171-018-0132-z
dc.relation.citationstartpage	1
dc.relation.citationendpage	21
dc.publisher.faculty	Facultad de Ciencias Básicas	spa
dc.relation.ispartofes	Sankhya A	spa
dc.type.version	info:eu-repo/semantics/publishedVersion
dc.type.driver	info:eu-repo/semantics/article

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