Determinants, permanents and some applications to statistical shape theory

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dc.contributor.affiliationDepartamento de Ciencias Básicas, Universidad de Medellín, Medellín, Colombiaspa
dc.contributor.affiliationCentro de Investigación en Matemáticas, Monterrey, Mexicospa
dc.contributor.affiliationDepartment of Mathematics and Statistics, McMaster University, Hamilton, ON, Canadaspa
dc.contributor.authorCaro-Lopera F.J.
dc.contributor.authorGonzalez-Farias G.
dc.contributor.authorBalakrishnan N.
dc.date.accessioned2015-10-09T13:17:53Z
dc.date.available2015-10-09T13:17:53Z
dc.date.issued2013
dc.description.abstractA formula for the determinant of a matrix in terms of powers of traces is presented. Then, some expansions for powers of determinants of positive definite matrices in terms of zonal polynomials are derived. By making use of these, the associated elliptical families of matrix-variate distributions are obtained and applied in the framework of statistical shape theory, through the determination of the central non-isotropic configuration density. Finally, a relationship between the determinant and the permanent of a matrix is obtained.eng
dc.identifier.doi10.1016/j.jmva.2012.07.008
dc.identifier.issn0047259X
dc.identifier.urihttp://hdl.handle.net/11407/1370
dc.language.isoeng
dc.relation.ispartofJournal of Multivariate Analysis, febrero de 2013, volume 114, issue 1, pp 29-39eng
dc.relation.isversionofhttp://www.sciencedirect.com/science/article/pii/S0047259X12001765
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.sourceScopusspa
dc.subject.proposalDeterminanteng
dc.subject.proposalElliptical distributionseng
dc.subject.proposalPermanenteng
dc.subject.proposalStatistical shape theoryeng
dc.subject.proposalZonal and invariant polynomialseng
dc.titleDeterminants, permanents and some applications to statistical shape theoryeng
dc.typeArticle
dc.type.driverinfo:eu-repo/semantics/article

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