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dc.creatorCaro-Lopera F.J.spa
dc.creatorGonzalez-Farias G.spa
dc.creatorBalakrishnan N.spa
dc.date.accessioned2015-12-17T19:27:46Z
dc.date.available2015-12-17T19:27:46Z
dc.date.created2015
dc.identifier.issn3610926
dc.identifier.urihttp://hdl.handle.net/11407/1552
dc.description.abstractThis article defines the so called Generalized Matrix Variate Jensen-Logistic distribution. The relevant applications of this class of distributions in Configuration Shape Theory consist of a more efficient computation, supported by the corresponding inference. This demands the solution of two important problems: (1) the development of analytical and efficient formulae for their k-th derivatives and (2) the use of the derivatives to transform the configuration density into a polynomial density under some special matrix Kummer relation, indexed in this case by the Jensen-Logistic kernel. In this article, we solve these problems by deriving a simple formula for the k-th derivative of the density function, avoiding the usual partition theory framework and using a generalization of Pascal triangles. Then we apply the results by obtaining the associated Jensen-Logistic Kummer relations and the configuration polynomial density in the setting of Statistical Shape Theory. © 2015 Taylor and Francis Group, LLC.eng
dc.language.isoeng
dc.publisherTaylor and Francis Inc.spa
dc.relation.isversionofhttp://www.scopus.com/inward/record.url?eid=2-s2.0-84938842344&partnerID=40&md5=9f33e8e284efa82bc100822e46ade478spa
dc.sourceScopusspa
dc.typeArticleeng
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
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, Canadaspa
dc.identifier.doi10.1080/03610926.2013.791374
dc.subject.keywordGeneralized Kummer relationseng
dc.subject.keywordJensen-Logistic distributioneng
dc.subject.keywordPascal triangleeng
dc.subject.keywordStatistical shape theoryeng
dc.subject.keywordZonal polynomialseng
dc.relation.ispartofenCommunications in Statistics - Theory and Methods, 2015, volume 44, issue 13, pp 2738-2752eng
dc.title.englishThe Generalized Pascal Triangle and the Matrix Variate Jensen-Logistic Distributioneng
dc.type.driverinfo:eu-repo/semantics/article


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