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dc.contributor.authorDíaz-García J.A
dc.contributor.authorCaro-Lopera F.J.
dc.date.accessioned2022-09-14T14:33:54Z
dc.date.available2022-09-14T14:33:54Z
dc.date.created2022
dc.identifier.issn3783758
dc.identifier.urihttp://hdl.handle.net/11407/7518
dc.descriptionA new family of matrix variate distributions indexed by elliptical models is proposed in this work. The termed multimatricvariate distributions emerge as a generalisation of the bimatrix variate distributions based on matrix variate Gamma distributions and independence. Some properties and special cases of the multimatricvariate distributions are also derived. Two new interesting Jacobians in the area are also provided. Finally, an application for time dependent data of DNA molecules is studied. © 2021 Elsevier B.V.eng
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.isversionofhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85107825925&doi=10.1016%2fj.jspi.2021.05.011&partnerID=40&md5=202c4b009eb7e5f786871c5c0283211b
dc.sourceJournal of Statistical Planning and Inference
dc.titleMultimatricvariate distribution under elliptical models
dc.typeArticle
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.publisher.programCiencias Básicas
dc.type.spaArtículo
dc.identifier.doi10.1016/j.jspi.2021.05.011
dc.subject.keywordBimatrix variateeng
dc.subject.keywordMatricvariateeng
dc.subject.keywordMatrix variateeng
dc.subject.keywordMatrix variate elliptical distributionseng
dc.subject.keywordRandom matriceseng
dc.relation.citationvolume216
dc.relation.citationstartpage109
dc.relation.citationendpage117
dc.publisher.facultyFacultad de Ciencias Básicas
dc.affiliationDíaz-García, J.A., Universidad de Medellín, Faculty of Basic Sciences, Carrera 87 No.30-65, of. 5-103, Medellín, Colombia
dc.affiliationCaro-Lopera, F.J., Universidad de Medellín, Faculty of Basic Sciences, Carrera 87 No.30-65, of. 5-103, Medellín, Colombia
dc.relation.referencesBekker, A., Roux, J.J.J., Ehlers, E., Arashi, M., Bimatrix variate beta type IV distribution: relation to Wilks's statistics and bimatrix variate Kummer-beta type IV distribution (2011) Comm. Statist. Theory Methods, 40, pp. 4165-4178
dc.relation.referencesCaro-Lopera, F.J., Díaz-García, J.A., González-Farías, G., Noncentral elliptical configuration density (2010) J. Multivariate Anal., 101, pp. 32-43
dc.relation.referencesChen, J.J., Novick, M.R., Bayesian analysis for binomial models with generalized beta prior distributions (1984) J. Educ. Statist., 9, pp. 163-175
dc.relation.referencesDíaz-García, J.A., Caro-Lopera, F.J., Estimation of mean form and mean form difference under elliptical laws (2017) Electron. J. Stat., 11 (1), pp. 2424-2460
dc.relation.referencesDíaz-García, J.A., Gutiérrez-Jáimez, R., Bimatrix variate generalised beta distributions (2010) South African Statist. J., 44, pp. 193-208
dc.relation.referencesDíaz-García, J.A., Gutiérrez-Jáimez, R., Complex bimatrix variate generalised beta distributions (2010) Linear Algebra Appl., 432 (2-3), pp. 571-582
dc.relation.referencesDíaz-García, J.A., Gutiérrez-Jáimez, R., Noncentral bimatrix variate generalised beta distributions (2011) Metrika, 73 (3), pp. 317-333
dc.relation.referencesDickey, J.M., Matricvariate generalizations of the multivariate t- distribution and the inverted multivariate t-distribution (1967) Ann. Math. Stat., 38, pp. 511-518
dc.relation.referencesDryden, I.L., Mardia, K.V., Statistical Shape Analysis (1998), John Wiley and Sons Chichester
dc.relation.referencesEhlers, R., Bimatrix Variate Distributions of Wishart Ratios with Application (2011), http://hdl.handle.net/2263/31284, (Doctoral dissertation) Faculty of Natural & Agricultural Sciences University of Pretoria Pretoria
dc.relation.referencesFang, K.T., Zhang, Y.T., Generalized Multivariate Analysis (1990), Science Press, Springer-Verlag Beijing
dc.relation.referencesFréchet, M., Sur les tableaux de corrélation dont les marges sont données (1951) Ann. Univ. Lyon, 14 (Sect. A Ser. 3), pp. 53-77
dc.relation.referencesGupta, A.K., Varga, T., Elliptically Contoured Models in Statistics (1993), Kluwer Academic Publishers Dordrecht
dc.relation.referencesHoeffding, W., Masstabinvariante korrelationstheorie (1940) Schr. Mat. Inst. Inst. Angew. Math. Univ. Berlin, 5, pp. 179-223
dc.relation.referencesLibby, D.L., Novick, M.R., Multivariate Generalized beta distributions with applications to utility assessment (1982) J. Educ. Statist., 7, pp. 271-294
dc.relation.referencesMuirhead, R.J., Aspects of Multivariate Statistical Theory (2005), John Wiley & Sons New York
dc.relation.referencesNadarajah, S., A bivariate gamma model for drought (2007) Water Resour. Res., 43, p. W08501
dc.relation.referencesNadarajah, S., A bivariate distribution with gamma and beta marginals with application to drought data (2013) J. Appl. Stat., 36 (3), pp. 277-301
dc.relation.referencesOlkin, I., Liu, R., A bivariate beta distribution (2003) Statist. Probab. Lett., 62, pp. 407-412
dc.relation.referencesOlkin, I., Rubin, H., Multivariate beta distributions and independence properties of Wishart distribution (1964) Ann. Math. Stat., 35, pp. 261-269. , Correction 1966, 37(1), 297
dc.relation.referencesSarabia, J.M., Prieto, F., Jordá, V., Bivariate beta-generated distributions with application to well-being data (2014) J. Statist. Distrib. Appl., 1, p. 15. , http://www.jsdajournal.com/content/1/1/15
dc.relation.referencesSklar, A., Fonctions de répartition à n dimensions et leurs marges (1959) Inst. Statist. Univ. Paris Publ., 8, pp. 229-231
dc.type.coarhttp://purl.org/coar/resource_type/c_6501
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dc.type.driverinfo:eu-repo/semantics/article
dc.identifier.reponamereponame:Repositorio Institucional Universidad de Medellín
dc.identifier.repourlrepourl:https://repository.udem.edu.co/
dc.identifier.instnameinstname:Universidad de Medellín


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