Bimatrix variate distributions of Wishart ratios with application

dc.contributor.advisorBekker, Andriette, 1958-
dc.contributor.coadvisorRoux, Jacobus J.J.
dc.contributor.postgraduateEhlers, Rene
dc.date.accessioned2013-09-09T12:10:23Z
dc.date.available2011-09-23en
dc.date.available2013-09-09T12:10:23Z
dc.date.created2011-09-09en
dc.date.issued2011-09-23en
dc.date.submitted2011-09-23en
dc.descriptionThesis (PhD)--University of Pretoria, 2011.en
dc.description.abstractThe focus of this study is the development of a group of bimatrix variate beta distributions with bounded domain for the central and noncentral cases. They are constructed from different dependent Wishart ratios. Exact expressions are derived for the density functions by using symmetrisation. The role of the parameters of these new distributions is also highlighted. These new bimatrix variate beta distributions add value to multivariate statistical analysis and an application in this field is the link to statistics that are functions of the product of determinants of bimatrix beta variates. Exact expressions are derived for the density functions of the product of determinants of these bimatrix beta variates.en
dc.description.availabilityUnrestricteden
dc.description.departmentStatisticsen
dc.identifier.citationEhlers, R 2011, Bimatrix variate distributions of Wishart ratios with application, PhD thesis, University of Pretoria, Pretoria, viewed yymmdd < http://hdl.handle.net/2263/31284 >en
dc.identifier.otherD11/9/151/hv
dc.identifier.upetdurlhttp://upetd.up.ac.za/thesis/available/etd-09232011-095742/en
dc.identifier.urihttp://hdl.handle.net/2263/31284
dc.language.isoen
dc.publisherUniversity of Pretoriaen_ZA
dc.rights© 2011, University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.en
dc.subjectUCTDen
dc.titleBimatrix variate distributions of Wishart ratios with applicationen
dc.typeThesisen

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