Bimatrix variate beta type IV distribution : relation to Wilks's statistic and bimatrix variate Kummer-beta type IV distribution

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dc.contributor.author Bekker, Andriette, 1958-
dc.contributor.author Roux, Jacobus J.J.
dc.contributor.author Ehlers, Rene
dc.contributor.author Arashi, Mohammad
dc.date.accessioned 2012-04-11T06:13:20Z
dc.date.available 2013-05-31T00:20:03Z
dc.date.issued 2011-11
dc.description.abstract In this article, the bimatrix variate beta Type IV distribution is derived from independent Wishart distributed matrix variables. We explore specific properties of this distribution which is then used to derive the exact expressions of the densities of the product and ratio of two dependent Wilks’s statistics and to define the bimatrix Kummer-beta Type IV distribution. en
dc.description.librarian nf2012 en
dc.description.sponsorship The National Research Foundation, South Africa (FA2007043000003) and the Research and Development Programme (University of Pretoria). en_US
dc.description.uri http://www.tandfonline.com/loi/lsta20 en_US
dc.identifier.citation A. Bekker, J. J. J. Roux, R. Ehlers & M. Arashi (2011): Bimatrix Variate Beta Type IV Distribution: Relation to Wilks's Statistic and Bimatrix Variate Kummer-Beta Type IV Distribution, Communications in Statistics - Theory and Methods, 40:23, 4165-4178. en
dc.identifier.issn 0361-0926 (print)
dc.identifier.issn 1532-415X (online)
dc.identifier.other 10.1080/03610926.2010.508145
dc.identifier.uri http://hdl.handle.net/2263/18544
dc.language.iso en en_US
dc.publisher Routledge en_US
dc.rights © Taylor & Francis. This is an electronic version of an article published in Communications in Statistics—Theory and Methods, 40: 4165–4178, 2011. Communications in Statistics—Theory and Methods is available online at: http://www.tandfonline.com/loi/lsta20. en
dc.subject Bimatrix variate beta type IV distribution en
dc.subject Bimatrix variate Kummerbeta type IV distribution en
dc.subject Invariant polynomials en
dc.subject Meijer’s G-function en
dc.subject Moment generating function en
dc.subject Wilks’ statistic en
dc.subject Wishart distribution en
dc.subject.lcsh Multivariate analysis en
dc.subject.lcsh Beta functions en
dc.subject.lcsh Hypergeometric functions en
dc.title Bimatrix variate beta type IV distribution : relation to Wilks's statistic and bimatrix variate Kummer-beta type IV distribution en
dc.type Postprint Article en


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