Triply noncentral bivariate beta type V distribution

dc.contributor.authorEhlers, Rene
dc.contributor.authorBekker, Andriette, 1958-
dc.contributor.authorRoux, Jacobus J.J.
dc.date.accessioned2012-10-03T07:00:14Z
dc.date.available2012-10-03T07:00:14Z
dc.date.issued2012
dc.description.abstractThe enriched triply noncentral bivariate beta type V distribution is introduced. This distribution is constructed from independent chi-squared random variables by using the variables-in-common (or trivariate reduction) technique. The marginal density, product moment and the distribution of the product of the correlated components of this distribution are also derived. The effect of the additional parameters on the shape of the density functions and the correlation between the correlated variables is shown. Special cases are highlighted to position this distribution in the bivariate beta distributions context.en_US
dc.description.sponsorshipThe National Research Foundation, Grant (Re:2007043000003) and the Thuthuka programme.en_US
dc.description.urihttp://www.sastat.org.za/journal.htmen_US
dc.identifier.citationEhlers, R, Bekker, A & Roux, JJJ 20121, 'Triply noncentral bivariate beta type V distribution', South African Statistical Journal, vol. 46, no. 2, pp. 221-246.en_US
dc.identifier.issn0038-271X
dc.identifier.urihttp://hdl.handle.net/2263/19963
dc.language.isoenen_US
dc.publisherSouth African Statistical Associationen_US
dc.rightsSouth African Statistical Associationen_US
dc.subjectAppell function of the first kinden_US
dc.subjectBivariate beta type I distributionen_US
dc.subjectBivariate beta type III distributionen_US
dc.subjectChi-squared random variablesen_US
dc.subjectConfluent hypergeometric function in m variablesen_US
dc.subjectGauss hypergeometric functionen_US
dc.subjectH-functionen_US
dc.subjectTriply noncentral bivariate beta type V distributionen_US
dc.titleTriply noncentral bivariate beta type V distributionen_US
dc.typeArticleen_US

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