On the bivariate Kummer-beta type IV distribution

Jacobs, Rianne; Bekker, Andriette, 1958-; Human, Schalk William

dc.contributor.author	Jacobs, Rianne
dc.contributor.author	Bekker, Andriette, 1958-
dc.contributor.author	Human, Schalk William
dc.date.accessioned	2017-01-17T06:33:25Z
dc.date.available	2017-01-17T06:33:25Z
dc.date.issued	2012
dc.description.abstract	In this paper the non-central bivariate Kummer-beta type IV distribution is introduced and derived via the Laplace transform of the non-central bivariate beta distribution by Gupta et al. (2009). We focus on and discuss the central bivariate Kummer-beta type IV distribution; this distribution is a special case of the non-central bivariate Kummer-beta type IV distribution and extends the popular Jones’ bivariate beta distribution. The probability density functions of the product and the ratio of the components of the central bivariate Kummer-beta type IV distribution are also derived and we provide tabulations of the associated lower percentage points as well as some upper percentage points that are useful in reliability.	en_ZA
dc.description.department	Statistics	en_ZA
dc.description.sponsorship	National Research Foundation, South Africa	en_ZA
dc.description.uri	http://www.tandfonline.com/loi/lsta20	en_ZA
dc.identifier.citation	R. Jacobs , A. Bekker & S.W. Human (2012) On the Bivariate Kummer-Beta Type IV Distribution, Communications in Statistics - Theory and Methods, 41:18, 3339-3354,DOI: 10.1080/03610926.2011.560737.	en_ZA
dc.identifier.issn	0361-0926 (print)
dc.identifier.issn	1532-415X (online)
dc.identifier.other	http://www.tandfonline.com/loi/lsta20
dc.identifier.uri	http://hdl.handle.net/2263/58531
dc.language.iso	en	en_ZA
dc.publisher	Routledge	en_ZA
dc.rights	© Taylor and Francis LLC. This is an electronic version of an article published in Communications in Statistics Theory and Methods, vol. 41, no. 18, pp. 3339-3354, 2012. doi : 10.1080/03610926.2011.560737. Communications in Statistics Theory and Methods is available online at : http://www.tandfonline.comloi/lsta20.	en_ZA
dc.subject	Bivariate Kummer-beta type IV distribution	en_ZA
dc.subject	Confluent hypergeometric function	en_ZA
dc.subject	Confluent hypergeometric series of two variables	en_ZA
dc.subject	Gauss hypergeometric function	en_ZA
dc.subject	Laplace transform	en_ZA
dc.subject	Meijer’s G-function	en_ZA
dc.subject	Mellin transform	en_ZA
dc.subject	Percentage points	en_ZA
dc.subject	Percentiles	en_ZA
dc.subject	Product	en_ZA
dc.subject	Ratio	en_ZA
dc.title	On the bivariate Kummer-beta type IV distribution	en_ZA
dc.type	Postprint Article	en_ZA