On the bivariate Kummer-beta type IV distribution
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Date
Authors
Jacobs, Rianne
Bekker, Andriette, 1958-
Human, Schalk William
Journal Title
Journal ISSN
Volume Title
Publisher
Routledge
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.
Description
Keywords
Bivariate Kummer-beta type IV distribution, Confluent hypergeometric function, Confluent hypergeometric series of two variables, Gauss hypergeometric function, Laplace transform, Meijer’s G-function, Mellin transform, Percentage points, Percentiles, Product, Ratio
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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.