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.
