Abstract:
In this article, a bivariate generalisation of the gamma distribution is proposed
by using an unsymmetrical bivariate characteristic function; an extension to the
non central case also receives attention. The probability density functions of the
product and ratio of the correlated components of this distribution are also derived.
The benefits of introducing this generalized bivariate gamma distribution and the
distributions of the product and the ratio of its components will be demonstrated by
graphical representations of their density functions. An example of this generalized
bivariate gamma distribution to rainfall data for two specific districts in the
North West province is also given to illustrate the greater versatility of the new
distribution.
