Bivariate generalised gamma distribution with arbitrary fading parameters

The three-parameter generalised gamma distribution is a versatile fading model that generalises or accurately approximates many of the commonly used distributions for multipath, shadow, and composite fading. It is difficult to evaluate the performance(s) of closely spaced dual-diversity receivers operating in such a channel because an analytical expression is not yet available for the bivariate correlated generalised gamma distribution. This report studies the bivariate generalised gamma distribution with arbitrary parameters. Expressions for the joint distribution and joint central moments are derived, and are used to obtain the outage probability for a dual-branch selection combining receiver over a correlated generalised gamma fading channel.