New results for the α-µ multivariate fading model

This paper derives an exact, easily computable series-type formulation for the multivariate α-μ joint cumulative distribution function. Then, based on useful and practical assumptions, alternative, new, simpler formulations for the α-μ multivariate joint density function and its corresponding distribution function are provided. The formulations are still general and yet very simple, assuming arbitrary parameters and arbitrary correlation among the marginal α-μ variates. As an application example, the outage probability of the selection combining scheme is obtained, again in an exact manner. The results show that only a few number of terms of the series is sufficient to provide an excellent agreement between approximate and exact results.