The Distribution of the Product of Non-Central Beta Variates

This paper is concerned with the probability distribution of the product of independent noncentral beta variates. Using series expansion of incomplete beta function, it is shown that this distribution is poisson weighted sum of mixtures of central beta densities. Thus the result given here is more general than those reported by Steece (1976), Nandi (1980) and Onukogu and Gupta (1981).