Muliere and Scarsini's bivariate Pareto distribution: sums, products, and ratios

Abstract

HolaWe derive the exact distributions of R = X +Y , P = X Y andW = X/(X +Y ) and the corresponding moment properties when X and Y follow Muliere and Scarsini’s bivariate Pareto distribution. The expressions turn out to involve special functions. We also provide extensive tabulations of the percentage points associated with the distributions.These tables –obtained using intensive computing power– will be of use to practitioners of the bivariate Pareto distribution.