Sums, products, and ratios for the bivariate lomax distribution

We derive the distributions of S=X+Y, D=X-Y, P=XY and W=X/(X+Y) and the corresponding moment properties when X and Y follow the bivariate lomax distribution. Some expressions involve the Gauss hypergeometric function. We also provide an extensive tabulation of the associated percentage points. This tabulation-obtained using intensive computing power-will be of use to practitioners of the lomax distribution.