A continuous random variable X has a Pareto distribution with parameter ? > 0 if it has a density fX(x) = ?x-(?+1) for x ? 1 and equal to zero elsewhere. Notation X~Pareto(?). Suppose that X and Y are independent random variables, X~Pareto(?) and Y~Pareto(?) for ? ? ?. Find the density of Z=XY. Solution.