Of course ........
Since the random variable Y and W are independent, their joint p.d.f. g(y,w)will be the product of their individual p.d.f.'s. Furthermore, since both y and W have ... distributions, it follows from the p.d.f. of the....distribution, as given in section 7,2, that g(y,w)has the following form, for y > 0 and w > 0: