On the Use of Bivariate Mellin Transform in Bivariate Random Scaling and Some Applications

Abstract

We discuss here the problem of bivariate random scaling. Both direct and inverse problems of bivariate random scaling are solved by two methods. While the first method is a distributional one, the second method is an indirect one associated with bivariate Mellin transform. Finally, we use bivariate random scaling for some statistical and simulational applications.