On the product and ratio of Laplace and Bessel random variables

Abstract

The distributions of products and ratios of random variables are of interest in many areas of the sciences. In this paper, the exact distributions of the product $\left|XY\right|$ and the ratio $\left|X/Y\right|$ are derived when $X$ and $Y$ are Laplace and Bessel function random variables distributed independently of each other.