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Erdélyi-Kober fractional integral operators from a statistical perspective (I)

Erdélyi-Kober fractional integral operators from a statistical perspective (I)

In this article we examine the densities of a product and a ratio of two real positive scalar random variables $x_1$ and $x_2$, which are statistically independently distributed, and we consider the density of the product $u_1=x_1x_2$ as well as the density of the ratio $u_2=\frac{x_2}{x_1}$ and show that Kober …