Refined properties for the Mellin transform, with applications to convergence of families obtained by biasing or by the stationary excess operator

Wisssem al Jedidi, Fethi Bouzeffour, Nouf Harthi

We first provide some properties of the Mellin transform of nonnegative random variables, such that monotonicity, injectivity and effect of size biasing. Convergence of Mellin tran…