Showing papers by "Mirko D'Ovidio published in 2009"
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TL;DR: In this article, the generalized Gamma processes and their compositions are studied in terms of Fox's H-functions and the explicit law is given for the compositions of two or more than two generalized gamma processes.
Abstract: In this paper we deal with the generalized Gamma processes and their compositions. For the compositions of two or more than two generalized Gamma processes we give, when possible, the explicit law whereas, in the other cases the representations in terms of Fox's H-functions are given. We also study the connections between iteration and product of random processes by exploiting the properties of the generalized Gamma processes, such a study allows us to obtain some striking result about the compositions of the Cauchy processes or fractional Brownian motions. Furthermore, we find out the partial differential equations governing the generalized Gamma processes and their compositions
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