On the class of distributions of subordinated L\'evy processes

Abstract

This article study the class of distributions obtained by subordinating L\'evy processes and L\'evy bases. To do this we derive properties of a suitable mapping obtained via L\'evy mixing. We show that our results can be used to solve the so-called recovery problem for general L\'evy bases as well as for moving average processes which are driven by subordinated L\'evy processes.