On the integral modulus of infinitely divisible distributions

2018/05/04 by Berger, David
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1805.01641

Abstract

We derive some estimates for the integral modulus of continuity of probability densities of infinitely divisible distributions. The paper is splitted into two parts. The first part deals with general infinitely divisible distributions. The second part is mainly concerned with densities of random integrals with respect to a Lévy process. We will see major differences between compact and non-compact supports.

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