Generalized L/'evy Stochastic Areas and Selfdecomposability

preprint2010arXivOpen access

Abstract

We show that a conditional characteristic function of generalized Lévy stochastic areas can be viewed as a product a selfdecomposable distribution (i.e., Lévy class L distribution) and its background driving characteristic function. This provides a stochastic interpretation for a ratio of some Bessel functions as well as examples of characteristic functions from van Dantzig class.

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