Transportation distance between the Lévy measures and stochastic equations for Lévy-type processes

The notion of the transportation distance on the set of the Lévy measures on $\mathbb{R}$ is introduced. A Lévy-type process with a given symbol (state dependent analogue of the characteristic triplet) is proved to be well defined as a strong solution to a stochastic differential equation (SDE) unde...

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Bibliographic Details
Main Authors: T. Kosenkova, A. Kulik
Format: Article
Language:English
Published: VTeX 2014-06-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://vmsta.vtex.vmt/doi/10.15559/vmsta-2014.1.1.7