Limit theorems for p-variations of solutions of SDEs driven by additive non-Gaussian stable Levy noise

In this paper we study the asymptotic properties of the power variations of stochastic processes of the type X=Y+L, where L is an alpha-stable Levy process, and Y a perturbation which satisfies some mild Lipschitz continuity assumptions. We establish local functional limit theorems for the power var...

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Bibliographic Details
Main Authors: Hein, C., Imkeller, P., Pavlyukevich, I.
Format: Report
Language:unknown
Published: arXiv 2008
Subjects:
Online Access:https://dx.doi.org/10.48550/arxiv.0811.3769
https://arxiv.org/abs/0811.3769