Edgeworth expansion for the integrated Levy driven Ornstein-Uhlenbeck process

preprint2013arXivOpen access

Abstract

We verify the Edgeworth expansion of any order for the integrated ergodic Levy driven Ornstein-Uhlenbeck process, applying a Malliavin calculus with truncation over the Wiener-Poisson space. Due to the special structure of the model, the coefficients of the expansion can be given in a closed form.

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