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arxiv: 1304.2456 · v1 · pith:ID6ZOBVHnew · submitted 2013-04-09 · 🧮 math.PR · math.ST· stat.TH

Edgeworth expansion for the integrated Levy driven Ornstein-Uhlenbeck process

classification 🧮 math.PR math.STstat.TH
keywords expansiondrivenedgeworthintegratedlevyornstein-uhlenbeckprocessapplying
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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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