English

Edgeworth expansion for the integrated Levy driven Ornstein-Uhlenbeck process

Probability 2013-04-10 v1 Statistics Theory Statistics Theory

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.

Cite

@article{arxiv.1304.2456,
  title  = {Edgeworth expansion for the integrated Levy driven Ornstein-Uhlenbeck process},
  author = {Hiroki Masuda and Nakahiro Yoshida},
  journal= {arXiv preprint arXiv:1304.2456},
  year   = {2013}
}

Comments

9 pages

R2 v1 2026-06-21T23:56:15.836Z