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Local asymptotic normality for mixed fractional Ornstein-Uhlenbeck process under high-frequency observation

Statistics Theory 2026-03-18 v1 Statistics Theory

Abstract

This paper consider the LAN property for the mixed O-U process under high-frequency observation when H>3/4. As considered in mixed fractional Brownian motion, we will also use the projection step to get the non-diagonal rate matrix.

Keywords

Cite

@article{arxiv.2603.16785,
  title  = {Local asymptotic normality for mixed fractional Ornstein-Uhlenbeck process under high-frequency observation},
  author = {Chunhao Cai and Yiwu Shang and Cong Zhang},
  journal= {arXiv preprint arXiv:2603.16785},
  year   = {2026}
}