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Berry-Esseen bound for the Parameter Estimation of Fractional Ornstein-Uhlenbeck Processes

Probability 2019-08-16 v5

Abstract

For an Ornstein-Uhlenbeck process driven by fractional Brownian motion with Hurst index H[12,34]H\in [\frac12,\frac34], we show the Berry-Ess\'een bound of the least squares estimator of the drift parameter. We use an approach based on Malliavin calculus given by Kim and Park \cite{kim 3}.

Keywords

Cite

@article{arxiv.1806.01487,
  title  = {Berry-Esseen bound for the Parameter Estimation of Fractional Ornstein-Uhlenbeck Processes},
  author = {Yong Chen and Nenghui Kuang and Ying Li},
  journal= {arXiv preprint arXiv:1806.01487},
  year   = {2019}
}

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10 pages