English

Parameter estimation in rough Bessel model

Probability 2023-05-25 v1

Abstract

In this paper, we construct consistent statistical estimators of the Hurst index, volatility coefficient, and drift parameter for Bessel processes driven by fractional Brownian motion with H<1/2H<1/2. As an auxiliary result, we also prove the continuity of the fractional Bessel process. The results are illustrated with simulations.

Keywords

Cite

@article{arxiv.2305.15205,
  title  = {Parameter estimation in rough Bessel model},
  author = {Yuliya Mishura and Anton Yurchenko-Tytarenko},
  journal= {arXiv preprint arXiv:2305.15205},
  year   = {2023}
}