English

Exit problem for Ornstein-Uhlenbeck processes: a random walk approach

Probability 2019-10-29 v2

Abstract

In order to approximate the exit time of a one-dimensional diffusion process, we propose an algorithm based on a random walk. Such an algorithm so-called Walk on Moving Spheres was already introduced in the Brownian context. The aim is therefore to generalize this numerical approach to the Ornstein-Uhlenbeck process and to describe the efficiency of the method.

Keywords

Cite

@article{arxiv.1906.01255,
  title  = {Exit problem for Ornstein-Uhlenbeck processes: a random walk approach},
  author = {Samuel Herrmann and Nicolas Massin},
  journal= {arXiv preprint arXiv:1906.01255},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1906.02969

R2 v1 2026-06-23T09:40:36.066Z