English

Exact sampling of diffusions with a discontinuity in the drift

Methodology 2017-01-24 v1 Probability

Abstract

We introduce exact methods for the simulation of sample paths of one-dimensional diffusions with a discontinuity in the drift function. Our procedures require the simulation of finite-dimensional candidate draws from probability laws related to those of Brownian motion and its local time and are based on the principle of retrospective rejection sampling. A simple illustration is provided.

Keywords

Cite

@article{arxiv.1511.04112,
  title  = {Exact sampling of diffusions with a discontinuity in the drift},
  author = {Omiros Papaspiliopoulos and Gareth O. Roberts and Kasia B. Taylor},
  journal= {arXiv preprint arXiv:1511.04112},
  year   = {2017}
}

Comments

13 pages

R2 v1 2026-06-22T11:44:06.107Z