English

Large Deviation asymptotics for the exit from a domain of the bridge of a general Diffusion

Probability 2014-06-19 v1

Abstract

We provide Large Deviation estimates for the bridge of a dd-dimensional general diffusion process as the conditioning time tends to 00 and apply these results to the evaluation of the asymptotics of its exit time probabilities. We are motivated by applications to numerical simulation, especially in connection with stochastic volatility models.

Keywords

Cite

@article{arxiv.1406.4649,
  title  = {Large Deviation asymptotics for the exit from a domain of the bridge of a general Diffusion},
  author = {Paolo Baldi and Lucia Caramellino and Maurizia Rossi},
  journal= {arXiv preprint arXiv:1406.4649},
  year   = {2014}
}

Comments

15 pages, 2 figures