English

A note on first passage probabilities of a L\'evy process reflected at a general barrier

Probability 2017-05-08 v2

Abstract

In this paper we analyze a L\'evy process reflected at a general (possibly random) barrier. For this process we prove Central Limit Theorem for the first passage time. We also give the finite-time first passage probability asymptotics.

Keywords

Cite

@article{arxiv.1403.1025,
  title  = {A note on first passage probabilities of a L\'evy process reflected at a general barrier},
  author = {Zbigniew Palmowski and Przemysław Świątek},
  journal= {arXiv preprint arXiv:1403.1025},
  year   = {2017}
}