English

On the the successive passage times of certain one-dimensional diffusions

Probability 2018-04-12 v4

Abstract

We show in detail some results, outlined in a previous paper regarding the case of Brownian motion (BM), about the distribution of the nnth-passage time of a one-dimensional diffusion obtained by a space or time transformation of BM, through a constant barrier a.a. Some explicit examples are reported.

Keywords

Cite

@article{arxiv.1803.09910,
  title  = {On the the successive passage times of certain one-dimensional diffusions},
  author = {Mario Abundo and Maria Beatrice Scioscia Santoro},
  journal= {arXiv preprint arXiv:1803.09910},
  year   = {2018}
}

Comments

21 pages, 15 figures