English

A remark on conditions that a diffusion in the natural scale is a martingale

Probability 2017-01-24 v1

Abstract

We consider a diffusion processes {Xt}\{ X_t \} on an interval in the natural scale. Some results are known under which {Xt}\{ X_t \} is a martingale, and we give simple and analytic proofs for them.

Keywords

Cite

@article{arxiv.1701.05977,
  title  = {A remark on conditions that a diffusion in the natural scale is a martingale},
  author = {Yuuki Shimizu and Fumihiko Nakano},
  journal= {arXiv preprint arXiv:1701.05977},
  year   = {2017}
}