English

Some new concentration inequalities for the It\^o stochastic integral

Probability 2024-03-07 v2

Abstract

In this paper, based on the techniques of Malliavin calculus, we provide some new concentration inequalities for the running supremum of the It\^o stochastic integral with unbounded integrands. Several applications and examples are provided as well.

Keywords

Cite

@article{arxiv.2310.18699,
  title  = {Some new concentration inequalities for the It\^o stochastic integral},
  author = {Nguyen Tien Dung},
  journal= {arXiv preprint arXiv:2310.18699},
  year   = {2024}
}

Comments

17 pages. To appear in Bernoulli