English

On pathwise counterparts of Doob's maximal inequalities

Probability 2015-02-10 v1

Abstract

In this paper, we present pathwise counterparts of Doob's maximal inequalities (on the probability of exceeding a level) for submartingales and supermartingales.

Keywords

Cite

@article{arxiv.1410.8264,
  title  = {On pathwise counterparts of Doob's maximal inequalities},
  author = {Alexander A. Gushchin},
  journal= {arXiv preprint arXiv:1410.8264},
  year   = {2015}
}

Comments

This is a preprint of the manuscript accepted for publication in Proceedings of the Steklov Institute of Mathematics