English

Piecewise constant local martingales with bounded numbers of jumps

Probability 2016-12-26 v1

Abstract

A piecewise constant local martingale MM with boundedly many jumps is a uniformly integrable martingale if and only if MM_\infty^- is integrable.

Keywords

Cite

@article{arxiv.1612.08038,
  title  = {Piecewise constant local martingales with bounded numbers of jumps},
  author = {Johannes Ruf},
  journal= {arXiv preprint arXiv:1612.08038},
  year   = {2016}
}