English

Strict local martingales: examples

Probability 2017-06-06 v2

Abstract

We show that a continuous local martingale is a strict local martingale if its supremum process is not in Lα L_\alpha for a positive number α\alpha smaller than 11. Using this we construct a family of strict local martingales.

Keywords

Cite

@article{arxiv.1609.00935,
  title  = {Strict local martingales: examples},
  author = {Xue-Mei Li},
  journal= {arXiv preprint arXiv:1609.00935},
  year   = {2017}
}

Comments

To appear: Statistics and Probability Letters

R2 v1 2026-06-22T15:39:31.840Z