English

An extended Novikov-type criterion for local martingales with jumps

Probability 2015-04-15 v1

Abstract

For local martingales with nonnegative jumps, we prove a sufficient criterion for the corresponding exponential martingale to be a true martingale. The criterion is in terms of exponential moments of a convex combination of the optional and predictable quadratic variation. The result extends earlier known criteria.

Keywords

Cite

@article{arxiv.1210.2866,
  title  = {An extended Novikov-type criterion for local martingales with jumps},
  author = {Alexander Sokol},
  journal= {arXiv preprint arXiv:1210.2866},
  year   = {2015}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1206.7009