English

Conditions for a L\'evy process to stay positive near 0, in probability

Statistics Theory 2016-06-07 v1 Probability Statistics Theory

Abstract

A necessary and sufficient condition for a L\'evy process XX to stay positive, in probability, near 0, which arises in studies of Chung-type laws for XX near 0, is given in terms of the characteristics of XX.

Keywords

Cite

@article{arxiv.1606.01633,
  title  = {Conditions for a L\'evy process to stay positive near 0, in probability},
  author = {Ross A. Maller},
  journal= {arXiv preprint arXiv:1606.01633},
  year   = {2016}
}

Comments

Published at http://dx.doi.org/10.3150/15-BEJ716 in the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)