Doney, R. A.
(2004)
*Small-time behaviour of Lévy processes.*
Electronic Journal of Probability, 9.
pp. 209-229.
ISSN 1083-6489

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## Abstract

In this paper a necessary and sufficient condition is established for the probability that a Lévy process is positive at time t to tend to 1 as t tends to 0. This condition is expressed in terms of the characteristics of the process, and is also shown to be equivalent to two probabilistic statements about the behaviour of the process for small time t.

Item Type: | Article |
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Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 60 Probability theory and stochastic processes |

Depositing User: | Ms Lucy van Russelt |

Date Deposited: | 19 Nov 2007 |

Last Modified: | 20 Oct 2017 14:12 |

URI: | http://eprints.maths.manchester.ac.uk/id/eprint/900 |

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