Open Access
April 1996 Increase of Lévy processes
R. A. Doney
Ann. Probab. 24(2): 961-970 (April 1996). DOI: 10.1214/aop/1039639372

Abstract

A rather complicated condition is shown to be necessary and sufficient for a Lévy process to have points of increase. A much simpler condition is then shown to be sufficient in the general case, and necessary under certain regularity conditions. The approach used here also gives a unified proof of results for certain special classes of Lévy processes, which have previously been obtained by Bertoin.

Citation

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R. A. Doney. "Increase of Lévy processes." Ann. Probab. 24 (2) 961 - 970, April 1996. https://doi.org/10.1214/aop/1039639372

Information

Published: April 1996
First available in Project Euclid: 11 December 2002

zbMATH: 0862.60027
MathSciNet: MR1404538
Digital Object Identifier: 10.1214/aop/1039639372

Subjects:
Primary: 60G17 , 60J30

Keywords: increase time , spectrally negative , Stable processes , Subordinators

Rights: Copyright © 1996 Institute of Mathematical Statistics

Vol.24 • No. 2 • April 1996
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