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Document type:
Zeitschriftenaufsatz 
Author(s):
Bender, C., Marquardt, T. 
Title:
Stochastic calculus for convoluted Lévy processes 
Abstract:
We develop a stochastic calculus for processes which are built by convoluting a pure jump, zero expectation Lévy process with a Volterra-type kernel. This class of processes contains, for example, fractional Lévy processes as studied in Marquardt (2006b). The integral which we introduce is a Skorohod integral. Nonetheless we avoid the technicalities from Malliavin calculus and white noise analysis, and give an elementary definition based on expectations under change of measure. As a main result...    »
 
Keywords:
Skorohod integration, fractional Lévy process, convoluted Lévy process, Itô formula 
Journal title:
Bernoulli 
Year:
2007 
Journal volume:
14 
Journal issue:
Pages contribution:
499-518 
Reviewed:
ja 
Language:
en 
Status:
Verlagsversion / published 
Semester:
SS 07 
Format:
Text