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Document type:
Zeitschriftenaufsatz 
Author(s):
Chong, C. and Klüppelberg, C. 
Title:
Integrability conditions for space-time stochastic integrals: Theory and applications 
Abstract:
We derive explicit integrability conditions for stochastic integrals taken over time and space driven by a random measure. Our main tool is a canonical decomposition of a random measure which extends the results from the purely temporal case. We show that the characteristics of this decomposition can be chosen as predictable strict random measures, and we compute the characteristics of the stochastic integral process. We apply our conditions to a variety of examples, in particular to ambit proce...    »
 
Keywords:
ambit process, continuous-time moving average, integrability conditions, L\'evy basis, martingale measure, predictable characteristics, random measure, stochastic integration, stochastic partial differential equation, supCARMA, supCOGARCH, supOU, Volterra process 
Journal title:
Bernoulli 
Year:
2015 
Journal volume:
21 
Journal issue:
Pages contribution:
2190-2216 
Reviewed:
ja 
Language:
en 
Print-ISSN:
1350-7265 
Status:
Verlagsversion / published 
TUM Institution:
Lehrstuhl für Mathematische Statistik 
Format:
Text