Integrability conditions for space-time stochastic integrals: Theory and applications
Probability
2016-08-11 v5
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 processes, which represent a rich model class.
Cite
@article{arxiv.1303.2468,
title = {Integrability conditions for space-time stochastic integrals: Theory and applications},
author = {Carsten Chong and Claudia Klüppelberg},
journal= {arXiv preprint arXiv:1303.2468},
year = {2016}
}
Comments
Published at http://dx.doi.org/10.3150/14-BEJ640 in the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)