Explicit correlations for the Hawkes processes
Probability
2023-04-06 v1
Abstract
In this paper we fill a gap in the literature by providing exact and explicit expressions for the correlation of general Hawkes processes together with its intensity process. Our methodology relies on the Poisson imbedding representation and on recent findings on Malliavin calculus and pseudo-chaotic representation for counting processes.
Keywords
Cite
@article{arxiv.2304.02376,
title = {Explicit correlations for the Hawkes processes},
author = {Caroline Hillairet and Anthony Reveillac},
journal= {arXiv preprint arXiv:2304.02376},
year = {2023}
}