2 papers
math.PR2025
Multivariate Self-Exciting Processes with Dependencies
Caroline Hillairet, Thomas Peyrat, Anthony Réveillac
This paper introduces the class of multidimensional self-exciting processes with dependencies (MSPD), which is a unifying writing for a large class of processes: counting, loss, in…
math.PR2024
Poisson imbedding meets the Clark-Ocone formula
Caroline Hillairet, Thomas Peyrat, Anthony Réveillac
In this paper we develop a representation formula of Clark-Ocone type for any integrable Poisson functionals, which extends the Poisson imbedding for point processes. This represen…