21–23 mars 2023
Institut de Mathématiques de Toulouse
Fuseau horaire Europe/Paris

The normal approximation of compound Hawkes functionals

22 mars 2023, 09:00
55m
Amphi Schwartz (Institut de Mathématiques de Toulouse)

Amphi Schwartz

Institut de Mathématiques de Toulouse

Université Paul Sabatier Institut de Mathématiques de Toulouse 118, route de Narbonne F-31062 Toulouse Cedex 9

Orateur

Mahmoud Khabou (IMT, Université de Toulouse)

Description

Joint work with N. Privault and A. Réveillac

We derive quantitative bounds in the Wasserstein distance for the approximation of stochastic integrals of deterministic and non-negative integrands with respect to Hawkes processes by a normally distributed random variable. Our results are specifically applied to compound Hawkes processes, and improve on the current literature where estimates may not converge to zero in large time, or have been obtained only for specific kernels such as the exponential or Erlang functions.

Documents de présentation

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