Simulation thinning algorithm for a CARMA(p,q)-Hawkes model

Fuente: arXiv
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Auteurs principaux: Mercuri, Lorenzo, Perchiazzo, Andrea, Rroji, Edit
Format: Preprint
Publié: 2024
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author Mercuri, Lorenzo
Perchiazzo, Andrea
Rroji, Edit
author_facet Mercuri, Lorenzo
Perchiazzo, Andrea
Rroji, Edit
contents This paper presents an algorithm for the simulation of Hawkes-type processes where the intensity is expressed in terms of a continuous-time autoregressive moving average model. We identify upper bounds for both the univariate and the multivariate intensity functions that are used to develop simulation algorithms based on the thinning technique.
format Preprint
id arxiv_https___arxiv_org_abs_2402_03275
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Simulation thinning algorithm for a CARMA(p,q)-Hawkes model
Mercuri, Lorenzo
Perchiazzo, Andrea
Rroji, Edit
Computation
This paper presents an algorithm for the simulation of Hawkes-type processes where the intensity is expressed in terms of a continuous-time autoregressive moving average model. We identify upper bounds for both the univariate and the multivariate intensity functions that are used to develop simulation algorithms based on the thinning technique.
title Simulation thinning algorithm for a CARMA(p,q)-Hawkes model
topic Computation
url https://arxiv.org/abs/2402.03275