English

Limit theorems for a discrete-time Hawkes process

Probability 2021-06-23 v3

Abstract

The Hawkes process is a self-exciting sample point process. It has wide applications in finance, social networks, criminology, seismology, and many other fields. With the development of storage technology, data-driven models are attracting more attention. Furthermore, in reality, events are often recorded in a discrete-time scheme. However, Hawkes process is defined for continuous-time setting. In this paper, we study the limit theorems of a discrete-time marked Hawkes process first proposed in (Xu et al., 2020).

Keywords

Cite

@article{arxiv.2003.02810,
  title  = {Limit theorems for a discrete-time Hawkes process},
  author = {Haixu Wang},
  journal= {arXiv preprint arXiv:2003.02810},
  year   = {2021}
}
R2 v1 2026-06-23T14:05:31.485Z