Artikel

Multivariate general compound point processes in limit order books

In this paper, we focus on a new generalization of multivariate general compound Hawkes process (MGCHP), which we referred to as the multivariate general compound point process (MGCPP). Namely, we applied a multivariate point process to model the order flow instead of the Hawkes process. The law of large numbers (LLN) and two functional central limit theorems (FCLTs) for the MGCPP were proved in this work. Applications of the MGCPP in the limit order market were also considered. We provided numerical simulations and comparisons for the MGCPP and MGCHP by applying Google, Apple, Microsoft, Amazon, and Intel trading data.

Sprache
Englisch

Erschienen in
Journal: Risks ; ISSN: 2227-9091 ; Volume: 8 ; Year: 2020 ; Issue: 3 ; Pages: 1-20 ; Basel: MDPI

Klassifikation
Wirtschaft
Thema
point process (PP)
multivariate point processes (MPP)
multivariate general compound point processes (MGCPP)
limit order books (LOB)
functional central limit theorems (FCLT)
law of large numbers (LLN)

Ereignis
Geistige Schöpfung
(wer)
Guo, Qi
Remillard, Bruno
Sviščuk, Anatolij
Ereignis
Veröffentlichung
(wer)
MDPI
(wo)
Basel
(wann)
2020

DOI
doi:10.3390/risks8030098
Handle
Letzte Aktualisierung
10.03.2025, 11:44 MEZ

Datenpartner

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Objekttyp

  • Artikel

Beteiligte

  • Guo, Qi
  • Remillard, Bruno
  • Sviščuk, Anatolij
  • MDPI

Entstanden

  • 2020

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