Forecasting duration in high-frequency financial data using a self-exciting flexible residual point process

Fuente: arXiv
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Autore principale: Lee, Kyungsub
Natura: Preprint
Pubblicazione: 2026
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author Lee, Kyungsub
author_facet Lee, Kyungsub
contents This paper presents a method for forecasting limit order book durations using a self-exciting flexible residual point process. High-frequency events in modern exchanges exhibit heavy-tailed interarrival times, posing a significant challenge for accurate prediction. The proposed approach incorporates the empirical distributional features of interarrival times while preserving the self-exciting and decay structure. This work also examines the stochastic stability of the process, which can be interpreted as a general state-space Markov chain. Under suitable conditions, the process is irreducible, aperiodic, positive Harris recurrent, and has a stationary distribution. An empirical study demonstrates that the model achieves strong predictive performance compared with several alternative approaches when forecasting durations in ultra-high-frequency trading data.
format Preprint
id arxiv_https___arxiv_org_abs_2604_00346
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Forecasting duration in high-frequency financial data using a self-exciting flexible residual point process
Lee, Kyungsub
Statistical Finance
Trading and Market Microstructure
Applications
This paper presents a method for forecasting limit order book durations using a self-exciting flexible residual point process. High-frequency events in modern exchanges exhibit heavy-tailed interarrival times, posing a significant challenge for accurate prediction. The proposed approach incorporates the empirical distributional features of interarrival times while preserving the self-exciting and decay structure. This work also examines the stochastic stability of the process, which can be interpreted as a general state-space Markov chain. Under suitable conditions, the process is irreducible, aperiodic, positive Harris recurrent, and has a stationary distribution. An empirical study demonstrates that the model achieves strong predictive performance compared with several alternative approaches when forecasting durations in ultra-high-frequency trading data.
title Forecasting duration in high-frequency financial data using a self-exciting flexible residual point process
topic Statistical Finance
Trading and Market Microstructure
Applications
url https://arxiv.org/abs/2604.00346