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Limit order book modelling with high dimensional Hawkes processes

Author

Listed:
  • Xiaofei Lu

    (MICS - Mathématiques et Informatique pour la Complexité et les Systèmes - CentraleSupélec)

  • Frédéric Abergel

    (MICS - Mathématiques et Informatique pour la Complexité et les Systèmes - CentraleSupélec)

Abstract

The quality of various Hawkes-process-based order book models are assessed using some objective criteria. We start with a precise empirical analysis of the dependencies between order arrivals of various types, then, models built from multivariate, possibly nonlinear, Hawkes processes with multiple exponential kernels are introduced. Models are evaluated based on the distribution of forward recurrence times and the signature plot. This approach allows us to discriminate between various Hawkes-process- based models, and provide a financial interpretation of the more successful ones in terms of their behaviour at various time scales, and the presence of inhibition as well as excitation effects.

Suggested Citation

  • Xiaofei Lu & Frédéric Abergel, 2017. "Limit order book modelling with high dimensional Hawkes processes," Working Papers hal-01512430, HAL.
    • Handle: RePEc:hal:wpaper:hal-01512430
    Note: View the original document on HAL open archive server: https://hal.science/hal-01512430
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    References listed on IDEAS

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    Cited by:

    1. Ana Roldan Contreras & Anatoliy Swishchuk, 2022. "Optimal Liquidation, Acquisition and Market Making Problems in HFT under Hawkes Models for LOB," Risks, MDPI, vol. 10(8), pages 1-32, August.
    2. Marcello Rambaldi & Emmanuel Bacry & Jean-Franc{c}ois Muzy, 2018. "Disentangling and quantifying market participant volatility contributions," Papers 1807.07036, arXiv.org.

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