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arXiv · 2503.14814

Modelling High-Frequency Data with Bivariate Hawkes Processes: Power-Law vs. Exponential Kernels

Neal Batra
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Abstract

This study explores the application of Hawkes processes to model high-frequency data in the context of limit order books. Two distinct Hawkes-based models are proposed and analyzed: one utilizing exponential kernels and the other employing power-law kernels. These models are implemented within a bivariate framework. The performance of each model is evaluated using high-frequency trading data, with a focus on their ability to reproduce key statistical properties of limit order books. Through a comprehensive comparison, we identify the strengths and limitations of each kernel type, providing insights into their suitability for modeling high-frequency financial data. Simulations are conducted to validate the models, and the results are interpreted. Based on these insights, a trading strategy is formulated.

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Neal Batra. 2025-03-19. Modelling High-Frequency Data with Bivariate Hawkes Processes: Power-Law vs. Exponential Kernels. https://arxiv.org/abs/2503.14814

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