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The Hawkes model is suitable for describing self and mutually exciting random events. In addition, the exponential decay in the Hawkes process allows us to calculate the moment properties in the model. However, due to the complexity of the…

Statistical Finance · Quantitative Finance 2024-09-24 Kyungsub Lee

In this paper we propose an overview of the recent academic literature devoted to the applications of Hawkes processes in finance. Hawkes processes constitute a particular class of multivariate point processes that has become very popular…

Trading and Market Microstructure · Quantitative Finance 2015-05-19 Emmanuel Bacry , Iacopo Mastromatteo , Jean-François Muzy

This study examines the use of a recurrent neural network for estimating the parameters of a Hawkes model based on high-frequency financial data, and subsequently, for computing volatility. Neural networks have shown promising results in…

Statistical Finance · Quantitative Finance 2023-04-25 Kyungsub Lee

We present a careful analysis of possible issues on the application of the self-excited Hawkes process to high-frequency financial data. We carefully analyze a set of effects leading to significant biases in the estimation of the…

Statistical Finance · Quantitative Finance 2014-07-04 Vladimir Filimonov , Didier Sornette

We present a Hawkes model approach to foreign exchange market in which the high frequency price dynamics is affected by a self exciting mechanism and an exogenous component, generated by the pre-announced arrival of macroeconomic news. By…

Trading and Market Microstructure · Quantitative Finance 2015-06-19 Marcello Rambaldi , Paris Pennesi , Fabrizio Lillo

We introduce a model-independent approximation for the branching ratio of Hawkes self-exciting point processes. Our estimator requires knowing only the mean and variance of the event count in a sufficiently large time window, statistics…

Statistical Finance · Quantitative Finance 2014-12-17 Stephen J. Hardiman , Jean-Philippe Bouchaud

Many fits of Hawkes processes to financial data look rather good but most of them are not statistically significant. This raises the question of what part of market dynamics this model is able to account for exactly. We document the…

Statistical Finance · Quantitative Finance 2015-03-24 Mehdi Lallouache , Damien Challet

Targeting a better understanding of credit market dynamics, the authors have studied a stochastic model named the Hawkes process. Describing trades arrival times, this kind of model allows for the capture of self-excitement and mutual…

Applications · Statistics 2019-02-12 Achraf Bahamou , Maud Doumergue , Philippe Donnat

A point process for event arrivals in high frequency trading is presented. The intensity is the product of a Hawkes process and high dimensional functions of covariates derived from the order book. Conditions for stationarity of the process…

Trading and Market Microstructure · Quantitative Finance 2026-05-12 Luca Mucciante , Alessio Sancetta

The Hawkes process, a self-exciting point process, has a wide range of applications in modeling earthquakes, social networks and stock markets. The established estimation process requires that researchers have access to the exact time…

Methodology · Statistics 2024-11-15 Lingxiao Zhou , Georgia Papadogeorgou

We introduce a multivariate Hawkes process that accounts for the dynamics of market prices through the impact of market order arrivals at microstructural level. Our model is a point process mainly characterized by 4 kernels associated with…

Trading and Market Microstructure · Quantitative Finance 2013-01-08 E. Bacry , J. F Muzy

We test three common information criteria (IC) for selecting the order of a Hawkes process with an intensity kernel that can be expressed as a mixture of exponential terms. These processes find application in high-frequency financial data…

Statistical Finance · Quantitative Finance 2017-04-05 J. M. Chen , A. G. Hawkes , E. Scalas , M. Trinh

Traditionally, Hawkes processes are used to model time--continuous point processes with history dependence. Here we propose an extended model where the self--effects are of both excitatory and inhibitory type and follow a Gaussian Process.…

Machine Learning · Statistics 2021-05-21 Noa Malem-Shinitski , Cesar Ojeda , Manfred Opper

A point process model for order flows in limit order books is proposed, in which the conditional intensity is the product of a Hawkes component and a state-dependent factor. In the LOB context, state observations may include the observed…

Trading and Market Microstructure · Quantitative Finance 2021-12-06 Emmanouil Sfendourakis , Ioane Muni Toke

Hawkes processes are a class of point processes that have the ability to model the self- and mutual-exciting phenomena. Although the classic Hawkes processes cover a wide range of applications, their expressive ability is limited due to…

Machine Learning · Computer Science 2021-06-10 Feng Zhou , Quyu Kong , Yixuan Zhang , Cheng Feng , Jun Zhu

This study examine the theoretical and empirical perspectives of the symmetric Hawkes model of the price tick structure. Combined with the maximum likelihood estimation, the model provides a proper method of volatility estimation…

Statistical Finance · Quantitative Finance 2019-08-15 Kyungsub Lee , Byoung Ki Seo

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…

Mathematical Finance · Quantitative Finance 2025-03-20 Neal Batra

This study proposes a versatile model for the dynamics of the best bid and ask prices using an extended Hawkes process. The model incorporates the zero intensities of the spread-narrowing processes at the minimum bid-ask spread,…

Trading and Market Microstructure · Quantitative Finance 2022-01-26 Kyungsub Lee , Byoung Ki Seo

Point processes are widely used statistical models for continuous-time discrete event data, such as medical records, crime reports, and social network interactions, to capture the influence of historical events on future occurrences. In…

Machine Learning · Statistics 2026-01-13 Xiuyuan Cheng , Tingnan Gong , Yao Xie

Many self-exciting systems change because endogenous amplification, as opposed to exogenous forcing, varies. We study a Hawkes process with fixed background rate and kernel, but piecewise time-varying productivity. For exponential kernels…

Other Statistics · Statistics 2025-12-30 Conor Kresin , Boris Baeumer , Sophie Phillips
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