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Hawkes processes are a class of simple point processes that are self-exciting and have clustering effect, with wide applications in finance, social networks and many other fields. This paper considers a self-exciting Hawkes process where…

Trading and Market Microstructure · Quantitative Finance 2018-01-10 Xuefeng Gao , Xiang Zhou , Lingjiong Zhu

We develop a new market-making model, from the ground up, which is tailored towards high-frequency trading under a limit order book (LOB), based on the well-known classification of order types in market microstructure. Our flexible…

Trading and Market Microstructure · Quantitative Finance 2020-01-31 Baron Law , Frederi Viens

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

We propose a framework for studying optimal market making policies in a limit order book (LOB). The bid-ask spread of the LOB is modelled by a Markov chain with finite values, multiple of the tick size, and subordinated by the Poisson…

Trading and Market Microstructure · Quantitative Finance 2011-06-29 Fabien Guilbaud , Huyen Pham

The Hawkes model is a past-dependent point process, widely used in various fields for modeling temporal clustering of events. Extending this framework, the multidimensional marked Hawkes process incorporates multiple interacting event types…

Methodology · Statistics 2025-05-20 Anna Bonnet , Charlotte Dion-Blanc , Maya Sadeler-Perrin

Market information events are generated intermittently and disseminated at high speeds in real-time. Market participants consume this high-frequency data to build limit order books, representing the current bids and offers for a given…

Trading and Market Microstructure · Quantitative Finance 2024-08-08 Aditya Nittur Anantha , Shashi Jain

We introduce a Markovian single point process model, with random intensity regulated through a buffer mechanism and a self-exciting effect controlling the arrival stream to the buffer. The model applies the principle of the Hawkes process…

Probability · Mathematics 2017-10-12 Ingemar Kaj , Mine Caglar

We show that multivariate Hawkes processes coupled with the nonparametric estimation procedure first proposed in Bacry and Muzy (2015) can be successfully used to study complex interactions between the time of arrival of orders and their…

Trading and Market Microstructure · Quantitative Finance 2018-07-10 Marcello Rambaldi , Emmanuel Bacry , Fabrizio Lillo

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

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

We introduce a multivariate Hawkes process with constraints on its conditional density. It is a multivariate point process with conditional intensity similar to that of a multivariate Hawkes process but certain events are forbidden with…

Applications · Statistics 2014-02-14 Ban Zheng , François Roueff , Frédéric Abergel

We propose a microstructural modeling framework for studying optimal market making policies in a FIFO (first in first out) limit order book (LOB). In this context, the limit orders, market orders, and cancel orders arrivals in the LOB are…

Trading and Market Microstructure · Quantitative Finance 2020-02-21 Frédéric Abergel , Côme Huré , Huyên Pham

In this paper we consider classes of models that have been recently developed for quantitative finance that involve modelling a highly complex multivariate, multi-attribute stochastic process known as the Limit Order Book (LOB). The LOB is…

Computational Finance · Quantitative Finance 2015-04-23 Gareth W. Peters , Efstathios Panayi , Francois Septier

Accurately forecasting the direction of financial returns poses a formidable challenge, given the inherent unpredictability of financial time series. The task becomes even more arduous when applied to cryptocurrency returns, given the…

Statistical Finance · Quantitative Finance 2023-12-29 Raffaele Giuseppe Cestari , Filippo Barchi , Riccardo Busetto , Daniele Marazzina , Simone Formentin

Hawkes processes have seen a number of applications in finance, due to their ability to capture event clustering behaviour typically observed in financial systems. Given a calibrated Hawkes process, of concern is the statistical fit to…

Trading and Market Microstructure · Quantitative Finance 2016-04-18 Roger Martins , Dieter Hendricks

We introduce a point process regression model that is applicable to price models and limit order book models. Hawkes type autoregression in the intensity process is generalized to a stochastic regression to covariate processes. We establish…

Statistics Theory · Mathematics 2015-12-08 Teppei Ogihara , Nakahiro Yoshida

Because of their tractability and their natural interpretations in term of market quantities, Hawkes processes are nowadays widely used in high-frequency finance. However, in practice, the statistical estimation results seem to show that…

Statistical Finance · Quantitative Finance 2015-03-13 Thibault Jaisson , Mathieu Rosenbaum

Limit Order Books (LOBs) serve as a mechanism for buyers and sellers to interact with each other in the financial markets. Modelling and simulating LOBs is quite often necessary for calibrating and fine-tuning the automated trading…

Trading and Market Microstructure · Quantitative Finance 2024-03-04 Konark Jain , Nick Firoozye , Jonathan Kochems , Philip Treleaven

A simple Hawkes model have been developed for the price tick structure dynamics incorporating market microstructure noise and trade clustering. In this paper, the model is extended with random mark to deal with more realistic price tick…

Statistical Finance · Quantitative Finance 2019-07-30 Kyungsub Lee , Byoung Ki Seo

We propose a limit order book (LOB) model with dynamics that account for both the impact of the most recent order and the shape of the LOB. We present an empirical analysis showing that the type of the last order significantly alters the…

Trading and Market Microstructure · Quantitative Finance 2017-10-31 Federico Gonzalez , Mark Schervish