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Related papers: Event-Based Limit Order Book Simulation under a Ne…

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In the present work we introduce a novel multi-agent model with the aim to reproduce the dynamics of a double auction market at microscopic time scale through a faithful simulation of the matching mechanics in the limit order book. The…

Trading and Market Microstructure · Quantitative Finance 2015-05-18 Marco Bartolozzi

The self-exciting Hawkes process is widely used to model events which occur in bursts. However, many real world data sets contain missing events and/or noisily observed event times, which we refer to as data distortion. The presence of such…

Applications · Statistics 2021-06-03 Isabella Deutsch , Gordon J. Ross

This paper studies the fill probabilities of limit orders placed at different price levels in a limit order book. These probabilities play a central role in execution optimization, as limit orders are not guaranteed to be executed and…

Trading and Market Microstructure · Quantitative Finance 2026-02-09 Felix Lokin , Fenghui Yu

Hawkes processes are a class of self-exciting point processes that are used to model complex phenomena. While most applications of Hawkes processes assume that event data occurs in continuous-time, the less-studied discrete-time version of…

Applications · Statistics 2023-06-01 Trinnhallen Brisley , Gordon Ross , Daniel Paulin , Jake Easto

We demonstrate an application of risk-sensitive reinforcement learning to optimizing execution in limit order book markets. We represent taking order execution decisions based on limit order book knowledge by a Markov Decision Process; and…

Trading and Market Microstructure · Quantitative Finance 2021-01-07 Svitlana Vyetrenko , Shaojie Xu

In this paper we develop a new form of agent-based model for limit order books based on heterogeneous trading agents, whose motivations are liquidity driven. These agents are abstractions of real market participants, expressed in a…

Statistical Finance · Quantitative Finance 2015-01-20 Efstathios Panayi , Gareth Peters

We construct a general procedure for the Quasi Likelihood Analysis applied to a multivariate point process on the real half line in an ergodic framework. More precisely, we assume that the stochastic intensity of the underlying model…

Statistics Theory · Mathematics 2016-09-28 Simon Clinet , Nakahiro Yoshida

We showcase how Quantile Regression (QR) can be applied to forecast financial returns using Limit Order Books (LOBs), the canonical data source of high-frequency financial time-series. We develop a deep learning architecture that…

Trading and Market Microstructure · Quantitative Finance 2019-06-13 Zihao Zhang , Stefan Zohren , Stephen Roberts

We propose a microstructural model for the order flow in financial markets that distinguishes between {\it core orders} and {\it reaction flow}, both modeled as Hawkes processes. This model has a natural scaling limit that reconciles a…

Statistical Finance · Quantitative Finance 2026-02-03 Johannes Muhle-Karbe , Youssef Ouazzani Chahdi , Mathieu Rosenbaum , Grégoire Szymanski

Modelling and forecasting the occurrence of extreme events is especially difficult when the event process is nonstationary, with changes in both the rate at which extremes occur and the magnitude of the extremes when they occur. We approach…

Methodology · Statistics 2026-05-06 Gordon J. Ross , Dean Markwick

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

We design multi-horizon forecasting models for limit order book (LOB) data by using deep learning techniques. Unlike standard structures where a single prediction is made, we adopt encoder-decoder models with sequence-to-sequence and…

Machine Learning · Computer Science 2021-08-30 Zihao Zhang , Stefan Zohren

We study the dynamics of the limit order book of liquid stocks after experiencing large intra-day price changes. In the data we find large variations in several microscopical measures, e.g., the volatility the bid-ask spread, the bid-ask…

Trading and Market Microstructure · Quantitative Finance 2009-10-26 Bence Toth , Janos Kertesz , J. Doyne Farmer

In this work, we investigate the market-making problem on a trading session in which a continuous phase on a limit order book is followed by a closing auction. Whereas standard optimal market-making models typically rely on terminal…

Trading and Market Microstructure · Quantitative Finance 2026-01-27 Julius Graf , Thibaut Mastrolia

We propose a Multivariate Spatio-Temporal Neural Hawkes Process for modeling complex multivariate event data with spatio-temporal dynamics. The proposed model extends continuous-time neural Hawkes processes by integrating spatial…

Machine Learning · Statistics 2026-03-03 Christopher Chukwuemeka , Hojun You , Mikyoung Jun

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

This work's purpose is to understand the dynamics of limit order books in order-driven markets. We try to illustrate a dynamical trading mechanism attached to the microstructure of limit order markets. We capture the iterative nature of…

Trading and Market Microstructure · Quantitative Finance 2014-01-13 Shilei Wang

Previous attempts to predict stock price from limit order book (LOB) data are mostly based on deep convolutional neural networks. Although convolutions offer efficiency by restricting their operations to local interactions, it is at the…

Trading and Market Microstructure · Quantitative Finance 2022-12-06 Damian Kisiel , Denise Gorse

We introduce a new non parametric method that allows for a direct, fast and efficient estimation of the matrix of kernel norms of a multivariate Hawkes process, also called branching ratio matrix. We demonstrate the capabilities of this…

Trading and Market Microstructure · Quantitative Finance 2017-06-13 Massil Achab , Emmanuel Bacry , Jean-François Muzy , Marcello Rambaldi

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