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We develop a model for point processes on the real line, where the intensity can be locally unbounded without inducing an explosion. In contrast to an orderly point process, for which the probability of observing more than one event over a…

Econometrics · Economics 2026-01-16 Kim Christensen , Alexei Kolokolov

Algorithmic trading relies on extracting meaningful signals from diverse financial data sources, including candlestick charts, order statistics on put and canceled orders, traded volume data, limit order books, and news flow. While deep…

Machine Learning · Computer Science 2025-04-22 Kasymkhan Khubiev , Mikhail Semenov

The paper proposes a class of financial market models which are based on inhomogeneous telegraph processes and jump diffusions with alternating volatilities. It is assumed that the jumps occur when the tendencies and volatilities are…

Pricing of Securities · Quantitative Finance 2008-12-04 Nikita Ratanov

We briefly review data analysis of the Island order book, part of NASDAQ, which suggests a framework to which all limit order markets should comply. Using a simple exclusion particle model, we argue that short-time price over-diffusion in…

Statistical Mechanics · Physics 2009-11-07 Damien Challet , Robin Stinchcombe

We study a financial market where the risky asset is modelled by a geometric It\^o-L\'{e}vy process, with a singular drift term. This can for example model a situation where the asset price is partially controlled by a company which…

Mathematical Finance · Quantitative Finance 2020-08-24 Nacira Agram , Bernt Øksendal

Robust mechanism design is a rising alternative to Bayesian mechanism design, which yields designs that do not rely on assumptions like full distributional knowledge. We apply this approach to mechanisms for selling a single item, assuming…

Computer Science and Game Theory · Computer Science 2022-05-24 Nir Bachrach , Inbal Talgam-Cohen

The existing literature provides evidence that limit order book data can be used to predict short-term price movements in stock markets. This paper proposes a new neural network architecture for predicting return jump arrivals in equity…

Trading and Market Microstructure · Quantitative Finance 2021-09-17 Ymir Mäkinen , Juho Kanniainen , Moncef Gabbouj , Alexandros Iosifidis

We study the relaxation dynamics of the bid-ask spread and of the midprice after a sudden, large variation of the spread, corresponding to a temporary crisis of liquidity in a double auction financial market. We find that the spread decays…

Physics and Society · Physics 2008-12-02 Adam Ponzi , Fabrizio Lillo , Rosario N. Mantegna

We consider a pair of traders in a market where the information available to the second trader is a strict subset of the information available to the first trader. The traders make prices based on the information available concerning a…

Mathematical Finance · Quantitative Finance 2024-01-24 George Bouzianis , Lane P. Hughston , Leandro Sánchez-Betancourt

We say that a random variable is $light$-$tailed$ if moments of order $2+\epsilon$ are finite for some $\epsilon>0$; otherwise, we say that it is $heavy$-$tailed$. We study queueing networks that operate under the Max-Weight scheduling…

Systems and Control · Electrical Eng. & Systems 2023-02-28 Arsalan Sharifnassab , John N. Tsitsiklis

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

The price-bubble and crash process formation is theoretically investigated in a two-asset equilibrium model. Sufficient and necessary conditions are derived for the existence of average equilibrium price dynamics of different agent-based…

Trading and Market Microstructure · Quantitative Finance 2024-09-06 Francesco Cordoni

We examine the correlation of the limit price with the order book, when a limit order comes. We analyzed the Rebuild Order Book of Stock Exchange Electronic Trading Service, which is the centralized order book market of London Stock…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Jun-ichi Maskawa

Continuous double auctions such as the limit order book employed by exchanges are widely used in practice to match buyers and sellers of a variety of financial instruments. In this work, we develop an agent-based model for trading in a…

Computational Finance · Quantitative Finance 2021-11-01 Mahmoud Mahfouz , Tucker Balch , Manuela Veloso , Danilo Mandic

Using data from a live trading experiment on the Binance Bitcoin perpetual, we examine the effects of (i) basic order book mechanics and (ii) the persistence of price changes from immediate to short timescales, revealing the interplay…

Trading and Market Microstructure · Quantitative Finance 2025-11-25 Jakob Albers , Mihai Cucuringu , Sam Howison , Alexander Y. Shestopaloff

Despite the fact that an intraday market price distribution is not normal, the random walk model of price behaviour is as important for the understanding of basic principles of the market as the pendulum model is a starting point of many…

Trading and Market Microstructure · Quantitative Finance 2019-08-14 Oleh Danyliv , Bruce Bland , Alexandre Argenson

Mounting empirical evidence suggests that the observed extreme prices within a trading period can provide valuable information about the volatility of the process within that period. In this paper we define a class of stochastic volatility…

Statistical Finance · Quantitative Finance 2009-01-12 Abel Rodriguez , Henryk Gzyl , German Molina , Enrique ter Horst

We study the optimal timing strategies for trading a mean-reverting price process with afinite deadline to enter and a separate finite deadline to exit the market. The price process is modeled by a diffusion with an affine drift that…

Trading and Market Microstructure · Quantitative Finance 2018-01-09 Yerkin Kitapbayev , Tim Leung

We study a repeated trading problem in which a mechanism designer facilitates trade between a single seller and multiple buyers. Our model generalizes the classic bilateral trade setting to a multi-buyer environment. Specifically, the…

Computer Science and Game Theory · Computer Science 2025-03-04 Anna Lunghi , Matteo Castiglioni , Alberto Marchesi

This paper poses a few fundamental questions regarding the attributes of the volume profile of a Limit Order Books stochastic structure by taking into consideration aspects of intraday and interday statistical features, the impact of…

Statistical Finance · Quantitative Finance 2015-04-23 Kylie-Anne Richards , Gareth W. Peters , William Dunsmuir