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High-frequency trading is prevalent, where automated decisions must be made quickly to take advantage of price imbalances and patterns in price action that forecast near-future movements. While many algorithms have been explored and tested,…

Computational Finance · Quantitative Finance 2023-11-07 Koti S. Jaddu , Paul A. Bilokon

Financial markets are nonlinear with complexity, where different types of assets are traded between buyers and sellers, each having a view to maximize their Return on Investment (ROI). Forecasting market trends is a challenging task since…

Trading and Market Microstructure · Quantitative Finance 2024-11-22 Sahand Hassanizorgabad

We propose a unified mean-field framework that bridges the dynamics of informal financial markets and formal markets governed by Limit Order Books (LOBs). Both settings are modeled as interacting particle systems on a 1D price lattice, with…

Statistical Mechanics · Physics 2025-12-05 Alvaro Navarro-Rubio , Alejandro Lage-Castellanos

In this article, a multiple split method is proposed that enables construction of multidimensional probabilistic forecasts of a selected set of variables. The method uses repeated resampling to estimate uncertainty of simultaneous…

Risk Management · Quantitative Finance 2024-07-11 Katarzyna Maciejowska , Weronika Nitka

Intermittent demand forecasting is a ubiquitous and challenging problem in production systems and supply chain management. In recent years, there has been a growing focus on developing forecasting approaches for intermittent demand from…

Applications · Statistics 2022-09-01 Li Li , Yanfei Kang , Fotios Petropoulos , Feng Li

We consider a periodical equilibrium pricing problem for multiple firms over a planning horizon of T periods. At each period, firms set their selling prices and receive stochastic demand from consumers. Firms do not know their underlying…

Computer Science and Game Theory · Computer Science 2024-06-07 Yongge Yang , Yu-Ching Lee , Po-An Chen

Probabilistic electricity price forecasting (PEPF) is vital for short-term electricity markets, yet the multivariate nature of day-ahead prices - spanning 24 consecutive hours - remains underexplored. At the same time, real-time…

Machine Learning · Statistics 2026-04-27 Simon Hirsch

Electricity price forecasting (EPF) plays a critical role in power system operation and market decision making. While existing review studies have provided valuable insights into forecasting horizons, market mechanisms, and evaluation…

Computational Finance · Quantitative Finance 2026-05-13 Runyao Yu , Derek W. Bunn , Julia Lin , Jochen Stiasny , Fabian Leimgruber , Tara Esterl , Yuchen Tao , Lianlian Qi , Yujie Chen , Wentao Wang , Jochen L. Cremer

The liberalization of electricity markets and the development of renewable energy sources has led to new challenges for decision makers. These challenges are accompanied by an increasing uncertainty about future electricity price movements.…

Applications · Statistics 2018-09-12 Florian Ziel , Rick Steinert

Electricity market price predictions enable energy market participants to shape their consumption or supply while meeting their economic and environmental objectives. By utilizing the basic properties of the supply-demand matching process…

Applications · Statistics 2019-06-11 Ana Radovanovic , Tommaso Nesti , Bokan Chen

We present a simple dynamic equilibrium model for an online exchange where both buyers and sellers arrive according to a exogenously defined stochastic process. The structure of this exchange is motivated by the limit order book mechanism…

Computer Science and Game Theory · Computer Science 2008-12-02 Garud Iyengar , Anuj Kumar

Understanding the micro-dynamics of asset prices in modern electronic order books is crucial for investors and regulators. In this paper, we use an order by order Eurostoxx database spanning over 3 years to analyze the joint dynamics of…

Statistical Finance · Quantitative Finance 2024-05-20 Salma Elomari-Kessab , Guillaume Maitrier , Julius Bonart , Jean-Philippe Bouchaud

In this study, we introduce a physical model inspired by statistical physics for predicting price volatility and expected returns by leveraging Level 3 order book data. By drawing parallels between orders in the limit order book and…

Trading and Market Microstructure · Quantitative Finance 2024-06-26 Haochen Li , Yi Cao , Maria Polukarov , Carmine Ventre

We propose a model for the dynamics of a limit order book in a liquid market where buy and sell orders are submitted at high frequency. We derive a functional central limit theorem for the joint dynamics of the bid and ask queues and show…

Trading and Market Microstructure · Quantitative Finance 2012-03-01 Rama Cont , Adrien De Larrard

Electricity is traded on various markets with different time horizons and regulations. Short-term intraday trading becomes increasingly important due to the higher penetration of renewables. In Germany, the intraday electricity price…

Machine Learning · Computer Science 2023-03-13 Eike Cramer , Dirk Witthaut , Alexander Mitsos , Manuel Dahmen

Coincident Peak (CP) pricing is widely used in U.S. electricity markets to allocate capacity and transmission costs. This paper develops a behavioral game-theoretic framework for CP-driven load shifting that couples a nonlinear…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Qian Zhang , Sadie Zhao , Lucy Diao , Conleigh Byers , Yiling Chen , Derya Cansever , Le Xie

Accurate prediction of electricity prices plays an essential role in the electricity market. To reflect the uncertainty of electricity prices, price intervals are predicted. This paper proposes a novel prediction interval construction…

Machine Learning · Computer Science 2025-01-15 Xin Lu

A micro-scale model is proposed for the evolution of the limit order book. Within this model, the flows of orders (claims) are described by doubly stochastic Poisson processes taking account of the stochastic character of intensities of bid…

Probability · Mathematics 2014-12-09 V. Yu. Korolev , A. V. Chertok , A. Yu. Korchagin , A. I. Zeifman

This study explores the prediction of high-frequency price changes using deep learning models. Although state-of-the-art methods perform well, their complexity impedes the understanding of successful predictions. We found that an…

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

Probabilistic price forecasting has recently gained attention in power trading because decisions based on such predictions can yield significantly higher profits than those made with point forecasts alone. At the same time, methods are…

Statistical Finance · Quantitative Finance 2023-08-30 Weronika Nitka , Rafał Weron