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Understanding the statistical properties of recurrence intervals of extreme events is crucial to risk assessment and management of complex systems. The probability distributions and correlations of recurrence intervals for many systems have…

Statistical Finance · Quantitative Finance 2012-05-10 Hao Meng , Fei Ren , Gao-Feng Gu , Xiong Xiong , Yong-Jie Zhang , Wei-Xing Zhou , Wei Zhang

Quantitative understanding of stochastic dynamics in limit order price changes is essential for execution strategy design. We analyze intraday transition dynamics of ask and bid orders across market capitalization tiers using high-frequency…

Statistical Finance · Quantitative Finance 2026-01-09 Salam Rabindrajit Luwang , Kundan Mukhia , Buddha Nath Sharma , Md. Nurujjaman , Anish Rai , Filippo Petroni

Financial markets exhibit an apparent paradox: while directional price movements remain largely unpredictable--consistent with weak-form efficiency--the magnitude of price changes displays systematic structure. Here we demonstrate that…

Trading and Market Microstructure · Quantitative Finance 2025-12-19 Mainak Singha

We study the price dynamics of stocks traded in the NASDAQ market by considering the statistical properties of an ensemble of stocks traded simultaneously. For each trading day of our database, we study the ensemble return distribution by…

Statistical Mechanics · Physics 2009-11-07 Fabrizio Lillo , Rosario N. Mantegna

In the present paper, an empirical study of LIBOR (London Interbank Offered Rate) data is presented. In particular, a data set of interest rates from 1997 to 1999, for two different currencies and various maturities, is analyzed. It turns…

Condensed Matter · Physics 2007-05-23 Tiziana Di Matteo , Enrico Scalas , Marco Airoldi

The probability distribution of log-returns for financial time series, sampled at high frequency, is the basis for any further developments in quantitative finance. In this letter, we present experimental results based on a large set of…

Statistical Finance · Quantitative Finance 2011-10-11 Laurent Schoeffel

Financial trading is at the forefront of time-series analysis, and has grown hand-in-hand with it. The advent of electronic trading has allowed complex machine learning solutions to enter the field of financial trading. Financial markets…

Machine Learning · Computer Science 2020-10-23 Prakhar Ganesh , Puneet Rakheja

We study the non-Markovian random continuous processes described by the Mori-Zwanzig equation. As a starting point, we use the Markovian Gaussian Ornstein-Uhlenbeck process and introduce an integral memory term depending on the past of the…

Statistical Mechanics · Physics 2019-12-04 S. S. Melnyk , V. A. Yampol'skii , O. V. Usatenko

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

A new branch based on Markov processes is developing in the recent literature of financial time series modeling. In this paper, an Indexed Markov Chain has been used to model high frequency price returns of quoted firms. The peculiarity of…

Statistical Finance · Quantitative Finance 2018-02-06 Guglielmo D'Amico , Ada Lika , Filippo Petroni

The aim of this paper is the analysis and selection of stock trading systems that combine different models with data of different nature, such as financial and microeconomic information. Specifically, based on previous work by the authors…

Computational Finance · Quantitative Finance 2025-12-03 Juan C. King , Jose M. Amigo

This article considers a model for alternative processes for securities prices and compares this model with actual return data of several securities. The distributions of returns that appear in the model can be Gaussian as well as…

Adaptation and Self-Organizing Systems · Physics 2008-12-02 Kyrylo Shmatov , Mikhail Smirnov

This paper provides an empirical study explores the application of deep learning algorithms-Multilayer Perceptron (MLP), Convolutional Neural Networks (CNN), Long Short-Term Memory (LSTM), and Transformer-in constructing long-short stock…

Statistical Finance · Quantitative Finance 2024-11-26 Junjie Guo

The application of deep learning models for stock price forecasting in emerging markets remains underexplored despite their potential to capture complex temporal dependencies. This study develops and evaluates a Long Short-Term Memory…

Trading and Market Microstructure · Quantitative Finance 2025-09-19 Ahad Yaqoob , Syed M. Abdullah

The European Power Exchange has introduced day-ahead auctions and continuous trading spot markets to facilitate the insertion of renewable electricity. These markets are designed to balance excess or lack of power in short time periods,…

Statistical Finance · Quantitative Finance 2021-12-08 Leonardo Rydin Gorjão , Dirk Witthaut , Pedro G. Lind , Wided Medjroubi

We consider the problem of dynamic buying and selling of shares from a collection of $N$ stocks with random price fluctuations. To limit investment risk, we place an upper bound on the total number of shares kept at any time. Assuming that…

Portfolio Management · Quantitative Finance 2009-09-23 Michael J. Neely

In finance, the weak form of the Efficient Market Hypothesis asserts that historic stock price and volume data cannot inform predictions of future prices. In this paper we show that, to the contrary, future intra-day stock prices could be…

Trading and Market Microstructure · Quantitative Finance 2019-08-23 David Byrd , Tucker Hybinette Balch

A theory of symbolic dynamic systems with long-range correlations based on the consideration of the binary N-step Markov chains developed earlier in Phys. Rev. Lett. 90, 110601 (2003) is generalized to the biased case (non equal numbers of…

Data Analysis, Statistics and Probability · Physics 2015-06-26 Z. A. Mayzelis , S. S. Apostolov , S. S. Mel'nyk , O. V. Usatenko , V. A. Yampol'skii

Cross-sectional signatures of market panic were recently discussed on daily time scales in [1], extended here to a study of cross-sectional properties of stocks on intra-day time scales. We confirm specific intra-day patterns of dispersion…

Statistical Finance · Quantitative Finance 2010-10-26 Lisa Borland , Yoan Hassid

We present a phenomenological study of stock price fluctuations of individual companies. We systematically analyze two different databases covering securities from the three major US stock markets: (a) the New York Stock Exchange, (b) the…

Statistical Mechanics · Physics 2009-10-31 V. Plerou , P. Gopikrishnan , L. A. N. Amaral , M. Meyer , H. E. Stanley
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