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Using the correlation matrix formalism we study the temporal aspects of the Warsaw Stock Market evolution as represented by the WIG20 index. The high frequency (1 min) WIG20 recordings over the time period between January 2001 and October…

Data Analysis, Statistics and Probability · Physics 2008-12-02 R. Rak , S. Drozdz , J. Kwapien , P. Oswiecimka

The financial market is a complex dynamical system composed of a large variety of intricate relationships between several entities, such as banks, corporations and institutions. At the heart of the system lies the stock exchange mechanism,…

A spin model is used for simulations of financial markets. To determine return volatility in the spin financial market we use the GARCH model often used for volatility estimation in empirical finance. We apply the Bayesian inference…

Computational Finance · Quantitative Finance 2016-11-28 Tetsuya Takaishi

The estimation of asset return distributions is crucial for determining optimal trading strategies. In this paper we describe the constrained mixture model, based on a mixture of Gamma and Gaussian distributions, to provide an accurate…

Machine Learning · Statistics 2011-03-15 Iead Rezek

The analysis of the intraday dynamics of correlations among high-frequency returns is challenging due to the presence of asynchronous trading and market microstructure noise. Both effects may lead to significant data reduction and may…

Trading and Market Microstructure · Quantitative Finance 2019-03-06 Giuseppe Buccheri , Giacomo Bormetti , Fulvio Corsi , Fabrizio Lillo

We describe a procedure to perform approximate inference on the achieved signal-noise ratio of the Markowitz Portfolio under Gaussian i.i.d. returns. The procedure relies on a statistic similar to the Sharpe Ratio Information Criterion.…

Methodology · Statistics 2020-05-19 Steven E. Pav

Financial markets, being spectacular examples of complex systems, display rich correlation structures among price returns of different assets. The correlation structures change drastically, akin to phase transitions in physical phenomena,…

Statistical Finance · Quantitative Finance 2020-07-23 Anirban Chakraborti , Hrishidev , Kiran Sharma , Hirdesh K. Pharasi

We model financial transactions as random walks on activity-driven temporal networks. By enforcing fund conservation, our framework analytically derives heavy-tailed distributions for the stationary balances and transaction sizes.…

Physics and Society · Physics 2026-02-25 Carolina E. Mattsson , Claudio Cellerini , Jaume Ojer , Michele Starnini

This paper describes the dependence of market-based statistical moments of returns on statistical moments and correlations of the current and past trade values. We use Markowitz's definition of value weighted return of a portfolio as the…

General Economics · Economics 2026-02-17 Victor Olkhov

Pearson correlation and mutual information based complex networks of the day-to-day returns of US S&P500 stocks between 1985 and 2015 have been constructed in order to investigate the mutual dependencies of the stocks and their nature. We…

Statistical Finance · Quantitative Finance 2019-07-08 Alexander Haluszczynski , Ingo Laut , Heike Modest , Christoph Räth

We compare correlations and coherent structures in nuclei and financial markets. In the nuclear physics part we review giant resonances which can be interpreted as a coherent structure embedded in chaos. With similar methods we investigate…

Statistical Finance · Quantitative Finance 2015-05-14 J. Speth , S. Drozdz , F. Gruemmer

We demonstrate the existence of an empirical linkage between the nominal financial networks and the underlying economic fundamentals across countries. We construct the nominal return correlation networks from daily data to encapsulate…

General Finance · Quantitative Finance 2017-01-03 Kiran Sharma , Balagopal Gopalakrishnan , Anindya S. Chakrabarti , Anirban Chakraborti

On a periodic basis, publicly traded companies are required to report fundamentals: financial data such as revenue, operating income, debt, among others. These data points provide some insight into the financial health of a company.…

Machine Learning · Statistics 2018-04-27 John Alberg , Zachary C. Lipton

Financial markets are interconnected, with micro-currents propagating across global markets and shaping economic trends. This paper moves beyond traditional stock market indices to examine cross-sectional return distributions-15 in our…

General Economics · Economics 2025-11-27 Ping Wu , Dan Zhu

This work introduces a new framework for modeling financial markets through an interpretable probabilistic state machine. By clustering historical returns based on momentum and risk features across multiple time horizons, we identify…

Computational Engineering, Finance, and Science · Computer Science 2025-10-02 Christian Oliva , Silviu Gabriel Tinjala

The price clustering phenomenon manifesting itself as an increased occurrence of specific prices is widely observed and well-documented for various financial instruments and markets. In the literature, however, it is rarely incorporated…

Statistical Finance · Quantitative Finance 2022-11-23 Vladimír Holý , Petra Tomanová

We quantify the amount of information filtered by different hierarchical clustering methods on correlations between stock returns comparing it with the underlying industrial activity structure. Specifically, we apply, for the first time to…

Statistical Finance · Quantitative Finance 2023-07-19 Nicolo Musmeci , Tomaso Aste , Tiziana Di Matteo

We show that financial correlations exhibit a non-trivial dynamic behavior. We introduce a simple phenomenological model of a multi-asset financial market, which takes into account the impact of portfolio investment on price dynamics. This…

Physics and Society · Physics 2009-11-11 Giacomo Raffaelli , Matteo Marsili

We present an empirical study of the subordination hypothesis for a stochastic time series of a stock price. The fluctuating rate of trading is identified with the stochastic variance of the stock price, as in the continuous-time random…

Physics and Society · Physics 2008-12-02 A. Christian Silva , Victor M. Yakovenko

Neural networks have revolutionized many empirical fields, yet their application to financial time series forecasting remains controversial. In this study, we demonstrate that the conventional practice of estimating models locally in…

Econometrics · Economics 2025-02-21 Chen Liu , Minh-Ngoc Tran , Chao Wang , Richard Gerlach , Robert Kohn