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We perform a comparative analysis of the Chinese stock market around the occurrence of the 2008 crisis based on the random matrix analysis of high-frequency stock returns of 1228 stocks listed on the Shanghai and Shenzhen stock exchanges.…

Statistical Finance · Quantitative Finance 2017-04-19 Rui-Qi Han , Wen-Jie Xie , Xiong Xiong , Wei Zhang , Wei-Xing Zhou

We review the state of the art of clustering financial time series and the study of their correlations alongside other interaction networks. The aim of this review is to gather in one place the relevant material from different fields, e.g.…

Statistical Finance · Quantitative Finance 2021-04-14 Gautier Marti , Frank Nielsen , Mikołaj Bińkowski , Philippe Donnat

The detection of community structure in stock market is of theoretical and practical significance for the study of financial dynamics and portfolio risk estimation. We here study the community structures in Chinese stock markets from the…

Statistical Finance · Quantitative Finance 2017-08-02 Li-Ling Su , Xiong-Fei Jiang , Sai-Ping Li , Li-Xin Zhong , Fei Ren

We show that recent stock market fluctuations are characterized by the cumulative distributions whose tails on short, minute time scales exhibit power scaling with the scaling index alpha > 3 and this index tends to increase quickly with…

Statistical Finance · Quantitative Finance 2009-11-13 S. Drozdz , M. Forczek , J. Kwapien , P. Oswiecimka , R. Rak

It is commonly believed that the correlations between stock returns increase in high volatility periods. We investigate how much of these correlations can be explained within a simple non-Gaussian one-factor description with time…

Disordered Systems and Neural Networks · Physics 2008-12-02 Pierre Cizeau , Marc Potters , Jean-Philippe Bouchaud

This note outlines a method for clustering time series based on a statistical model in which volatility shifts at unobserved change-points. The model accommodates some classical stylized features of returns and its relation to GARCH is…

Methodology · Statistics 2019-06-26 Nick Whiteley

The dynamics of prices in financial markets has been studied intensively both experimentally (data analysis) and theoretically (models). Nevertheless, a complete stochastic characterization of volatility is still lacking. What it is well…

Statistical Mechanics · Physics 2009-10-31 Michele Pasquini , Maurizio Serva

We investigate the general problem of how to model the kinematics of stock prices without considering the dynamical causes of motion. We propose a stochastic process with long-range correlated absolute returns. We find that the model is…

Disordered Systems and Neural Networks · Physics 2008-12-02 M. Serva , U. L. Fulco , M. L. Lyra , G. M. Viswanathan

Summarized by the efficient market hypothesis, the idea that stock prices fully reflect all available information is always confronted with the behavior of real-world markets. While there is plenty of evidence indicating and quantifying the…

Physics and Society · Physics 2020-12-16 Luiz G. A. Alves , Higor Y. D. Sigaki , Matjaz Perc , Haroldo V. Ribeiro

Long memory and volatility clustering are two stylized facts frequently related to financial markets. Traditionally, these phenomena have been studied based on conditionally heteroscedastic models like ARCH, GARCH, IGARCH and FIGARCH, inter…

Statistical Finance · Quantitative Finance 2009-11-13 Sonia R. Bentes , Rui Menezes , Diana A. Mendes

The time proximity of trades across stocks reveals interesting topological structures of the equity market in the United States. In this article, we investigate how such concurrent cross-stock trading behaviors, which we denote as…

Trading and Market Microstructure · Quantitative Finance 2024-05-14 Yutong Lu , Gesine Reinert , Mihai Cucuringu

The cross-correlation matrix of daily returns of stock market indices in a diverse set of 37 countries worldwide was analyzed. Comparison of the spectrum of this matrix with predictions of random matrix theory provides an empirical evidence…

Statistical Mechanics · Physics 2009-11-07 Sergei Maslov

The financial industry poses great challenges with risk modeling and profit generation. These entities are intricately tied to the sophisticated prediction of stock movements. A stock forecaster must untangle the randomness and…

Statistical Finance · Quantitative Finance 2023-09-14 Luke Sanborn , Matthew Sahagun

We study the time dependence of maximal spanning trees and asset graphs based on correlation matrices of stock returns. In these networks the nodes represent companies and links are related to the correlation coefficients between them.…

Physics and Society · Physics 2009-11-13 Tapio Heimo , Kimmo Kaski , Jari Saramaki

In this paper, we study the connection between the companies in the Swedish capital market. We consider 28 companies included in the determination of the market index OMX30. The network structure of the market is constructed using different…

Statistical Finance · Quantitative Finance 2022-11-01 Elena Farahbakhsh Touli , Hoang Nguyen , Olha Bodnar

Distance correlation coefficient (DCC) can be used to identify new associations and correlations between multiple variables. The distance correlation coefficient applies to variables of any dimension, can be used to determine smaller sets…

Statistical Finance · Quantitative Finance 2023-01-13 J. E. Salgado-Hernández , Manan Vyas

We analyse the structure of the distribution of eigenvalues of the stock market correlation matrix with increasing length of the time series representing the price changes. We use 100 highly-capitalized stocks from the American market and…

Physics and Society · Physics 2009-11-11 J. Kwapien , P. Oswiecimka , S. Drozdz

By incorporating market impact and asymmetric sensitivity into the evolutionary minority game, we study the coevolutionary dynamics of stock prices and investment strategies in financial markets. Both the stock price movement and the…

Trading and Market Microstructure · Quantitative Finance 2015-06-11 Li-Xin Zhong , Wen-Juan Xu , Fei Ren , Yong-Dong Shi

Correlation matrices inferred from stock return time series contain information on the behaviour of the market, especially on clusters of highly correlating stocks. Here we study a subset of New York Stock Exchange (NYSE) traded stocks and…

Physics and Society · Physics 2009-11-13 Tapio Heimo , Jari Saramaki , Jukka-Pekka Onnela , Kimmo Kaski

Fat tails in financial time series and increase of stocks cross-correlations in high volatility periods are puzzling facts that ask for new paradigms. Both points are of key importance in fundamental research as well as in Risk Management…

Statistical Mechanics · Physics 2008-12-02 Marco Airoldi