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The properties of q-dependent cross-correlation matrices of stock market have been analyzed by using the random matrix theory and complex network. The correlation structures of the fluctuations at different magnitudes have unique…

Statistical Finance · Quantitative Finance 2018-03-14 Longfeng Zhao , Wei Li , Andrea Fenu , Boris Podobnik , Yougui Wang , H. Eugene Stanley

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 examine volatility of an Indian stock market in terms of aspects like participation, synchronization of stocks and quantification of volatility using the random matrix approach. Volatility pattern of the market is found using the BSE…

Physics and Society · Physics 2008-12-02 V. Kulkarni , N. Deo

Properties of low-variability periods in the time series are analysed. The theoretical approach is used to show the relationship between the multi-scaling of low-variability periods and multi-affinity of the time series. It is shown that…

Statistical Mechanics · Physics 2008-12-02 R. Kitt , J. Kalda

We analyse the dependence of stock return cross-correlations on the sampling frequency of the data known as the Epps effect: For high resolution data the cross-correlations are significantly smaller than their asymptotic value as observed…

Statistical Finance · Quantitative Finance 2009-10-26 Bence Toth , Janos Kertesz

Many data-science applications involve detecting a shared signal between two high-dimensional variables. Using random matrix theory methods, we determine when such signal can be detected and reconstructed from sample correlations, despite…

Disordered Systems and Neural Networks · Physics 2026-04-07 Arabind Swain , Sean Alexander Ridout , Ilya Nemenman

We review some methods recently used in the literature to detect the existence of a certain degree of common behavior of stock returns belonging to the same economic sector. Specifically, we discuss methods based on random matrix theory and…

Physics and Society · Physics 2021-08-25 C. Coronnello , M. Tumminello , F. Lillo , S. Micciche` , R. N. Mantegna

The financial markets are understood as complex dynamical systems whose dynamics is analysed mostly using nonstationary and brief data sets that usually come from stock markets. For such data sets, a reliable method of analysis is based on…

Statistical Finance · Quantitative Finance 2022-11-23 Krishnadas M. , K. P. Harikrishnan , G. Ambika

The concept of multifractality offers a powerful formal tool to filter out multitude of the most relevant characteristics of complex time series. The related studies thus far presented in the scientific literature typically limit themselves…

Statistical Finance · Quantitative Finance 2018-09-25 Stanisław Drożdż , Rafał Kowalski , Paweł Oświȩcimka , Rafał Rak , Robert Gȩbarowski

To investigate the universality of the structure of interactions in different markets, we analyze the cross-correlation matrix C of stock price fluctuations in the National Stock Exchange (NSE) of India. We find that this emerging market…

Statistical Finance · Quantitative Finance 2008-12-02 Raj Kumar Pan , Sitabhra Sinha

An average instantaneous cross-correlation function is introduced to quantify the interaction of the financial market of a specific time. Based on the daily data of the American and Chinese stock markets, memory effect of the average…

Statistical Finance · Quantitative Finance 2015-05-18 Tian Qiu , Guang Chen , Li-Xin Zhong , Xiao-Wei Lei

We analyze the stability of financial investment networks, where financial institutions hold overlapping portfolios of assets. We consider the effect of portfolio diversification and heterogeneous investments using a random matrix dynamical…

Risk Management · Quantitative Finance 2025-02-03 Preben Forer , Barak Budnick , Pierpaolo Vivo , Sabrina Aufiero , Silvia Bartolucci , Fabio Caccioli

A central problem of Quantitative Finance is that of formulating a probabilistic model of the time evolution of asset prices allowing reliable predictions on their future volatility. As in several natural phenomena, the predictions of such…

Statistical Finance · Quantitative Finance 2012-09-25 Fulvio Baldovin , Dario Bovina , Francesco Camana , Attilio L. Stella

Multivariate Distributions are needed to capture the correlation structure of complex systems. In previous works, we developed a Random Matrix Model for such correlated multivariate joint probability density functions that accounts for the…

Statistical Finance · Quantitative Finance 2025-12-02 Anton J. Heckens , Efstratios Manolakis , Cedric Schuhmann , Thomas Guhr

We introduce an innovative framework that leverages advanced big data techniques to analyze dynamic co-movement between stocks and their underlying fundamentals using high-frequency stock market data. Our method identifies leading…

Statistical Finance · Quantitative Finance 2024-11-07 Lyuhong Wang , Jiawei Jiang , Yang Zhao

This paper investigates the time-varying risk-premium relation of the Chinese stock markets within the framework of cross-sectional momentum and contrarian effects by adopting the Capital Asset Pricing Model and the French-Fama three factor…

Statistical Finance · Quantitative Finance 2017-07-19 H. -L. Shi , W. -X. Zhou

Signals coming from multivariate higher order conditional moments as well as the information contained in exogenous covariates, can be effectively exploited by rational investors to allocate their wealth among different risky investment…

Portfolio Management · Quantitative Finance 2016-01-21 Mauro Bernardi , Leopoldo Catania

We exploit a continuous time random walk description of stock prices to obtain a fast and accurate evaluation of their volatility from intraday data. We show that financial markets are usefully described as open physical systems. Indeed we…

Other Condensed Matter · Physics 2008-12-02 Rosario Bartiromo

A statistical physics model for the time evolutions of stock portfolios is proposed. In this model the time series of price changes are coded into the sequences of up and down spins. The Hamiltonian of the system is introduced and is…

Statistical Mechanics · Physics 2008-12-02 Jun-ichi Maskawa

We study the price dynamics of stocks traded in a financial market by considering the statistical properties both of a single time series and of an ensemble of stocks traded simultaneously. We use the $n$ stocks traded in the New York Stock…

Statistical Mechanics · Physics 2009-10-31 Fabrizio Lillo , Rosario N. Mantegna
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