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The econophysics approach to socio-economic systems is based on the assumption of their complexity. Such assumption inevitably lead to another assumption, namely that underlying interconnections within socio-economic systems, particularly…

Statistical Finance · Quantitative Finance 2023-07-19 Paweł Fiedor

The presence of significant cross-correlations between the synchronous time evolution of a pair of equity returns is a well-known empirical fact. The Pearson correlation is commonly used to indicate the level of similarity in the price…

Statistical Finance · Quantitative Finance 2014-02-07 Dror Y. Kenett , Xuqing Huang , Irena Vodenska , Shlomo Havlin , H. Eugene Stanley

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

A stock market is considered as one of the highly complex systems, which consists of many components whose prices move up and down without having a clear pattern. The complex nature of a stock market challenges us on making a reliable…

Social and Information Networks · Computer Science 2019-09-27 Minjun Kim , Hiroki Sayama

The gain-loss asymmetry, observed in the inverse statistics of stock indices is present for logarithmic return levels that are over $2\%$, and it is the result of the non-Pearson type auto-correlations in the index. These non-Pearson type…

Statistical Finance · Quantitative Finance 2016-08-24 Bulcsú Sándor , Ingve Simonsen , Bálint Zsolt Nagy , Zoltán Néda

This paper presents a novel dynamic network autoregressive conditional heteroscedasticity (ARCH) model based on spatiotemporal ARCH models to forecast volatility in the US stock market. To improve the forecasting accuracy, the model…

Applications · Statistics 2023-03-21 Raffaele Mattera , Philipp Otto

In this study, we have investigated factors of determination which can affect the connected structure of a stock network. The representative index for topological properties of a stock network is the number of links with other stocks. We…

Statistical Finance · Quantitative Finance 2015-05-13 Cheoljun Eom , Gabjin Oh , Seunghwan Kim

Forecasting future stock trends remains challenging for academia and industry due to stochastic inter-stock dynamics and hierarchical intra-stock dynamics influencing stock prices. In recent years, graph neural networks have achieved…

Machine Learning · Computer Science 2024-03-05 Zinuo You , Zijian Shi , Hongbo Bo , John Cartlidge , Li Zhang , Yan Ge

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

This paper is concerned with the estimation of time-varying networks for high-dimensional nonstationary time series. Two types of dynamic behaviors are considered: structural breaks (i.e., abrupt change points) and smooth changes. To…

Statistics Theory · Mathematics 2020-02-19 Mengyu Xu , Xiaohui Chen , Wei Biao Wu

We analyze the spectral properties of correlation matrices between distinct statistical systems. Such matrices are intrinsically non symmetric, and lend themselves to extend the spectral analyses usually performed on standard Pearson…

Statistical Finance · Quantitative Finance 2012-06-29 Giacomo Livan , Luca Rebecchi

The complexity of financial markets arise from the strategic interactions among agents trading stocks, which manifest in the form of vibrant correlation patterns among stock prices. Over the past few decades, complex financial markets have…

Statistical Finance · Quantitative Finance 2021-02-02 Areejit Samal , Hirdesh K. Pharasi , Sarath Jyotsna Ramaia , Harish Kannan , Emil Saucan , Jürgen Jost , Anirban Chakraborti

We review the recent approach of correlation based networks of financial equities. We investigate portfolio of stocks at different time horizons, financial indices and volatility time series and we show that meaningful economic information…

Statistical Mechanics · Physics 2009-11-10 G. Bonanno , G. Caldarelli , F. Lillo , S. Micciche` , N. Vandewalle , R. N. Mantegna

Recently the interest of researchers has shifted from the analysis of synchronous relationships of financial instruments to the analysis of more meaningful asynchronous relationships. Both of those analyses are concentrated only on…

Statistical Finance · Quantitative Finance 2014-06-18 Paweł Fiedor

This paper highlights the significance of mesoscale structures, particularly the core-periphery structure, in financial networks for portfolio optimization. We build portfolios of stocks belonging to the periphery part of the Planar…

Statistical Finance · Quantitative Finance 2024-05-24 Imran Ansari , Charu Sharma , Akshay Agrawal , Niteesh Sahni

An empirical algorithm is used here to study the stochastic and multifractal nature of nonlinear time series. A parameter can be defined to quantitatively measure the deviation of the time series from a Wiener process so that the…

Statistical Finance · Quantitative Finance 2014-01-08 Chih-Hao Lin , Chia-Seng Chang , Sai-Ping Li

A financial system contains many elements networked by their relationships. Extensive works show that topological structure of the network stores rich information on evolutionary behaviors of the system such as early warning signals of…

Statistical Finance · Quantitative Finance 2018-05-09 Li Zhou , Lu Qiu , Changgui Gu , Huijie Yang

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

Investigation of the market graph attracts a growing attention in market network analysis. One of the important problem connected with market graph is to identify it from observations. Traditional way for the market graph identification is…

Computational Finance · Quantitative Finance 2015-12-22 V. A. Kalyagin , P. A. Koldanov , P. M. Pardalos

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