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Entropy measures in their various incarnations play an important role in the study of stochastic time series providing important insights into both the correlative and the causative structure of the stochastic relationships between the…

Statistical Finance · Quantitative Finance 2018-11-22 Michael S. Harre

When assets are correlated, benefits of investment diversification are reduced. To measure the influence of correlations on investment performance, a new quantity - the effective portfolio size - is proposed and investigated in both…

Portfolio Management · Quantitative Finance 2009-04-16 Matus Medo , Chi Ho Yeung , Yi-Cheng Zhang

A prescription is presented for a new and practical correlation coefficient, $\phi_K$, based on several refinements to Pearson's hypothesis test of independence of two variables. The combined features of $\phi_K$ form an advantage over…

Methodology · Statistics 2019-03-12 M. Baak , R. Koopman , H. Snoek , S. Klous

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 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 study aims to explore the strength of causal relationship between stock price search interest and real stock market outcomes on worldwide equity market indices. Such a phenomenon could also be mediated by investor behavior and extent of…

General Finance · Quantitative Finance 2018-04-06 Arjun R , Suprabha KR

In this article we review several techniques to extract information from stock market data. We discuss recurrence analysis of time series, decomposition of aggregate correlation matrices to study co-movements in financial data, stock level…

General Finance · Quantitative Finance 2016-07-20 Kiran Sharma , Shreyansh Shah , Anindya S. Chakrabarti , 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

We analyze correlations among stock returns via a series of widely adopted parameters which we refer to as explanatory variables. We subsequently exploit the results to propose a long only quantitative adaptive technique to construct a…

Statistical Finance · Quantitative Finance 2018-09-20 Ludovico Latmiral

Not a matter of serious contention, Pearson's correlation coefficient is still the most important statistical association measure. Restricted to just two variables, this measure sometimes doesn't live up to users' needs and expectations.…

Mathematical Finance · Quantitative Finance 2024-02-02 Reza Salimi , Kamran Pakizeh

We show that results from the theory of random matrices are potentially of great interest to understand the statistical structure of the empirical correlation matrices appearing in the study of price fluctuations. The central result of the…

Condensed Matter · Physics 2009-10-31 Laurent Laloux , Pierre Cizeau , Jean-Philippe Bouchaud , Marc Potters

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

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

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

A good deal of science and technology concepts and methods rely on comparing and relating entities in quantitative terms. Among the several possible approaches, similarity indices allow some interesting features, especially the ability to…

Physics and Society · Physics 2024-10-24 Alexandre Benatti , Luciano da F. Costa

Public finances are one of the fundamental mechanisms of economic governance that refer to the financial activities and decisions made by government entities to fund public services, projects, and operations through assets. In today's…

General Finance · Quantitative Finance 2024-03-29 Kapil Panda

We use Fourier analysis to access risk in financial products. With it we analyze price changes of e.g. stocks. Via Fourier analysis we scrutinize quantitatively whether the frequency of change is higher than a change in (conserved) company…

Statistical Finance · Quantitative Finance 2024-08-21 Michael Grabinski , Galiya Klinkova

The idea of spatial crosscorrelation was conceived of long ago. However, unlike the related spatial autocorrelation, the theory and method of spatial crosscorrelation analysis have remained undeveloped. This paper presents a set of models…

Physics and Society · Physics 2018-12-19 Yanguang Chen

In this paper, we present the possibility of using the Ising like models to explain by Statistical Physics means the connection between the financial discontinuities (herd behavior, bubbles, crashes) and "critical points" in physical of…

Statistical Mechanics · Physics 2007-05-23 Dorina Andru Vangheli , Gheorghe Ardelean

The understanding of complex systems has become a central issue because complex systems exist in a wide range of scientific disciplines. Time series are typical experimental results we have about complex systems. In the analysis of such…

Statistical Finance · Quantitative Finance 2012-02-09 Michael C. Münnix , Takashi Shimada , Rudi Schäfer , Francois Leyvraz Thomas H. Seligman , Thomas Guhr , H. E. Stanley
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