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Recent years have seen an unprecedented rise of the role that technology plays in all aspects of human activities. Unavoidably, technology has heavily entered the Capital Markets trading space, to the extent that all major exchanges are now…

统计金融 · 定量金融 2015-05-05 Lucio Maria Calcagnile , Giacomo Bormetti , Michele Treccani , Stefano Marmi , Fabrizio Lillo

The effect of refractory periods in partial resetting processes is studied. Under Poissonian partial resets, a state variable jumps to a value closer to the origin by a fixed fraction at constant rate, $x\to a x$. Following each reset, a…

统计力学 · 物理学 2024-06-17 Kristian Stølevik Olsen , Hartmut Löwen

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…

统计金融 · 定量金融 2019-07-08 Alexander Haluszczynski , Ingo Laut , Heike Modest , Christoph Räth

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…

统计力学 · 物理学 2007-05-23 Dorina Andru Vangheli , Gheorghe Ardelean

A self-organized model with social percolation process is proposed to describe the propagations of information for different trading ways across a social system and the automatic formation of various groups within market traders. Based on…

统计力学 · 物理学 2009-10-31 Zhi-Feng Huang

This paper develops a two-step estimation methodology, which allows us to apply catastrophe theory to stock market returns with time-varying volatility and model stock market crashes. Utilizing high frequency data, we estimate the daily…

统计金融 · 定量金融 2013-05-23 Jozef Barunik , Jiri Kukacka

Despite its importance to experiments, numerical simulations, and the development of theoretical models, self-averaging in many-body quantum systems out of equilibrium remains underinvestigated. Usually, in the chaotic regime,…

The percolation model of stock market speculation allows an asymmetry (in the return distribution) leading to fast downward crashes and slow upward recovery. We see more small upturns and more intermediate downturns.

统计力学 · 物理学 2009-11-07 Iksoo Chang , Dietrich Stauffer

The transition from arbitrary to chaotic fluctuation properties in quantum systems is studied in a random matrix model. It is assumed that the Hamiltonian can be written as the sum of an arbitrary and a chaos producing part. The Gaussian…

凝聚态物理 · 物理学 2009-10-28 T. Guhr

The relation between disordered and chaotic systems is investigated. It is obtained by identifying the diffusion operator of the disordered systems with the Perron-Frobenius operator in the general case. This association enables us to…

凝聚态物理 · 物理学 2009-10-28 Oded Agam , Boris L. Altshuler , Anton V. Andreev

The problem of non-stationarity in financial markets is discussed and related to the dynamic nature of price volatility. A new measure is proposed for estimation of the current asset volatility. A simple and illustrative explanation is…

统计金融 · 定量金融 2016-09-08 Sergey S. Stepanov

We investigate the daily correlation present among market indices of stock exchanges located all over the world in the time period Jan 1996 - Jul 2009. We discover that the correlation among market indices presents both a fast and a slow…

统计金融 · 定量金融 2011-08-16 Dong-Ming Song , Michele Tumminello , Wei-Xing Zhou , Rosario N. Mantegna

Recurrence entropy $(\cal S)$ is a novel time series complexity quantifier based on recurrence microstates. Here we show that $\mathsf{max}(\cal S)$ is a \textit{parameter-free} quantifier of time correlation of stochastic and chaotic…

数据分析、统计与概率 · 物理学 2020-02-19 Sergio Roberto Lopes , Thiago de Lima Prado , Gilberto Corso , Gustavo Zampier dos Santos Lima , Jurgen Kurths

Financial data has been extensively studied for correlations using Pearson's cross-correlation coefficient {\rho} as the point of departure. We employ an estimator based on recurrence plots --- the Correlation of Probability of Recurrence…

统计金融 · 定量金融 2013-06-05 B. Goswami , G. Ambika , N. Marwan , J. Kurths

We find a remarkable time persistence of various proxies for the kurtosis (p-kurtosis) of the intraday returns distribution for the S&P500 index and this permits a significant measure of their evolution from 1983 to 2004. There appears a…

统计金融 · 定量金融 2011-12-12 M. A. Virasoro

Symmetries play a conspicuous role in the large-scale behavior of critical systems. While in equilibrium they allow to classify asymptotics into different universality classes, out of equilibrium they can emerge, some times unexpectedly, as…

统计力学 · 物理学 2019-04-26 Enrique Rodriguez-Fernandez , Rodolfo Cuerno

Financial stock returns correlations have been studied in the prism of random matrix theory, to distinguish the signal from the "noise". Eigenvalues of the matrix that are above the rescaled Marchenko Pastur distribution can be interpreted…

统计金融 · 定量金融 2025-08-19 Ixandra Achitouv

We study the stochastic structure of cryptocurrency rates of returns as compared to stock returns by focusing on the associated cross-sectional distributions. We build two datasets. The first comprises forty-six major cryptocurrencies, and…

理论经济学 · 经济学 2023-10-10 Emanuele Citera , Francesco De Pretis

This paper proposes the cross-quantilogram to measure the quantile dependence between two time series. We apply it to test the hypothesis that one time series has no directional predictability to another time series. We establish the…

统计理论 · 数学 2018-01-23 Heejoon Han , Oliver Linton , Tatsushi Oka , Yoon-Jae Whang

Skewness and kurtosis are fundamental statistical moments commonly used to quantify asymmetry and tail behavior in probability distributions. Despite their widespread application in statistical mechanics, condensed matter physics, and…

数学物理 · 物理学 2025-06-23 Carlo De Michele , Samuele De Bartolo