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The scaling properties of the time series of asset prices and trading volumes of stock markets are analysed. It is shown that similarly to the asset prices, the trading volume data obey multi-scaling length-distribution of low-variability…

统计力学 · 物理学 2008-12-02 Robert Kitt , Jaan Kalda

In one-dimensional random walks, the waiting time for each direction transitions is the same, even in the presence of bias, as a consequence of the microscopic-reversibility. We study the symmetry breaking of forward/ backward transition…

统计力学 · 物理学 2020-10-28 Jaeoh Shin , Anatoly B. Kolomeisky

One of the major issues studied in finance that has always intrigued, both scholars and practitioners, and to which no unified theory has yet been discovered, is the reason why prices move over time. Since there are several well-known…

统计金融 · 定量金融 2008-12-02 Sonia R. Bentes , Rui Menezes , Diana A. Mendes

Stock networks, constructed from stock price time series, are a well-established tool for the characterization of complex behavior in stock markets. Following Mantegna's seminal paper, the linear Pearson's correlation coefficient between…

统计金融 · 定量金融 2018-06-27 David Hartman , Jaroslav Hlinka

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

We study the temporal evolution of the market efficiency in the stock markets using the complexity, entropy density, standard deviation, autocorrelation function, and probability distribution of the log return for Standard and Poor's 500…

物理与社会 · 物理学 2008-12-02 Jae-Suk Yang , Wooseop Kwak , Taisei Kaizoji , In-mook Kim

The volatility of financial instruments is rarely constant, and usually varies over time. This creates a phenomenon called volatility clustering, where large price movements on one day are followed by similarly large movements on successive…

统计金融 · 定量金融 2015-05-08 Gordon J. Ross

Empirical evidence is given for a significant difference in the collective trend of the share prices during the stock index rising and falling periods. Data on the Dow Jones Industrial Average and its stock components are studied between…

统计金融 · 定量金融 2011-06-06 Emeric Balogh , Ingve Simonsen , Balint Zs. Nagy , Zoltan Neda

Methods for detecting structural changes, or change points, in time series data are widely used in many fields of science and engineering. This chapter sketches some basic methods for the analysis of structural changes in time series data.…

统计金融 · 定量金融 2018-08-28 Christian Kleiber

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

Inverse statistics in economics is considered. We argue that the natural candidate for such statistics is the investment horizons distribution. This distribution of waiting times needed to achieve a predefined level of return is obtained…

软凝聚态物质 · 物理学 2008-12-02 Mogens H. Jensen , Anders Johansen , Ingve Simonsen

Technical trading represents a class of investment strategies for Financial Markets based on the analysis of trends and recurrent patterns of price time series. According standard economical theories these strategies should not be used…

统计金融 · 定量金融 2011-10-25 Federico Garzarelli , Matthieu Cristelli , Andrea Zaccaria , Luciano Pietronero

We construct a price impact model between stocks in a correlated market. For the price change of a given stock induced by the short-run liquidity of this stock itself and of the information about other stocks, we introduce a self- and a…

交易与市场微观结构 · 定量金融 2019-04-23 Shanshan Wang , Thomas Guhr

Based on the tick-by-tick stock prices from the German and American stock markets, we study the statistical properties of the distribution of the individual stocks and the index returns in highly collective and noisy intervals of trading,…

软凝聚态物质 · 物理学 2015-06-24 J. Kwapien , S. Drozdz , J. Speth

Loss-induced transmission in waveguides, and reversed pump dependence in lasers, are two prominent examples of counter-intuitive effects in non-Hermitian systems with patterned gain and loss. By analyzing the eigenvalue dynamics of complex…

光学 · 物理学 2016-11-03 Alexander Cerjan , Shanhui Fan

An analysis of the stylized facts in financial time series is carried out. We find that, instead of the heavy tails in asset return distributions, the slow decay behaviour in autocorrelation functions of absolute returns is actually…

统计金融 · 定量金融 2015-03-13 Jie-Jun Tseng , Sai-Ping Li

In this article, the long-term behavior of the stock market index of the New York Stock Exchange is studied, for the period 1950 to 2013. Specifically, the CRSP Value-Weighted and CRSP Equal-Weighted index are analyzed in terms of market…

交易与市场微观结构 · 定量金融 2015-10-15 Roberto Ortiz , Mauricio Contreras , Marcelo Villena

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…

无序系统与神经网络 · 物理学 2008-12-02 M. Serva , U. L. Fulco , M. L. Lyra , G. M. Viswanathan

Finding interdependency relations between (possibly multivariate) time series provides valuable knowledge about the processes that generate the signals. Information theory sets a natural framework for non-parametric measures of several…

信息论 · 计算机科学 2016-02-09 German Gomez-Herrero , Wei Wu , Kalle Rutanen , Miguel C. Soriano , Gordon Pipa , Raul Vicente

The correlation matrix is the key element in optimal portfolio allocation and risk management. In particular, the eigenvectors of the correlation matrix corresponding to large eigenvalues can be used to identify the market mode, sectors and…

交易与市场微观结构 · 定量金融 2019-11-05 S. Valeyre , D. S. Grebenkov , S. Aboura