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When common factors strongly influence two power-law cross-correlated time series recorded in complex natural or social systems, using classic detrended cross-correlation analysis (DCCA) without considering these common factors will bias…

Statistical Finance · Quantitative Finance 2015-06-29 Xi-Yuan Qian , Ya-Min Liu , Zhi-Qiang Jiang , Boris Podobnik , Wei-Xing Zhou , H. Eugene Stanley

Social, technological and economic time series are divided by events which are usually assumed to be random albeit with some hierarchical structure. It is well known that the interevent statistics observed in these contexts differs from the…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 J. Perello , J. Masoliver , A. Kasprzak , R. Kutner

We study the temporal fluctuations in time-dependent stock prices (both individual and composite) as a stochastic phenomenon using general techniques and methods of nonequilibrium statistical mechanics. In particular, we analyze stock price…

Physics and Society · Physics 2008-12-02 M. Constantin , S. Das Sarma

The detrended cross-correlation coefficient $\rho_{\rm DCCA}$ has recently been proposed to quantify the strength of cross-correlations on different temporal scales in bivariate, non-stationary time series. It is based on the detrended…

Data Analysis, Statistics and Probability · Physics 2015-12-09 Jaroslaw Kwapien , Pawel Oswiecimka , Stanislaw Drozdz

The presence of multifractality in a time series shows different correlations for different time scales as well as intermittent behaviour that cannot be captured by a single scaling exponent. The identification of a multifractal nature…

Astrophysics of Galaxies · Physics 2018-05-21 A. Bewketu Belete , J. P. Bravo , B. L. Canto Martins , I. C. Leão , J. M. De Araujo , J. R. De Medeiros

Detrended fluctuation analysis (DFA) [1] of the volatility series has been found to be useful in dentifying possible nonlinear/multifractal dynamics in the empirical sample [2-4]. Long-range volatile correlation can be an outcome of static…

Data Analysis, Statistics and Probability · Physics 2009-11-11 Radhakrishnan Nagarajan

Permutation approach is suggested as a method to investigate financial time series in micro scales. The method is used to see how high frequency trading in recent years has affected the micro patterns which may be seen in financial time…

Statistical Finance · Quantitative Finance 2014-08-06 Cina Aghamohammadi , Mehran Ebrahimian , Hamed Tahmooresi

Price without transaction makes no sense. Trading volume authenticates its corresponding price, so there exist mutual information and correlation between price and trading volume. We are curious about fractal features of this correlation…

Computational Finance · Quantitative Finance 2020-08-26 Jamshid Ardalankia , Mohammad Osoolian , Emmanuel Haven , G. Reza Jafari

We investigate the large-fluctuation dynamics in financial markets, based on the minute-to-minute and daily data of the Chinese Indices and German DAX. The dynamic relaxation both before and after the large fluctuations is characterized by…

General Finance · Quantitative Finance 2013-08-21 X. F. Jiang , T. T. Chen , B. Zheng

Using a two-point correlation technique, we study emergence of market efficiency in the emergent Russian futures market by focusing on lagged correlations. The correlation strength of leader-follower effects in the lagged inter-market…

Trading and Market Microstructure · Quantitative Finance 2013-09-17 Mikhail Kopytin , Evgeniy Kazantsev

We present a study on the spatio-temporal pattern underlying the climate dynamics in various locations spread over India, including the Himalayan region, coastal region, central and northeastern parts of India. We try to capture the…

Atmospheric and Oceanic Physics · Physics 2024-01-24 Joshin John Bejoy , Jayesh Dave , G. Ambika

We study the properties of time sequences extracted from a self-organized critical system, within the framework of the mathematical multifractal analysis. To this end, we propose a fixed-mass algorithm, well suited to deal with highly…

Statistical Mechanics · Physics 2009-10-30 Romualdo Pastor-Satorras

We analyze quantitatively the effect of spurious multifractality induced by the presence of fat-tailed symmetric and asymmetric probability distributions of fluctuations in time series. In the presented approach different kinds of symmetric…

Computational Finance · Quantitative Finance 2018-05-31 Rafal Rak , Dariusz Grech

Stride-to-stride fluctuations in human walking carry a fractal correlation structure that reverses sign under external cueing: self-paced gait is persistent, whereas metronomic or visually cued gait is anti-persistent. Three decades of…

Quantitative Methods · Quantitative Biology 2026-05-22 Philippe Terrier

This paper aims to investigate the role of gold as a hedge and/or safe haven against oil price and currency market movements for medium (calm period) and large (extreme movement) fluctuations. In revisiting the role of gold, our study…

Statistical Finance · Quantitative Finance 2020-01-01 Mohamed Arbi Madani , Zied Ftiti

This paper constructs and studies the long-term factorization of affine pricing kernels into discounting at the rate of return on the long bond and the martingale component that accomplishes the change of probability measure to the long…

Mathematical Finance · Quantitative Finance 2017-07-28 Likuan Qin , Vadim Linetsky

One stylized feature of financial volatility impacting the modeling process is long memory. This paper examines long memory for alternative risk measures, observed absolute and squared returns for Daily REITs and compares the findings for a…

Statistical Finance · Quantitative Finance 2011-03-29 John Cotter , Simon Stevenson

This study presents a comprehensive empirical investigation of the presence of long-range dependence (LRD) in the dynamics of major U.S. stock market indexes--S\&P 500, Dow Jones, and Nasdaq--at daily, weekly, and monthly frequencies. We…

Statistical Finance · Quantitative Finance 2025-09-25 Yifan He , Svetlozar Rachev

In this paper we provide a comprehensive analysis of a structural model for the dynamics of prices of assets traded in a market originally proposed in [1]. The model takes the form of an interacting generalization of the geometric Brownian…

Statistical Finance · Quantitative Finance 2018-06-06 Kartik Anand , Jonathan Khedair , Reimer Kuehn

Fractal analysis is carried out on the stock market indices of seven European countries and the US. We find evidence of long range dependence in the log return series of the Mibtel (Italy) and the PX Glob (Czech Republic). Long range…

Statistical Finance · Quantitative Finance 2014-02-07 Enrico Onali , John Goddard
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