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We study the tick dynamical behavior of the yen-dollar exchange rate using the rescaled range analysis in financial market. It is found that the multifractal Hurst exponents with the short and long-run memory effects can be obtained from…

Statistical Mechanics · Physics 2015-06-24 Kyungsik Kim , Seong-Min Yoon , Jum-Soo Choi

We investigate multifractality in the Korean stock-market index KOSPI. The generalized $q$th order height-height correlation function shows multiscaling properties. There are two scaling regimes with a crossover time around $t_c =40$ min.…

Chaotic Dynamics · Physics 2009-11-10 Jae Woo Lee , Kyuoung Eun Lee , Per Arne Rikvold

Detailed study of multifractal characteristics of the financial time series of asset values and of its returns is performed using a collection of the high frequency Deutsche Aktienindex data. The tail index ($\alpha$), the Renyi exponents…

Statistical Mechanics · Physics 2009-11-07 A. Z. Gorski , S. Drozdz , J. Speth

In this paper, we use the generalized Hurst exponent approach to study the multi- scaling behavior of different financial time series. We show that this approach is robust and powerful in detecting different types of multiscaling. We…

Statistical Finance · Quantitative Finance 2012-05-25 Jozef Barunik , Tomaso Aste , Tiziana Di Matteo , Ruipeng Liu

The multifractal structure of the temporal dependence of the Deutsche Aktienindex (DAX) is analyzed. The $q$-th order moments of the structure functions and the singular measures are calculated. The generalized Hurst exponent $H(q)$ and the…

Condensed Matter · Physics 2009-11-07 M. Ausloos , K. Ivanova

We present a systematic study of various statistical characteristics of high-frequency returns from the foreign exchange market. This study is based on six exchange rates forming two triangles: EUR-GBP-USD and GBP-CHF-JPY. It is shown that…

Statistical Finance · Quantitative Finance 2011-05-24 Stanislaw Drozdz , Jaroslaw Kwapien , Pawel Oswiecimka , Rafal Rak

We analyze the multifractal spectra of daily foreign exchange rates for Japan, Hong-Kong, Korea, and Thailand with respect to the United States Dollar from 1991 to 2005. We find that the return time series show multifractal spectrum…

Statistical Finance · Quantitative Finance 2019-07-10 Gabjin Oh , Cheoljun Eom , Shlomo Havlin , Woo-Sung Jung , Fengzhong Wang , H. Eugene Stanley , Seunghwan Kim

By adopting Multifractal detrended fluctuation (MF-DFA) analysis methods, the multifractal nature is revealed in the high-frequency data of two typical indexes, the Shanghai Stock Exchange Composite 180 Index (SH180) and the Shenzhen Stock…

Statistical Finance · Quantitative Finance 2018-06-21 Xin-Lan Fu , Xing-Lu Gao , Zheng Shan , Zhi-Qiang Jiang , Wei-Xing Zhou

The herd behaviors of returns for the won-dollar exchange rate and the KOSPI are analyzed in Korean financial markets. It is shown that the probability distribution $P(R)$ of price returns $R$ for three values of the herding parameter tends…

Statistical Mechanics · Physics 2009-11-10 Kyungsik Kim , Seong-Min Yoon , Yup Kim

By applying the multifractal detrended fluctuation analysis to the high-frequency tick-by-tick data from Deutsche B\"orse both in the price and in the time domains, we investigate multifractal properties of the time series of logarithmic…

Other Condensed Matter · Physics 2009-11-10 P. Oswiecimka , J. Kwapien , S. Drozdz

The performance of the multifractal detrended analysis on short time series is evaluated for synthetic samples of several mono- and multifractal models. The reconstruction of the generalized Hurst exponents is used to determine the range of…

Data Analysis, Statistics and Probability · Physics 2013-11-12 Juan Luis Lopez , Jesus Guillermo Contreras

The scaling behavior of the mutifractality for the sea-bottom topography of the South Sea in Korea is numerically investigated. In particular, we focus on the behavior of the $q$th-moment depth-depth correlation function of the sea-bottom…

Statistical Mechanics · Physics 2007-05-23 Kyungsik Kim , Y. S. Kong

The miltifractal properties and scaling behaviour of the exchange rate variations of the Iranian rial against the US dollar from a daily perspective is numerically investigated. For this purpose the multifractal detrended fluctuation…

Data Analysis, Statistics and Probability · Physics 2009-11-11 P. Norouzzadeh

We provide an alternative method for analysis of multifractal properties of time series. The new approach takes into account the behaviour of the whole multifractal profile of the generalized Hurst exponent $h(q)$ for all moment orders $q$,…

Statistical Finance · Quantitative Finance 2013-09-24 Dariusz Grech , Grzegorz Pamuła

We analyzed multifractal properties of 5-minute stock returns from a period of over two years for 100 highly capitalized American companies. The two sources: fat-tailed probability distributions and nonlinear temporal correlations, vitally…

Other Condensed Matter · Physics 2009-11-10 J. Kwapien , P. Oswiecimka , S. Drozdz

We consider the structure functions S^(q)(T), i.e. the moments of order q of the increments X(t+T)-X(t) of the Foreign Exchange rate X(t) which give clear evidence of scaling (S^(q)(T)~T^z(q)). We demonstrate that the nonlinearity of the…

Statistical Mechanics · Physics 2008-12-02 F. Schmitt , D. Schertzer , S. Lovejoy

The scaling properties encompass in a simple analysis many of the volatility characteristics of financial markets. That is why we use them to probe the different degree of markets development. We empirically study the scaling properties of…

Statistical Mechanics · Physics 2008-12-02 T. Di Matteo , T. Aste , M. M. Dacorogna

We give a stochastic microscopic modelling of stock markets driven by continuous double auction. If we take into account the mimetic behavior of traders, when they place limit order, our virtual markets shows the power-law tail of the…

Computational Physics · Physics 2009-11-13 Jun-ichi Maskawa

We empirically analyze the scaling properties of daily Foreign Exchange rates, Stock Market indices and Bond futures across different financial markets. We study the scaling behaviour of the time series by using a generalized Hurst exponent…

Statistical Mechanics · Physics 2008-12-02 T. Di Matteo , T. Aste , M. M. Dacorogna

We have performed detailed multifractal analysis on the minutely volatility of two indexes and 1139 stocks in the Chinese stock markets based on the partition function approach. The partition function $\chi_q(s)$ scales as a power law with…

Statistical Finance · Quantitative Finance 2008-12-02 Zhi-Qiang Jiang , Wei-Xing Zhou
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