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We investigate the probability distribution of the volatility return intervals $\tau$ for the Chinese stock market. We rescale both the probability distribution $P_{q}(\tau)$ and the volatility return intervals $\tau$ as…

统计金融 · 定量金融 2009-11-13 Tian Qiu , Liang Guo , Guang Chen

We study the return interval $\tau$ between price volatilities that are above a certain threshold $q$ for 31 intraday datasets, including the Standard & Poor's 500 index and the 30 stocks that form the Dow Jones Industrial index. For…

物理与社会 · 物理学 2008-12-02 Fengzhong Wang , Kazuko Yamasaki , Shlomo Havlin , H. Eugene Stanley

We study the daily trading volume volatility of 17,197 stocks in the U.S. stock markets during the period 1989--2008 and analyze the time return intervals $\tau$ between volume volatilities above a given threshold q. For different…

交易与市场微观结构 · 定量金融 2015-05-28 Wei Li , Fengzhong Wang , Shlomo Havlin , H. Eugene Stanley

We investigate scaling and memory effects in return intervals between price volatilities above a certain threshold $q$ for the Japanese stock market using daily and intraday data sets. We find that the distribution of return intervals can…

统计金融 · 定量金融 2009-11-13 Woo-Sung Jung , Fengzhong Wang , Shlomo Havlin , Taisei Kaizoji , Hie-Tae Moon , H. Eugene Stanley

We study the statistical properties of return intervals $r$ between successive energy dissipation rates above a certain threshold $Q$ in three-dimensional fully developed turbulence. We find that the distribution function $P_Q(r)$ scales…

流体动力学 · 物理学 2009-10-07 Chuang Liu , Zhi-Qiang Jiang , Fei Ren , Wei-Xing Zhou

We investigate the probability distributions of the recurrence intervals $\tau$ between consecutive 1-min returns above a positive threshold $q>0$ or below a negative threshold $q<0$ of two indices and 20 individual stocks in China's stock…

统计金融 · 定量金融 2010-08-03 Fei Ren , Wei-Xing Zhou

We study the scaling of fluctuations with the mean of traffic in complex networks using a model where the arrival and departure of "packets" follow exponential distributions, and the processing capability of nodes is either unlimited or…

物理与社会 · 物理学 2009-11-11 Jordi Duch , Alex Arenas

In this paper we show that the Internet web, from a user's perspective, manifests robust scaling properties of the type $P(n)\propto n^{-\tau}$ where n is the size of the basin connected to a given point, $P$ represents the density of…

统计力学 · 物理学 2009-10-31 G. Caldarelli , R. Marchetti , L. Pietronero

We study the statistical properties of the recurrence intervals $\tau$ between successive trading volumes exceeding a certain threshold $q$. The recurrence interval analysis is carried out for the 20 liquid Chinese stocks covering a period…

统计金融 · 定量金融 2010-07-08 Fei Ren , Wei-Xing Zhou

The statistical properties of the return intervals $\tau_q$ between successive 1-min volatilities of 30 liquid Chinese stocks exceeding a certain threshold $q$ are carefully studied. The Kolmogorov-Smirnov (KS) test shows that 12 stocks…

统计金融 · 定量金融 2009-01-09 Fei Ren , Liang Guo , Wei-Xing Zhou

We study the fluctuation properties and return-time statistics on inhomogeneous scale-free networks using packets moving with two different dynamical rules; random diffusion and locally navigated diffusive motion with preferred edges.…

材料科学 · 物理学 2008-02-25 Bernard Kujawski , Bosiljka Tadic , Geoff J. Rodgers

The scaling behavior of fluctuation for a download network which we have investigated a few years ago based upon Zhang's Encophysics web page has been presented. A power law scaling, namely $\sigma \sim < f> ^ \alpha $ exists between the…

物理与社会 · 物理学 2008-11-26 D. D. Han , J. G. Liu , Y. G. Ma

In the study of complex networks (systems), the scaling phenomenon of flow fluctuations refers to a certain power-law between the mean flux (activity) $<F_i>$ of the $i$th node and its variance $\sigma_i$ as $\sigma_i \propto < F_{i} >…

数据分析、统计与概率 · 物理学 2009-05-08 Yudong Chen , Li Li , Yi Zhang , Jianming Hu

Fluctuation scaling has been observed universally in a wide variety of phenomena. In time series that describe sequences of events, fluctuation scaling is expressed as power function relationships between the mean and variance of either…

数据分析、统计与概率 · 物理学 2015-11-03 Shinsuke Koyama , Ryota Kobayashi

The distribution of the return intervals $\tau$ between volatilities above a threshold $q$ for financial records has been approximated by a scaling behavior. To explore how accurate is the scaling and therefore understand the underlined…

统计金融 · 定量金融 2009-06-02 Fengzhong Wang , Kazuko Yamasaki , Shlomo Havlin , H. Eugene Stanley

In the mid-90's, it was shown that the statistics of aggregated time series from Internet traffic departed from those of traditional short range dependent models, and were instead characterized by asymptotic self-similarity. Following this…

网络与互联网体系结构 · 计算机科学 2017-03-07 Romain Fontugne , Patrice Abry , Kensuke Fukuda , Darryl Veitch , Kenjiro Cho , Pierre Borgnat , Herwig Wendt

Long-range correlations manifested as power spectral density scaling $1/f^\beta$ for frequency $f$ and a range of exponents $\beta$ are investigated for a superposition of uncorrelated pulses with distributed durations $\tau$. Closed-form…

统计力学 · 物理学 2025-03-03 M. A. Korzeniowska , O. E. Garcia

We consider renewal processes where events, which can for instance be the zero crossings of a stochastic process, occur at random epochs of time. The intervals of time between events, $\tau_{1},\tau_{2},...$, are independent and identically…

统计力学 · 物理学 2015-03-20 Claude Godreche , Satya N. Majumdar , Gregory Schehr

We present results of the numerical simulations and the scaling characteristics of one-dimensional random fluctuations with heavy tailed probability distribution functions. Assuming that the distribution function of the random fluctuations…

统计力学 · 物理学 2017-08-16 Mohsen Ghasemi Nezhadhaghighi

We study the volatility time series of 1137 most traded stocks in the US stock markets for the two-year period 2001-02 and analyze their return intervals $\tau$, which are time intervals between volatilities above a given threshold $q$. We…

统计金融 · 定量金融 2009-03-05 Fengzhong Wang , Kazuko Yamasaki , Shlomo Havlin , H. Eugene Stanley
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