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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…

Statistical Finance · Quantitative Finance 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…

Statistical Finance · Quantitative Finance 2009-01-09 Fei Ren , Liang Guo , Wei-Xing Zhou

We investigate the probability distribution of the return intervals $\tau$ between successive 1-min volatilities of two Chinese indices exceeding a certain threshold $q$. The Kolmogorov-Smirnov (KS) tests show that the two indices exhibit…

Statistical Finance · Quantitative Finance 2008-12-27 Fei Ren , Wei-Xing Zhou

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…

Statistical Finance · Quantitative Finance 2009-11-13 Tian Qiu , Liang Guo , Guang Chen

Being able to forcast extreme volatility is a central issue in financial risk management. We present a large volatility predicting method based on the distribution of recurrence intervals between volatilities exceeding a certain threshold…

Statistical Finance · Quantitative Finance 2016-10-05 Zhi-Qiang Jiang , Askery A. Canabarro , Boris Podobnik , H. Eugene Stanley , Wei-Xing Zhou

Being able to predict the occurrence of extreme returns is important in financial risk management. Using the distribution of recurrence intervals---the waiting time between consecutive extremes---we show that these extreme returns are…

Statistical Finance · Quantitative Finance 2018-02-27 Zhi-Qiang Jiang , Gang-Jin Wang , Askery Canabarro , Boris Podobnik , Chi Xie , H. Eugene Stanley , Wei-Xing Zhou

Energy markets and the associated energy futures markets play a crucial role in global economies. We investigate the statistical properties of the recurrence intervals of daily volatility time series of four NYMEX energy futures, which are…

Statistical Finance · Quantitative Finance 2013-12-31 Wen-Jie Xie , Zhi-Qiang Jiang , Wei-Xing Zhou

We perform return interval analysis of 1-min {\em{realized volatility}} defined by the sum of absolute high-frequency intraday returns for the Shanghai Stock Exchange Composite Index (SSEC) and 22 constituent stocks of SSEC. The scaling…

Statistical Finance · Quantitative Finance 2009-09-11 Fei Ren , Gao-Feng Gu , Wei-Xing Zhou

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…

Physics and Society · Physics 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…

Trading and Market Microstructure · Quantitative Finance 2015-05-28 Wei Li , Fengzhong Wang , Shlomo Havlin , H. Eugene Stanley

By studying the statistics of recurrence intervals, $\tau$, between volatilities of Internet traffic rate changes exceeding a certain threshold $q$, we find that the probability distribution functions, $P_{q}(\tau)$, for both byte and…

Data Analysis, Statistics and Probability · Physics 2009-10-01 Shi-Min Cai , Zhong-Qian Fu , Tao Zhou , Jun Gu , Pei-Ling Zhou

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…

Statistical Finance · Quantitative Finance 2009-11-13 Woo-Sung Jung , Fengzhong Wang , Shlomo Havlin , Taisei Kaizoji , Hie-Tae Moon , H. Eugene Stanley

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…

Statistical Finance · Quantitative Finance 2009-03-05 Fengzhong Wang , Kazuko Yamasaki , Shlomo Havlin , H. Eugene Stanley

This paper systematically conducts an analysis of the composite index 1-min datasets over the 17-year period (2005-2021) for both the Shanghai and Shenzhen stock exchanges. To reveal the difference between the Chinese and the mature stock…

Statistical Finance · Quantitative Finance 2023-11-27 Peng Liu , Yanyan Zheng

We consider the tail probabilities of stock returns for a general class of stochastic volatility models. In these models, the stochastic differential equation for volatility is autonomous, time-homogeneous and dependent on only a finite…

Statistical Finance · Quantitative Finance 2019-03-21 Henrik O. Rasmussen , Paul Wilmott

We study dynamical behavior of the Chinese stock markets by investigating the statistical properties of daily ensemble returns and varieties defined respectively as the mean and the standard deviation of the ensemble daily price returns of…

Physics and Society · Physics 2008-12-02 Gao-Feng Gu , Wei-Xing Zhou

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…

Statistical Finance · Quantitative Finance 2009-06-02 Fengzhong Wang , Kazuko Yamasaki , Shlomo Havlin , H. Eugene Stanley

Risk management is very important for individual investors or companies. There are many ways to measure the risk of investment. Prices of risky assets vary rapidly and randomly due to the complexity of finance market. Random interval is a…

Portfolio Management · Quantitative Finance 2022-07-26 Jinping Zhang , Keming Zhang

The distribution of recurrence times or return intervals between extreme events is important to characterize and understand the behavior of physical systems and phenomena in many disciplines. It is well known that many physical processes in…

Statistical Finance · Quantitative Finance 2008-12-29 M. S. Santhanam , Holger Kantz

Several works have observed heavy-tailed behavior in the distributions of returns in different markets, which are observable indicators of underlying complex dynamics. Such prior works study return distributions that are marginalized across…

Statistical Mechanics · Physics 2024-01-11 Hideyuki Miyahara , Hai Qian , Pavan Holur , Vwani Roychowdhury
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