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arXiv 0911.4258q-fin.ST
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股票市场活动的统计规律

Statistical Regularities of Equity Market Activity

Fengzhong Wang, Kazuko Yamasaki, Shlomo Havlin, H. Eugene Stanley

摘要:

股权活动是金融市场研究的重要课题。为了探索其统计特性,我们全面考察了美国股市3314只交易量最大的股票的交易价值,发现(i)交易价值服从对数正态分布;(ii)交易价值增长率的标准差与初始交易价值服从幂律,幂律指数β =0.14。值得注意的是,这两个功能适用于从5分钟到20个交易日的广泛采样间隔。此外,我们发现所有的3314只股票都具有长期相关性,它们的赫斯特指数H服从正态分布。此外,我们发现赫斯特指数取决于公司的规模。我们还表明,增长率的缩放和长期相关性之间的关系是一致的β =1-H,类似于最近发现的人类互动活动的Rybski和合作者。

英文摘要:

Equity activity is an essential topic for financial market studies. To explore its statistical regularities, we comprehensively examine the trading value, a measure of the equity activity, of the 3314 most-traded stocks in the U.S. equity market and find that (i) the trading values follow a log-normal distribution; (ii) the standard deviation of the growth rate of the trading value obeys a power-law with the initial trading value, and the power-law exponent beta=0.14. Remarkably, both features hold for a wide range of sampling intervals, from 5 minutes to 20 trading days. Further, we show that all the 3314 stocks have long-term correlations, and their Hurst exponents H follow a normal distribution. Furthermore, we find that the Hurst exponent depends on the size of the company. We also show that the relation between the scaling in the growth rate and the long-term correlation is consistent with beta=1-H, similar to that found recently on human interaction activity by Rybski and collaborators.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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