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arXiv 0709.2209q-fin.STphysics.data-an
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金融时间序列中基于随机矩阵理论的股票网络拓扑性质

Topological Properties of Stock Networks Based on Random Matrix Theory in Financial Time Series

Cheoljun Eom, Gapjin Oh, Hawoong Jeong, Seunghwan Kim

摘要:

通过比较原始股票网络与由随机矩阵理论(RMT)生成的相关矩阵估计的股票网络,研究了股票网络的拓扑性质.我们使用了韩国、日本、加拿大、美国、意大利和英国市场指数上交易的个股。结果如下。由于相关矩阵反映了更多的特征值属性,因此由相关矩阵估计的股票网络逐渐增加了与原始股票网络的一致程度。每只股票与原始股票网络中其他股票的链接数量不同,表现出不同的反应。特别是,最大的特征值是一个重要的确定性因素,在股票网络的形成。

英文摘要:

We investigated the topological properties of stock networks through a comparison of the original stock network with the estimated stock network from the correlation matrix created by the random matrix theory (RMT). We used individual stocks traded on the market indices of Korea, Japan, Canada, the USA, Italy, and the UK. The results are as follows. As the correlation matrix reflects the more eigenvalue property, the estimated stock network from the correlation matrix gradually increases the degree of consistency with the original stock network. Each stock with a different number of links to other stocks in the original stock network shows a different response. In particular, the largest eigenvalue is a significant deterministic factor in terms of the formation of a stock network.

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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