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arXiv 2301.05080q-fin.STstat.CO
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基于层次聚类的金融市场非线性相关分析

Non-linear correlation analysis in financial markets using hierarchical clustering

J. E. Salgado-Hernández, Manan Vyas

摘要:

距离相关系数(DCC)可用于识别多个变量之间的新关联和相关性。距离相关系数适用于任何维度的变量,可用于确定提供等效信息的较小变量集,仅当变量独立时为零,并且能够检测经典皮尔逊相关系数(PCC)无法检测的非线性关联。因此,DCC比PCC提供更多的信息。我们分析了S\&P500数据库中的大量股票对的距离相关系数,并根据这些相关性度量使用凝聚聚类提供了金融市场状态随机演化的概述。

英文摘要:

Distance correlation coefficient (DCC) can be used to identify new associations and correlations between multiple variables. The distance correlation coefficient applies to variables of any dimension, can be used to determine smaller sets of variables that provide equivalent information, is zero only when variables are independent, and is capable of detecting nonlinear associations that are undetectable by the classical Pearson correlation coefficient (PCC). Hence, DCC provides more information than the PCC. We analyze numerous pairs of stocks in S\&P500 database with the distance correlation coefficient and provide an overview of stochastic evolution of financial market states based on these correlation measures obtained using agglomerative clustering.

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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