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网络规模对比较不同股票网络的影响。

Effect of network size on comparing different stock networks.

机构信息

Department of Computer Science and Telecommunication Engineering, Noakhali Science and Technology University, Noakhali, Bangladesh.

Department of Physics, Inha University, Incheon, Republic of Korea.

出版信息

PLoS One. 2023 Dec 14;18(12):e0288733. doi: 10.1371/journal.pone.0288733. eCollection 2023.

Abstract

We analyzed complex networks generated by the threshold method in the Korean and Indian stock markets during the non-crisis period of 2004 and the crisis period of 2008, while varying the size of the system. To create the stock network, we randomly selected N stock indices from the market and constructed the network based on cross-correlation among the time series of stock prices. We computed the average shortest path length L and average clustering coefficient C for several ensembles of generated stock networks and found that both metrics are influenced by network size. Since L and C are affected by network size N, a direct comparison of graph measures between stock networks with different numbers of nodes could lead to erroneous conclusions. However, we observed that the dependency of network measures on N is significantly reduced when comparing larger networks with normalized shortest path lengths. Additionally, we discovered that the effect of network size on network measures during the crisis period is almost negligible compared to the non-crisis periods.

摘要

我们分析了韩国和印度股票市场在 2004 年非危机时期和 2008 年危机时期的阈值方法生成的复杂网络,同时改变了系统的大小。为了创建股票网络,我们从市场中随机选择 N 只股票指数,并根据股票价格时间序列之间的互相关构建网络。我们计算了几批生成的股票网络的平均最短路径长度 L 和平均聚类系数 C,并发现这两个度量都受到网络大小的影响。由于 L 和 C 受到网络大小 N 的影响,因此在比较具有不同节点数的股票网络的图度量时可能会得出错误的结论。然而,我们观察到,当比较具有归一化最短路径长度的较大网络时,网络度量对 N 的依赖性显著降低。此外,我们发现与非危机时期相比,危机时期网络大小对网络度量的影响几乎可以忽略不计。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3445/10721020/54aa3abb7def/pone.0288733.g001.jpg

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