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上海证券市场A股股票网络复杂特性分析

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以上海A股市场2013年4月到2014年4月持续交易的股票为节点,以股票价格波动相关性为连边,分别建立了无向无权的股票网络和有向无权股票网络.分析无向无权股票网络的聚类系数和度分布等网络拓扑特性,发现无向股票网络具有小世界效应和无标度特性.通过划分网络的社团结构,分析社团中股票行业分类,发现了具有同涨同跌关系的股票子集和股票市场中股票价格同涨同跌的关联机制.有向无权股票网络能够体现股票间价格波动的迟滞关系,分析发现股票相互影响是有方向的,而且网络中出度大的节点占有核心地位能够影响与它相连的股票价格的波动.
Complex Characteristics Analysis of Shanghai A-share Stock Market Network
An unweighted-undirected and a directed-unweighted network are built taking such stocks as nodes that had been traded uninterruptedly from April 2013 to April 2014 in shanghai A-share stocks market and taking the correlation of stock prices fluctuation as edges.The clustering coefficient and degree distribution of the network are analyzed.Results indicate that the unweighted-undirected stock have small world effect and scale-free property.The correlative mechanism associated of the stock price fluctuation in some stock subset was found by dividing the community structure for the network and analyzing the stock industry classification in each community.The directed-unweighted network can reflect the hysteresis relation of stock price fluctuations.It was found that the mutual influence of the stocks is directional,and the node with large degree and core status in the network can affect other stock.

clustering coefficientsmall world effectunweighted-undirected community structure

宋宜飞、邵峰晶、孙仁诚

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青岛大学信息工程学院,青岛266071

聚类系数 小世界效应 无向无权 有向有权 社团结构

国家自然科学基金重大研究计划培育国家自然科学基金山东省自然科学基金重点山东省自然科学基金青年基金

9113003541476101ZR2012FZ003ZR2012FQ017

2015

青岛大学学报(自然科学版)
青岛大学

青岛大学学报(自然科学版)

影响因子:0.248
ISSN:1006-1037
年,卷(期):2015.28(1)
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