Development of Stock Networks Using Part Mutual Information and Australian Stock Market Data

Complex network is a powerful tool to discover important information from various types of big data. Although substantial studies have been conducted for the development of stock relation networks, correlation coefficient is dominantly used to measure the relationship between stock pairs. Informatio...

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Vydáno v:Entropy (Basel, Switzerland) Ročník 22; číslo 7; s. 773
Hlavní autoři: Yan, Yan, Wu, Boyao, Tian, Tianhai, Zhang, Hu
Médium: Journal Article
Jazyk:angličtina
Vydáno: Switzerland MDPI 15.07.2020
MDPI AG
Témata:
clique
correlation coefficient
degree
part mutual information
path-consistency
stock relation network
degree
clique
stock relation network
part mutual information
correlation coefficient
path-consistency
ISSN:1099-4300, 1099-4300
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Shrnutí:Complex network is a powerful tool to discover important information from various types of big data. Although substantial studies have been conducted for the development of stock relation networks, correlation coefficient is dominantly used to measure the relationship between stock pairs. Information theory is much less discussed for this important topic, though mutual information is able to measure nonlinear pairwise relationship. In this work we propose to use part mutual information for developing stock networks. The path-consistency algorithm is used to filter out redundant relationships. Using the Australian stock market data, we develop four stock relation networks using different orders of part mutual information. Compared with the widely used planar maximally filtered graph (PMFG), we can generate networks with cliques of large size. In addition, the large cliques show consistency with the structure of industrial sectors. We also analyze the connectivity and degree distributions of the generated networks. Analysis results suggest that the proposed method is an effective approach to develop stock relation networks using information theory.
Bibliografie:ObjectType-Article-1
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ISSN:1099-4300
1099-4300
DOI:10.3390/e22070773