Global Rényi index of the distance matrix

Chun-Xiao Nie and Fu-Tie Song

Physica A: Statistical Mechanics and its Applications, 2019, vol. 514, issue C, 902-915

Abstract: In previous studies, the heterogeneity of complex networks has been extensively studied. In our study, the heterogeneity of distance matrices is studied based on the Rényi index of networks. We define a new metric and name it global Rényi index (GRI), and prove several properties. In particular, the GRI value of the distance matrix corresponding to the evenly distributed point set in the Euclidean space is zero. Some model data were used to clarify the geometric meanings of GRI, and then we studied the GRI value of financial data. The results show that the GRI value in the real market changes drastically and is significantly different from the GRI value of the model-generated data. These results suggest that the proposed concept (GRI) is meaningful to the study distance matrix and provides a new perspective based on the network.

Keywords: Rényi index; Financial market; Distance matrix (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437118312457
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:514:y:2019:i:c:p:902-915

DOI: 10.1016/j.physa.2018.09.112

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().