Integer and Fractional Order Entropy Analysis of Earthquake Data-series

Lopes, António M.; Machado, J.A.Tenreiro

http://hdl.handle.net/10400.22/6965

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
ART_TenreiroMachado27_2015.pdf		7.13 MB	Adobe PDF	Download

Send Feedback

Authors

Lopes, António M.

Machado, J.A.Tenreiro

Abstract(s)

This paper studies the statistical distributions of worldwide earthquakes from year 1963 up to year 2012. A Cartesian grid, dividing Earth into geographic regions, is considered. Entropy and the Jensen–Shannon divergence are used to analyze and compare real-world data. Hierarchical clustering and multi-dimensional scaling techniques are adopted for data visualization. Entropy-based indices have the advantage of leading to a single parameter expressing the relationships between the seismic data. Classical and generalized (fractional) entropy and Jensen–Shannon divergence are tested. The generalized measures lead to a clear identification of patterns embedded in the data and contribute to better understand earthquake distributions.