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Entropy 2015, 17(6), 4155-4172; doi:10.3390/e17064155

2D Anisotropic Wavelet Entropy with an Application to Earthquakes in Chile

1
Institute of Statistics, University of Valparaiso, Av. Gran Bretaña 1111 , Valparaiso, Chile
2
Institute of Mathematics, University Jaume I of Castellón, Campus Riu Sec, Castellon 12071, Spain
*
Author to whom correspondence should be addressed.
Academic Editor: Raúl Alcaraz Martínez
Received: 12 May 2015 / Accepted: 4 June 2015 / Published: 16 June 2015
(This article belongs to the Special Issue Wavelet Entropy: Computation and Applications)
View Full-Text   |   Download PDF [848 KB, uploaded 17 June 2015]   |  

Abstract

We propose a wavelet-based approach to measure the Shannon entropy in the context of spatial point patterns. The method uses the fully anisotropic Morlet wavelet to estimate the energy distribution at different directions and scales. The spatial heterogeneity and complexity of spatial point patterns is then analyzed using the multiscale anisotropic wavelet entropy. The efficacy of the approach is shown through a simulation study. Finally, an application to the catalog of earthquake events in Chile is considered. View Full-Text
Keywords: anisotropy; earthquake events; entropy; spatial point patterns; wavelets anisotropy; earthquake events; entropy; spatial point patterns; wavelets
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Nicolis, O.; Mateu, J. 2D Anisotropic Wavelet Entropy with an Application to Earthquakes in Chile. Entropy 2015, 17, 4155-4172.

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