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

By Orietta Nicolis and Jorge Mateu

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 avelet 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

Topics: Anisotropy, Earthquake events, Entropy, Spatial point patterns, Wavelets
Publisher: MDPI
Year: 2015
DOI identifier: 10.3390/e17064155
OAI identifier: oai:repositori.uji.es:10234/151725
Provided by: Repositori UJI
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