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Informational analysis of seismic sequences by applying the Fisher Information Measure and the Shannon entropy: An application to the 2004–2010 seismicity of Aswan area (Egypt)

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  • Telesca, Luciano
  • Lovallo, Michele
  • Mohamed, Abuo El-Ela Amin
  • ElGabry, Mohamed
  • El-hady, Sherif
  • Elenean, Kamal M. Abou
  • ElBary, Rafaat ElShafey Fat

Abstract

The interevent-time (IET) and interevent-distance (IED) series of seismic events occurred at Aswan area (Egypt) from 2004 to 2010 were investigated by means of the Fisher Information Measure and the Shannon entropy. The analysis was performed varying the depth and the magnitude thresholds. The results point out to an increase of level of organization and order with the decrease of magnitude threshold and the increase of depth threshold for the IET series, while the IED series are characterized by a level of uncertainty approximately constant with the threshold magnitude. The complexity measure, calculated as the product of the Fisher Information Measure and the Shannon entropy power, presents very similar pattern for both the types of seismic series, indicating an increasing complexity with the decrease of the threshold magnitude and the increase of the threshold depth.

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  • Telesca, Luciano & Lovallo, Michele & Mohamed, Abuo El-Ela Amin & ElGabry, Mohamed & El-hady, Sherif & Elenean, Kamal M. Abou & ElBary, Rafaat ElShafey Fat, 2012. "Informational analysis of seismic sequences by applying the Fisher Information Measure and the Shannon entropy: An application to the 2004–2010 seismicity of Aswan area (Egypt)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(9), pages 2889-2897.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:9:p:2889-2897
    DOI: 10.1016/j.physa.2011.12.047
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    1. Aleksander Janicki & Aleksander Weron, 1994. "Simulation and Chaotic Behavior of Alpha-stable Stochastic Processes," HSC Books, Hugo Steinhaus Center, Wroclaw University of Science and Technology, number hsbook9401, December.
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