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The Fisher information measure and Shannon entropy for particulate matter measurements

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  • Telesca, Luciano
  • Caggiano, Rosa
  • Lapenna, Vincenzo
  • Lovallo, Michele
  • Trippetta, Serena
  • Macchiato, Maria

Abstract

We investigated the dynamics of particulate matter data, recorded in Tito, a small industrial area of southern Italy. The analysis of these signals was performed using the Fisher information measure (FIM), which is a powerful tool for investigating complex and nonstationary signals, and the Shannon entropy, which is a well-known tool for investigating the degree of disorder in dynamical systems. Our results point to an increase of disorder and complexity from fine to coarse particulates.

Suggested Citation

  • Telesca, Luciano & Caggiano, Rosa & Lapenna, Vincenzo & Lovallo, Michele & Trippetta, Serena & Macchiato, Maria, 2008. "The Fisher information measure and Shannon entropy for particulate matter measurements," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4387-4392.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:16:p:4387-4392
    DOI: 10.1016/j.physa.2008.02.064
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    References listed on IDEAS

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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 Technology, number hsbook9401, December.
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    Cited by:

    1. Amato, Federico & Laib, Mohamed & Guignard, Fabian & Kanevski, Mikhail, 2020. "Analysis of air pollution time series using complexity-invariant distance and information measures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    2. Potirakis, S.M. & Minadakis, G. & Eftaxias, K., 2012. "Analysis of electromagnetic pre-seismic emissions using Fisher information and Tsallis entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 300-306.
    3. Yu-Pin Lin & Hone-Jay Chu & Chen-Fa Wu & Tsun-Kuo Chang & Chiu-Yang Chen, 2010. "Hotspot Analysis of Spatial Environmental Pollutants Using Kernel Density Estimation and Geostatistical Techniques," IJERPH, MDPI, vol. 8(1), pages 1-14, December.
    4. Telesca, Luciano & Lovallo, Michele & Hsu, Han-Lun & Chen, Chien-Chih, 2011. "Analysis of dynamics in magnetotelluric data by using the Fisher–Shannon method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(7), pages 1350-1355.

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