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Correlations between Background Radiation Inside a Multilayer Interleaving Structure, Geomagnetic Activity, and Cosmic Radiation: A Fourth-Order Cumulant-Based Correlation Analysis

Author

Listed:
  • Miguel E. Iglesias-Martínez

    (Grupo de Modelización Interdisciplinar, InterTech, Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Camino de Vera, s/n, 46022 València, Spain)

  • Juan Carlos Castro-Palacio

    (Grupo de Modelización Interdisciplinar, InterTech, Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Camino de Vera, s/n, 46022 València, Spain)

  • Felix Scholkmann

    (Research Office for Complex Physical and Biological Systems, 8006 Zurich, Switzerland)

  • Victor Milián-Sánchez

    (Institute for Industrial, Radiophysical and Environmental Safety, Universitat Politècnica de València, Camino de Vera, s/n, 46022 València, Spain)

  • Pedro Fernández de Córdoba

    (Grupo de Modelización Interdisciplinar, InterTech, Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Camino de Vera, s/n, 46022 València, Spain)

  • Antonio Mocholí-Salcedo

    (Traffic Control Systems Group, ITACA Institute, Universitat Politècnica de València, Camino de Vera, s/n, 46022 València, Spain)

  • Ferrán Mocholí Belenguer

    (Traffic Control Systems Group, ITACA Institute, Universitat Politècnica de València, Camino de Vera, s/n, 46022 València, Spain)

  • Valeriy A. Kolombet

    (Institute of Theoretical and Experimental Biophysics, Russian Academy of Science, Moscow Region, Pushchino 142292, Russia)

  • Victor A. Panchelyuga

    (Institute of Theoretical and Experimental Biophysics, Russian Academy of Science, Moscow Region, Pushchino 142292, Russia)

  • Gumersindo Verdú

    (Institute for Industrial, Radiophysical and Environmental Safety, Universitat Politècnica de València, Camino de Vera, s/n, 46022 València, Spain
    Chemical and Nuclear Engineering Department, Universitat Politécnica de València, Camino de Vera, s/n, 46022 València, Spain)

Abstract

Time-series of background radiation (measured inside a multilayer structure), geomagnetic activity, and cosmic-ray activity has been analyzed using linear correlation analysis and a new correlation measure based on the one-dimensional component of the fourth-order cumulant. The new method is proposed based on the fact that the cumulant of a random process is zero if it is of Gaussian nature. The results show that this methodology is useful for detecting correlations between the analyzed time-series.

Suggested Citation

  • Miguel E. Iglesias-Martínez & Juan Carlos Castro-Palacio & Felix Scholkmann & Victor Milián-Sánchez & Pedro Fernández de Córdoba & Antonio Mocholí-Salcedo & Ferrán Mocholí Belenguer & Valeriy A. Kolom, 2020. "Correlations between Background Radiation Inside a Multilayer Interleaving Structure, Geomagnetic Activity, and Cosmic Radiation: A Fourth-Order Cumulant-Based Correlation Analysis," Mathematics, MDPI, vol. 8(3), pages 1-8, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:344-:d:328317
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    References listed on IDEAS

    as
    1. Miguel E. Iglesias-Martínez & Jose Alfonso Antonino-Daviu & Pedro Fernández de Córdoba & J. Alberto Conejero, 2019. "Rotor Fault Detection in Induction Motors Based on Time-Frequency Analysis Using the Bispectrum and the Autocovariance of Stray Flux Signals," Energies, MDPI, vol. 12(4), pages 1-16, February.
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