Mathematics (Mar 2020)

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

  • 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. Kolombet,
  • Victor A. Panchelyuga,
  • Gumersindo Verdú

DOI
https://doi.org/10.3390/math8030344
Journal volume & issue
Vol. 8, no. 3
p. 344

Abstract

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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.

Keywords