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 and Gumersindo Verdú
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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

Mathematics, 2020, vol. 8, issue 3, 1-8

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.

Keywords: radioactive decay; space weather; geomagnetic activity; cosmic-ray activity; correlation analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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