Correlations between Background Radiation Inside a Multilayer Interleaving Structure, Geomagnetic Activity, and Cosmic Radiation: A Fourth-Order Cumulant-Based Correlation Analysis
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 propose...
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| Format: | Article |
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MDPI AG
2020-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/3/344 |
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| author | 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 |
| author_facet | 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 |
| author_sort | Miguel E. Iglesias-Martínez |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-13T00:04:47Z |
| format | Article |
| id | doaj.art-f2e79c8c72974815994dcd51bfe6b20f |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-13T00:04:47Z |
| publishDate | 2020-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-f2e79c8c72974815994dcd51bfe6b20f2022-12-22T00:06:18ZengMDPI AGMathematics2227-73902020-03-018334410.3390/math8030344math8030344Correlations between Background Radiation Inside a Multilayer Interleaving Structure, Geomagnetic Activity, and Cosmic Radiation: A Fourth-Order Cumulant-Based Correlation AnalysisMiguel E. Iglesias-Martínez0Juan Carlos Castro-Palacio1Felix Scholkmann2Victor Milián-Sánchez3Pedro Fernández de Córdoba4Antonio Mocholí-Salcedo5Ferrán Mocholí Belenguer6Valeriy A. Kolombet7Victor A. Panchelyuga8Gumersindo Verdú9Grupo de Modelización Interdisciplinar, InterTech, Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Camino de Vera, s/n, 46022 València, SpainGrupo de Modelización Interdisciplinar, InterTech, Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Camino de Vera, s/n, 46022 València, SpainResearch Office for Complex Physical and Biological Systems, 8006 Zurich, SwitzerlandInstitute for Industrial, Radiophysical and Environmental Safety, Universitat Politècnica de València, Camino de Vera, s/n, 46022 València, SpainGrupo de Modelización Interdisciplinar, InterTech, Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Camino de Vera, s/n, 46022 València, SpainTraffic Control Systems Group, ITACA Institute, Universitat Politècnica de València, Camino de Vera, s/n, 46022 València, SpainTraffic Control Systems Group, ITACA Institute, Universitat Politècnica de València, Camino de Vera, s/n, 46022 València, SpainInstitute of Theoretical and Experimental Biophysics, Russian Academy of Science, Moscow Region, Pushchino 142292, RussiaInstitute of Theoretical and Experimental Biophysics, Russian Academy of Science, Moscow Region, Pushchino 142292, RussiaInstitute for Industrial, Radiophysical and Environmental Safety, Universitat Politècnica de València, Camino de Vera, s/n, 46022 València, SpainTime-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.https://www.mdpi.com/2227-7390/8/3/344radioactive decayspace weathergeomagnetic activitycosmic-ray activitycorrelation analysis |
| spellingShingle | 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 Correlations between Background Radiation Inside a Multilayer Interleaving Structure, Geomagnetic Activity, and Cosmic Radiation: A Fourth-Order Cumulant-Based Correlation Analysis Mathematics radioactive decay space weather geomagnetic activity cosmic-ray activity correlation analysis |
| title | Correlations between Background Radiation Inside a Multilayer Interleaving Structure, Geomagnetic Activity, and Cosmic Radiation: A Fourth-Order Cumulant-Based Correlation Analysis |
| title_full | Correlations between Background Radiation Inside a Multilayer Interleaving Structure, Geomagnetic Activity, and Cosmic Radiation: A Fourth-Order Cumulant-Based Correlation Analysis |
| title_fullStr | Correlations between Background Radiation Inside a Multilayer Interleaving Structure, Geomagnetic Activity, and Cosmic Radiation: A Fourth-Order Cumulant-Based Correlation Analysis |
| title_full_unstemmed | Correlations between Background Radiation Inside a Multilayer Interleaving Structure, Geomagnetic Activity, and Cosmic Radiation: A Fourth-Order Cumulant-Based Correlation Analysis |
| title_short | Correlations between Background Radiation Inside a Multilayer Interleaving Structure, Geomagnetic Activity, and Cosmic Radiation: A Fourth-Order Cumulant-Based Correlation Analysis |
| title_sort | correlations between background radiation inside a multilayer interleaving structure geomagnetic activity and cosmic radiation a fourth order cumulant based correlation analysis |
| topic | radioactive decay space weather geomagnetic activity cosmic-ray activity correlation analysis |
| url | https://www.mdpi.com/2227-7390/8/3/344 |
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