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Extreme Value Theory Applied to the Daily Solar Radio Flux at 10.7 cm

Abstract

Extreme Value Theory, a statistical tool widely used to study extreme events in time series corresponding to a broad range of fields, is here used to study the solar radio flux at 10.7 cm at a daily scale for the period 1948 – 2018. The peaks-over-threshold approach is taken to study the parameters of the distribution of the extreme values over a high, predefined threshold. The results led to a negative shape parameter, showing that there is an upper bound for the distribution of the peak values. The return level is also studied, and all of the results are in accordance with those obtained previously for sunspot-number series.

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Acknowledgements

Support for this research was provided by the Department of Economy and Infrastructure of the Junta of Extremadura through projects IB16063 and IB16127 and grant GR18097 (co-financed by the European Regional Development Fund), and by the Ministerio de Economía y Competitividad of the Spanish Government (CGL2017-87917-P).

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Correspondence to J. M. Vaquero.

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Acero, F.J., Vaquero, J.M., Gallego, M.C. et al. Extreme Value Theory Applied to the Daily Solar Radio Flux at 10.7 cm. Sol Phys 294, 67 (2019). https://doi.org/10.1007/s11207-019-1457-z

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Keywords

  • Extreme values
  • Solar radio flux