On the statistics of the largest geomagnetic storms per solar cycle

Mathematics – Probability

Scientific paper

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Geomagnetism, Magnetic Storms, Probability Distribution Functions, Solar Activity Effects, Solar Cycles, Statistical Analysis, Extremum Values, Random Variables, Standard Deviation, Stochastic Processes

Scientific paper

Extreme value statistics are applied to the first, second and third largest geomagnetic storms in nine solar cycles as measured by the average half-daily aa indices. Analytic expressions giving the probability of the extremes per solar cycle as a continuous function of storm magnitude are obtained by least squares fitting of the observations to the appropriate extreme value probability functions. The results are used to obtain mode, median, mean and standard deviation for the extreme values.

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