Statistics of the largest sunspot and facular areas per solar cycle

Mathematics – Probability

Scientific paper

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Faculae, Solar Cycles, Statistical Analysis, Sunspots, Long Term Effects, Magnetic Storms, Photosphere, Probability Distribution Functions, Solar Activity, Solar Flares

Scientific paper

The paper uses the statistics of extreme values to investigate the statistical properties of the largest areas of sunspots and photospheric faculae per solar cycle. The largest values of the synodic-solar-rotation mean areas of umbrae, whole spots and faculae, which have been recorded for nine solar cycles are shown to comply with the general form of the extreme value probability function. Empirical expressions are derived for the three extreme value populations from which the characteristic statistic parameters, namely the mode, median, mean and standard deviation, can be calculated for each population. It is found that extreme areas of umbrae and whole spots have a diversion comparable to that found by Siscoe for the extreme values of sunspot number whereas the extreme areas of faculae have a smaller dispersion which is comparable to that found by Siscoe for the largest geomagnetic storm per solar cycle.

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