Testing the scope of superstatistical time series analysis: Application to the SYM-H geomagnetic index

Abstract

An application of time series analysis is proposed from a extended perspective of superstatistics, in which a Boltzmann-like distribution with a power law $E^{m-1}$ density of states has been introduced. This superstatistical scenario is one generated by a superposition of gamma distributions, which has already been hinted in some papers. Two time series for the magnitude of SYM-H geomagnetic index have been taken, covering periods between solar cycles 22 and 24, where data of minimum and maximum solar activity have been extracted. Analyzes were performed from the proposed superstatistical perspective to the corresponding time series, showing concordance that could suggest that each of them is a consequence of a superstatistical-like process.