Departure from Gaussian: The Waiting time Statistics of X-Ray Solar Flares

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dc.creatorLeddon, Deborah
dc.date2001-08-03
dc.date2001-08-16
dc.date.accessioned2026-07-07T02:42:20Z
dc.date.available2026-07-07T02:42:20Z
dc.descriptionPrevious studies of the statistical behavior of solar flare waiting times are based on the assumptions of Gaussian and Poisson statistics, subject to central limit theorem restrictions. In this study, the results of a rescaled range analysis on the waiting times for two hard x-ray solar flare data sets are presented. The Hurst scaling parameter, H, for both data sets is well above 0.5, clearly indicating that the statistics of the data has departed from ordinary Brownian motion and is characterized by memory correlations. In addition, the distribution exponents, mu, when compared to the same values obtained from the relationship between the scaling parameter and mu for an asymmetric jump model, reveals that the waiting time distributions are characterized by L'evy statistics.
dc.description17 pages, 4 figures, 2 tables. Submitted to Physica D, July 3, 2001
dc.identifierhttps://arxiv.org/abs/cond-mat/0108062
dc.identifierhttp://arxiv.org/abs/cond-mat/0108062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18101
dc.subjectStatistical Mechanics
dc.titleDeparture from Gaussian: The Waiting time Statistics of X-Ray Solar Flares
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