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The observational Cumulative Distribution Functions (CDFs) constructed by the database (i.e., all black points correspond to actual data). The red line depicts the log-normal fit to the data per case. Each plot further includes the fraction of the data explained by the fit (in [%]) (i.e., a 100% fraction means that all data points have been used in the corresponding fit), the mean absolute error (MAE), and the fit that was used (i.e., log-normal). From top to bottom, the column on the left-hand side corresponds to the CDFs per CME width (Halo, Partial Halo, Non-Halo) for all CMEs in each sample. The column on the right-hand side corresponds to the CDFs in case the CME was associated with a SEP at an energy of E > 10 MeV, at each width bin. Similar fits (and plots) have been constructed for all other SEP integral energies of interest but are not shown.
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