Fig. 13

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Left: stabilised percentile-percentile plot for the null hypothesis of the best-fit infinite power law (red diagonal), showing stabilised model percentiles (SMPs) versus stabilised observed percentiles (SOPs). The corrected sample is shown as black data points. Percentiles of the best-fit truncated power law are indicated by blue line, and the 5% significance-level stabilised Kolmogorov–Smirnov acceptance region is shown by the two lines parallel to the diagonal. Middle: stabilised percentile–percentile plot for the null hypothesis of the best-fit truncated power law. Right: exceedance test results, comparing the observed maximum energy (vertical black line) with the distribution of simulated maxima (grey histogram). The 2.5th percentile of the simulated maxima (dashed grey line) is derived from 5000 trials drawn from the best-fit infinite power law.
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