Modelling train delays with q-exponential functions

Abstract

We demonstrate that the distribution of train delays on the British railway network is accurately described by q-exponential functions. We explain this by constructing an underlying superstatistical model.

12 pages, 5 figures

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• Asymptotics of superstatistics
• Defect turbulence and generalized statistical mechanics
• Intensity Thresholds and the Statistics of the Temporal Occurrence of Solar Flares
• Superstatistics in random matrix theory
• Superstatistics - a quantum generalization
• Analytic formula for hidden variable distribution: Complex networks arising from fluctuating random graphs

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