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Modelling train delays with q-exponential functions


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  • Briggs, Keith
  • Beck, Christian
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    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.

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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 378 (2007)
    Issue (Month): 2 ()
    Pages: 498-504

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    Handle: RePEc:eee:phsmap:v:378:y:2007:i:2:p:498-504

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    Keywords: Superstatistics; q-exponentials; Fat-tail distributions; Delay distributions; Railway traffic;


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    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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    1. Abul-Magd, A.Y., 2006. "Superstatistics in random matrix theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(1), pages 41-54.
    2. Beck, Christian, 2004. "Generalized statistical mechanics of cosmic rays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 173-181.
    3. Tsallis, Constantino & Mendes, RenioS. & Plastino, A.R., 1998. "The role of constraints within generalized nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 534-554.
    4. Chavanis, Pierre-Henri, 2006. "Coarse-grained distributions and superstatistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 359(C), pages 177-212.
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    Cited by:
    1. Bergström, Anna & Krüger, Niclas A., 2013. "Modeling passenger train delay distributions: evidence and implications," Working papers in Transport Economics, CTS - Centre for Transport Studies Stockholm (KTH and VTI) 2013:3, CTS - Centre for Transport Studies Stockholm (KTH and VTI).
    2. Lubashevsky, Ihor & Friedrich, Rudolf & Heuer, Andreas & Ushakov, Andrey, 2009. "Generalized superstatistics of nonequilibrium Markovian systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(21), pages 4535-4550.
    3. M. Finger & A. Haller & S. Strube Martins & U. Trinkner, 2014. "Integrated Timetables for Railway Passenger Transport Services," Competition and Regulation in Network Industries, Intersentia, Intersentia, vol. 15(1), pages 78-107, March.
    4. Bercher, J.-F. & Vignat, C., 2008. "A new look at q-exponential distributions via excess statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5422-5432.


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