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Modelling train delays with q-exponential functions

Author

Listed:
  • Briggs, Keith
  • Beck, Christian

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.

Suggested Citation

  • Briggs, Keith & Beck, Christian, 2007. "Modelling train delays with q-exponential functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 498-504.
  • Handle: RePEc:eee:phsmap:v:378:y:2007:i:2:p:498-504
    DOI: 10.1016/j.physa.2006.11.084
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    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

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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 2013:3, CTS - Centre for Transport Studies Stockholm (KTH and VTI).
    2. Kosun, Caglar & Ozdemir, Serhan, 2016. "A superstatistical model of vehicular traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 466-475.
    3. repec:eee:phsmap:v:485:y:2017:i:c:p:48-60 is not listed on IDEAS
    4. 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.
    5. M. Finger & A. Haller & S. Strube Martins & U. Trinkner, 2014. "Integrated Timetables for Railway Passenger Transport Services," Competition and Regulation in Network Industries, Intersentia, vol. 15(1), pages 78-107, March.
    6. 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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