Record statistics for biased random walks, with an application to financial data.

  title={Record statistics for biased random walks, with an application to financial data.},
  author={Gregor Wergen and Miro Bogner and Joachim H A Krug},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={83 5 Pt 1},
  • G. WergenM. BognerJ. Krug
  • Published 4 March 2011
  • Mathematics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
We consider the occurrence of record-breaking events in random walks with asymmetric jump distributions. The statistics of records in symmetric random walks was previously analyzed by Majumdar and Ziff [Phys. Rev. Lett. 101, 050601 (2008)] and is well understood. Unlike the case of symmetric jump distributions, in the asymmetric case the statistics of records depends on the choice of the jump distribution. We compute the record rate P(n)(c), defined as the probability for the nth value to be… 

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