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Technical Prerequisites

  • Shelemyahu Zacks
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 2203)

Abstract

Poisson processes are Markov jump processes, having jumps of equal (deterministic) size. Without loss of generality, we assume that the jump size is d = 1. We give here a constructive definition of the Poisson process, based on its properties. For the postulates on which it is derived, see Kao (1997, ch. 2) or Resnick (2005, ch. 4).

References

  1. Bertoin, J. (1996), Lévy Processes. Cambridge University Press: Cambridge. Google Scholar
  2. Doney, R.A. (2007), Fluctuation Theory for Lévy Processes; Springer-Verlag: Berlin Heidelberg.Google Scholar
  3. Durrett, R. (1996). Stochastic Calculus, A Practical Introduction; CRC: Boca Raton. Google Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Shelemyahu Zacks
    • 1
  1. 1.Binghamton UniversityBinghamtonUSA

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