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Poisson Processes and Ruin Theory

  • Monique JeanblancEmail author
  • Marc Yor
  • Marc Chesney
Chapter
  • 3.8k Downloads
Part of the Springer Finance book series (FINANCE)

Abstract

We give in this chapter the main results on Poisson processes, which are basic examples of jump processes. Despite their elementary properties they are building blocks of jump process theory. We present various generalizations such as inhomogeneous Poisson processes and compound Poisson processes. We end this chapter with two sections about point processes and marked point processes.

Keywords

Poisson Process Point Process Counting Process Poisson Point Process Local Martingale 
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Copyright information

© Springer-Verlag London 2009

Authors and Affiliations

  1. 1.Dépt. MathématiquesUniversité d’EvryEvryFrance
  2. 2.Labo. Probabilités et Modèles AléatoiresUniversité Paris VIParisFrance
  3. 3.Inst. Schweizerisches Bankwesen (ISB)Universität ZürichZürichSwitzerland

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