Asymptotic Behavior

  • Pierre Del Moral
Part of the Probability and its Applications book series (PIA)


This chapter provides an introduction to the asymptotic behavior of particle approximation models as the size of the systems and/or the time horizon tends to infinity. In the following picture, we have illustrated the random evolution of the simple N-genetic approximation model described in (3.4). This picture gives a sound basis to the main questions related to the asymptotic analysis of the particle approximation scheme.


Asymptotic Behavior Independent Random Variable Particle Model Empirical Process Extinction Probability 
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Copyright information

© Springer-Verlag New York, LLC 2004

Authors and Affiliations

  • Pierre Del Moral
    • 1
  1. 1.Laboratoire de Statistique et ProbabilitésUniversité Paul SabatierToulouse, Cedex 4France

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