Weak convergence of stochastic processes

  • Dmitrii S. Silvestrov
Part of the Probability and its Applications book series (PIA)


In this chapter, we present a survey of results concerning weak convergence of random variables in metric spaces and functional limit theorems for càdlàg processes. These results form a basis for the study of limit theorems for randomly stopped stochastic processes and compositions of stochastic processes.


Weak Convergence Polish Space Pointwise Convergence Functional Limit Theorem Continuous Stochastic Process 
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Copyright information

© Springer-Verlag London 2004

Authors and Affiliations

  • Dmitrii S. Silvestrov
    • 1
  1. 1.Department of Mathematics and PhysicsMälardalen UniversityVästeråsSweden

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