Simulation and chaotic behavior of α-stable stochastic processes

書誌事項

Simulation and chaotic behavior of α-stable stochastic processes

Aleksander Janicki, Aleksander Weron

(Monographs and textbooks in pure and applied mathematics, 178)

M. Dekker, c1994

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注記

Includes bibliographical references (p. 339-352) and index

内容説明・目次

内容説明

Presents new computer methods in approximation, simulation, and visualization for a host of alpha-stable stochastic processes.

目次

  • Preliminary remarks
  • Brownian motion, poisson process, alpha-stable Levy motion
  • computer simulation of alpha-stable random variables
  • stochastic integration
  • spectral representations of stationary processes
  • computer approximations of continuous time processes
  • examples of alpha-stable stochastic modelling
  • convergence of approximate methods
  • chaotic behaviour of stationary processes
  • hierarchy of chaos for stable and ID stationary processes. Appendix - a guide to simulation.

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