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Equivalence and bifurcations of finite order stochastic processes

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  • Diks C.G.H.

    () (Universiteit van Amsterdam)

  • Wagener, F.O.O.

    () (Universiteit van Amsterdam)

Abstract

This article presents an equivalence notion of finite order stochastic processes. Local dependence measures are defined in terms of joint and marginal densities. The dependence measures are classified topologically using level sets. The corresponding bifurcation theory is illustrated with some simple examples.

Suggested Citation

  • Diks C.G.H. & Wagener, F.O.O., 2005. "Equivalence and bifurcations of finite order stochastic processes," CeNDEF Working Papers 05-09, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  • Handle: RePEc:ams:ndfwpp:05-09
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    References listed on IDEAS

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    1. Igor V. Evstigneev & Michal A. H. Dempster & Klaus R. Schenk-Hoppé, 2003. "Exponential growth of fixed-mix strategies in stationary asset markets," Finance and Stochastics, Springer, vol. 7(2), pages 263-276.
    2. Saralees Nadarajah & Kosto Mitov & Samuel Kotz, 2003. "Local dependence functions for extreme value distributions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(10), pages 1081-1100.
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    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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