Equivalence and Bifurcations of Finite Order Stochastic Processes
AbstractThis 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.
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Bibliographic InfoPaper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 05-043/1.
Date of creation: 11 May 2005
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Stochastic processes; structural stability; copula density; bifurcations;
Other versions of this item:
- Diks C.G.H. & Wagener, F.O.O., 2005. "Equivalence and bifurcations of finite order stochastic processes," CeNDEF Working Papers, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance 05-09, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Florian Wagener & Cees Diks, 2005. "Equivalence and bifurcations of finite order stochastic processes," Working Papers, Warwick Business School, Finance Group wp05-05, Warwick Business School, Finance Group.
- C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
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- 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, Springer, vol. 7(2), pages 263-276.
- Saralees Nadarajah & Kosto Mitov & Samuel Kotz, 2003. "Local dependence functions for extreme value distributions," Journal of Applied Statistics, Taylor & Francis Journals, Taylor & Francis Journals, vol. 30(10), pages 1081-1100.
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