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 Warwick Business School, Finance Group in its series Working Papers with number wp05-05.
Date of creation: 2005
Date of revision:
Other versions of this item:
- Cees Diks & Florian Wagener, 2005. "Equivalence and Bifurcations of Finite Order Stochastic Processes," Tinbergen Institute Discussion Papers 05-043/1, Tinbergen Institute.
- 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.
- C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
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- 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.
- 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.
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