Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 2005-05-11 Number: 05-043/1 Author-Name: Cees Diks Author-Email: C.G.H.Diks@uva.nl Author-Workplace-Name: Faculty of Economics and Econometrics, Universiteit van Amsterdam Author-Name: Florian Wagener Author-Email: F.O.O.Wagener@uva.nl Author-Workplace-Name: Faculty of Economics and Econometrics, Universiteit van Amsterdam Title: Equivalence and Bifurcations of Finite Order Stochastic Processes 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. Classification-JEL: C14 Keywords: Stochastic processes; structural stability; copula density; bifurcations File-Url: https://papers.tinbergen.nl/05043.pdf File-Format: application/pdf File-Size: 1704334 bytes Handle: RePEc:tin:wpaper:20050043