Some Remarks on the Statistical Modeling of Chaotic Systems

Dominique Guegan

Chapter Chapter 5 in Nonlinear Dynamics and Statistics, 2001, pp 105-126 from Springer

Abstract: Abstract Many of the issues in modeling nonlinear systems are statistical ones. In this chapter we give a statistician’s viewpoint of the problems of studying and understanding data from real-world dynamical systems. We present some new insights into the possibilities of obtaining consistent estimates for the invariants of a dynamical system, and some new results concerning noise-removal.

Keywords: Radial Basis Function; Lyapunov Exponent; Invariant Measure; Chaotic System; Master Equation (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0177-9_5

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DOI: 10.1007/978-1-4612-0177-9_5

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