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Some Remarks on the Statistical Modeling of Chaotic Systems

In: Nonlinear Dynamics and Statistics

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  • Dominique Guegan

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.

Suggested Citation

  • Dominique Guegan, 2001. "Some Remarks on the Statistical Modeling of Chaotic Systems," Springer Books, in: Alistair I. Mees (ed.), Nonlinear Dynamics and Statistics, chapter 0, pages 105-126, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0177-9_5
    DOI: 10.1007/978-1-4612-0177-9_5
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