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Some Remarks on the Statistical Modeling of Chaotic Systems

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Nonlinear Dynamics and Statistics

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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.

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Authors
  1. Dominique Guegan
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Editors and Affiliations

  1. Centre for Applied Dynamics and Optimization, University of Western Australia, Perth, Western Australia WA, 6907, Australia

    Alistair I. Mees

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Guegan, D. (2001). Some Remarks on the Statistical Modeling of Chaotic Systems. In: Mees, A.I. (eds) Nonlinear Dynamics and Statistics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0177-9_5

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  • DOI: https://doi.org/10.1007/978-1-4612-0177-9_5

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6648-8

  • Online ISBN: 978-1-4612-0177-9

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