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Modelization and Nonparametric Estimation for Dynamical Systems with Noise

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  • D. Blanke
  • D. Bosq
  • D. Guégan

Abstract

We examine the effect of two specific noises on a dynamical system. We obtain consistent estimates with their rates of convergence for the invariant density for such a model. Some simulations are provided.
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Suggested Citation

  • D. Blanke & D. Bosq & D. Guégan, 2003. "Modelization and Nonparametric Estimation for Dynamical Systems with Noise," Statistical Inference for Stochastic Processes, Springer, vol. 6(3), pages 267-290, October.
  • Handle: RePEc:spr:sistpr:v:6:y:2003:i:3:p:267-290
    DOI: 10.1023/A:1025861910252
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    References listed on IDEAS

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    1. Bosq, Denis, 1995. "Optimal asymptotic quadratic error of density estimators for strong mixing or chaotic data," Statistics & Probability Letters, Elsevier, vol. 22(4), pages 339-347, March.
    2. Dominique Guegan & L. Mercier, 1998. "Non parametric forecasting techniques for mixing chaotic time series," Post-Print halshs-00199145, HAL.
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    Cited by:

    1. Panova, Anna (Панова, Анна), 2017. "Decision Making Mechanisms at University [Механизмы Принятия Решений В Университете]," Ekonomicheskaya Politika / Economic Policy, Russian Presidential Academy of National Economy and Public Administration, vol. 2, pages 132-151, April.

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