Nonparametric estimation of the chaotic function and the invariant measure of a dynamical system

DOI10.1016/0167-7152(94)00223-UzbMath0841.62028OpenAlexW2074238348MaRDI QIDQ1907910

Dominique Guégan, Denis Bosq

Publication date: 11 March 1996

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(94)00223-u

zbMATH Keywords

convergence ratesdiscrete time dynamical systemestimation of invariant distributions

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Non-Markovian processes: estimation (62M09)

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Wavelet shrinkage of a noisy dynamical system with non-linear noise impact, Density Estimation for One-Dimensional Dynamical Systems, Deterministic noises that can be statistically distinguished from the random ones, Unnamed Item, Estimation by wavelets in dynamical systems., Finitary reconstruction of a measure preserving transformation, Adaptive density estimation under weak dependence, STATISTICAL ESTIMATION OF THE EMBEDDING DIMENSION OF A DYNAMICAL SYSTEM

Cites Work

• Ergodic theory of chaos and strange attractors
• On Estimation of a Probability Density Function and Mode
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