JOURNAL OF THE JAPAN STATISTICAL SOCIETY
Online ISSN : 1348-6365
Print ISSN : 1882-2754
ISSN-L : 1348-6365
Articles
Estimating the Correlation Dimension from a Chaotic System with Dynamic Noise
Atsushi Kawaguchi, Koji Yonemoto, Takashi Yanagawa
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Keywords: chaotic dynamical system, correlation dimension, Nadaraya-Watson kernel type estimator, U-statistics
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2005 Volume 35 Issue 2 Pages 287-302

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Abstract
This paper proposes an estimator of the correlation dimension of the skeleton for chaotic dynamical system with dynamic noise and prove the consistency of the estimator under some assumptions.
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© 2005 Japan Statistical Society
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