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＜journal article＞
Estimating the correlation dimension from a chaotic system with dynamic noise

Creator
Creator Name
Kawaguchi, Atsushi
川口, 淳
カワグチ, アツシ
Affiliation
Affiliation Name
Graduate School of Mathematics, Kyushu University
九州大学大学院数理学府
Author PID
L001272
Creator Name
Yonemoto, Koji
米本, 孝二
ヨネモト, コウジ
Affiliation
Affiliation Name
Graduate School of Medical Sciences, Kyushu University, Health C&C Center
九州大学大学院医学系学府
Author PID
K000492
Creator Name
Yanagawa, Takashi
柳川, 堯
ヤナガワ, タカシ
Affiliation
Affiliation Name
Graduate School of Mathematics, Kyushu University
九州大学大学院数理学府
Language
English
Publisher
Japan Statistical Society
日本統計学会
Date
2005-12
Source Title
Journal of the Japan Statistical Society
Vol
35
Issue
2
First Page
287
Last Page
302
Publication Type
Accepted Manuscript
Access Rights
open access
Related DOI
Related DOI
MHF Preprint Series, Kyushu University ; 2004-4
Related DOI
Journal of the Japan Statistical Society || 35(2) || p287-302
http://www.math.kyushu-u.ac.jp/gakufu/
Related URI
Journal of the Japan Statistical Society || 35(2) || p287-302
http://www.math.kyushu-u.ac.jp/gakufu/
Related URI
isIdenticalTo
http://www.scipress.org/journals/jjss/abstract/3502/35020287.html
Related HDL
Relation
MHF Preprint Series, Kyushu University ; 2004-4
Journal of the Japan Statistical Society || 35(2) || p287-302
http://www.math.kyushu-u.ac.jp/gakufu/
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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pdf 2004-4 pdf 185 KB 155 Preprint

Details

Record ID
11829
Peer-Reviewed
Refereed
Related URI
http://www.scipress.org/journals/jjss/abstract/3502/35020287.html
Subject Terms
Chaotic dynamical system
correlation dimension
Nadaraya-Watson Kernel Type Estimator
U-statistics
ISSN
0389-5602
NCID
AA1105098X
Notes
Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionality
九州大学21世紀COEプログラム「機能数理学の構築と展開」
Type
学術雑誌論文
Created Date 2009.04.22
Modified Date 2020.11.27