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29 March 2024
 
  » arxiv » nlin.CD/0405016

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Analyzing Multiple Nonlinear Time Series with Extended Granger Causality
Yonghong Chen ; Govindan Rangarajan ; Jianfeng Feng ; Mingzhou Ding ;
Date 8 May 2004
Journal Physics Letters A, v. 324, 26-35 (2004)
Subject Chaotic Dynamics; Data Analysis, Statistics and Probability; Statistics | nlin.CD math.ST physics.data-an
AbstractIdentifying causal relations among simultaneously acquired signals is an important problem in multivariate time series analysis. For linear stochastic systems Granger proposed a simple procedure called the Granger causality to detect such relations. In this work we consider nonlinear extensions of Granger’s idea and refer to the result as Extended Granger Causality. A simple approach implementing the Extended Granger Causality is presented and applied to multiple chaotic time series and other types of nonlinear signals. In addition, for situations with three or more time series we propose a conditional Extended Granger Causality measure that enables us to determine whether the causal relation between two signals is direct or mediated by another process.
Source arXiv, nlin.CD/0405016
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