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Testing for Granger causality using a partial coherence statistic

delete2023-12-01
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OA
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L
Louis L. Scharf
Y
Yuan Wang *
DOI:10.1016/j.sigpro.2023.109190delete
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Abstract

Abstract

En 中文
In this paper, partial coherence is used to evaluate Granger-Geweke (GG) causality of one signal sequence on another. The key idea is to establish a connection between questions of GG causality and questions of partial coherence. Once this connection is established, then a scale-invariant partial coherence statistic is used to resolve the question of GG causality. This coherence statistic is shown to be a likelihood ratio, and its null distribution is shown to be a Wilks Lambda. Numerical experiments demonstrate the application of partial coherence to the resolution of Granger causal influence. Importantly, the method depends on no generative model for causality.
Keywords:
Granger causality
Partial coherence
Likelihood ratio test
Wilks lambda
Receiver operating characteristic
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Signal Processing cover
Signal Processing
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3.6
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Colorado State University System
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colorado state university fort collins
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