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Granger causality inthe frequency domain:derivation andapplications Vinícius LimaFernanda Jaiara DellajustinaRenan O. Shimoura2020 год

Granger causality in the frequency domain: derivation and applications
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Аннотация: Physicists are starting to work in areas where noisy signal analysis is required. In these fields, such as Economics, Neuroscience, and Physics, the notion of causality should be interpreted as a statistical measure. We introduce to the lay reader the Granger causality between two time series and illustrate ways of calculating it: a signal $X$ ``Granger-causes'' a signal $Y$ if the observation of the past of $X$ increases the predictability of the future of $Y$ when compared to the same prediction done with the past of $Y$ alone. In other words, for Granger causality between two quantities it suffices that information extracted from the past of one of them improves the forecast of the future of the other, even in the absence of any physical mechanism of interaction. We present derivations of the Granger causality measure in the time and frequency domains and give numerical examples using a non-parametric estimation method in the frequency domain. Parametric methods are addressed in the Appendix. We discuss the limitations and applications of this method and other alternatives to measure causality.
Год издания: 2020
Авторы: Vinícius Lima, Fernanda Jaiara Dellajustina, Renan O. Shimoura, Mauricio Girardi‐Schappo, Nilton L. Kamiji, Rodrigo F. O. Pena, Antônio C. Roque
Издательство: Brazilian Society of Physics
Источник: Revista Brasileira de Ensino de Física
Ключевые слова: Control Systems and Identification, Neural Networks and Applications, Statistical Mechanics and Entropy
Другие ссылки: Revista Brasileira de Ensino de Física (PDF)
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arXiv (Cornell University) (PDF)
arXiv (Cornell University) (HTML)
LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) (PDF)
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arXiv (Cornell University) (PDF)
arXiv (Cornell University) (HTML)
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