Non-linear dependence and Granger causality: A vine copula approach

Fuente: arXiv
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Auteurs principaux: Fuentes-Martínez, Roberto, Crimaldi, Irene, Rungi, Armando
Format: Preprint
Publié: 2024
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author Fuentes-Martínez, Roberto
Crimaldi, Irene
Rungi, Armando
author_facet Fuentes-Martínez, Roberto
Crimaldi, Irene
Rungi, Armando
contents Inspired by Jang et al. (2022), we propose a Granger causality-in-the-mean test for bivariate $k-$Markov stationary processes based on a recently introduced class of non-linear models, i.e., vine copula models. By means of a simulation study, we show that the proposed test improves on the statistical properties of the original test in Jang et al. (2022), and also of other previous methods, constituting an excellent tool for testing Granger causality in the presence of non-linear dependence structures. Finally, we apply our test to study the pairwise relationships between energy consumption, GDP and investment in the U.S. and, notably, we find that Granger-causality runs two ways between GDP and energy consumption.
format Preprint
id arxiv_https___arxiv_org_abs_2409_15070
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Non-linear dependence and Granger causality: A vine copula approach
Fuentes-Martínez, Roberto
Crimaldi, Irene
Rungi, Armando
Econometrics
Methodology
Inspired by Jang et al. (2022), we propose a Granger causality-in-the-mean test for bivariate $k-$Markov stationary processes based on a recently introduced class of non-linear models, i.e., vine copula models. By means of a simulation study, we show that the proposed test improves on the statistical properties of the original test in Jang et al. (2022), and also of other previous methods, constituting an excellent tool for testing Granger causality in the presence of non-linear dependence structures. Finally, we apply our test to study the pairwise relationships between energy consumption, GDP and investment in the U.S. and, notably, we find that Granger-causality runs two ways between GDP and energy consumption.
title Non-linear dependence and Granger causality: A vine copula approach
topic Econometrics
Methodology
url https://arxiv.org/abs/2409.15070