Quantile Granger Causality in the Presence of Instability

Fuente: arXiv
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Autori principali: Mayer, Alexander, Wied, Dominik, Troster, Victor
Natura: Preprint
Pubblicazione: 2024
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author Mayer, Alexander
Wied, Dominik
Troster, Victor
author_facet Mayer, Alexander
Wied, Dominik
Troster, Victor
contents We propose a new framework for assessing Granger causality in quantiles in unstable environments, for a fixed quantile or over a continuum of quantile levels. Our proposed test statistics are consistent against fixed alternatives, they have nontrivial power against local alternatives, and they are pivotal in certain important special cases. In addition, we show the validity of a bootstrap procedure when asymptotic distributions depend on nuisance parameters. Monte Carlo simulations reveal that the proposed test statistics have correct empirical size and high power, even in absence of structural breaks. Moreover, a procedure providing additional insight into the timing of Granger causal regimes based on our new tests is proposed. Finally, an empirical application in energy economics highlights the applicability of our method as the new tests provide stronger evidence of Granger causality.
format Preprint
id arxiv_https___arxiv_org_abs_2402_09744
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantile Granger Causality in the Presence of Instability
Mayer, Alexander
Wied, Dominik
Troster, Victor
Econometrics
We propose a new framework for assessing Granger causality in quantiles in unstable environments, for a fixed quantile or over a continuum of quantile levels. Our proposed test statistics are consistent against fixed alternatives, they have nontrivial power against local alternatives, and they are pivotal in certain important special cases. In addition, we show the validity of a bootstrap procedure when asymptotic distributions depend on nuisance parameters. Monte Carlo simulations reveal that the proposed test statistics have correct empirical size and high power, even in absence of structural breaks. Moreover, a procedure providing additional insight into the timing of Granger causal regimes based on our new tests is proposed. Finally, an empirical application in energy economics highlights the applicability of our method as the new tests provide stronger evidence of Granger causality.
title Quantile Granger Causality in the Presence of Instability
topic Econometrics
url https://arxiv.org/abs/2402.09744