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Quantile Granger Causality in the Presence of Instability

Alexander Mayer, Dominik Wied, Victor Troster

arXiv 15 Feb 2024 · Econometrics · publishedJournal of Econometrics (2025) · 6 citations (OpenAlex)

arXiv:2402.09744 · PDF · DOI · OpenAlex · Extracted main text

Abstract

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.

Citation extraction

46
references
90
in-text mentions
46
distinct cited
2
self-citations
12,615
main-text words

appendix boundary found by appendix_command · 83% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Rossi, B (2005) Optimal Tests for Nested Model Selection with Underlying Parameter Instability1.00093100%
2Qu, Z (2008) Testing for Structural Change in Regression Quantiles0.8749367%
3Ding, H., H.-G. Kim, and S. Y. Park (2016) Crude Oil and Stock Markets: Causal Relationships in Tails?0.87482100%
4Oka, T. and Z. Qu (2011) Estimating Structural Changes in Regression Quantiles0.87452100%
5Koenker, R. and J. A. F. Machado (1999) Goodness of Fit and Related Inference Processes for Quantile Regression0.8434375%
6Rothe, C. and D. Wied (2013) Misspecification Testing in a Class of Conditional Distributional Models0.7373367%
7Koenker, R (2005) Quantile Regression0.73732100%
8Sowell, F (1996) Optimal Tests for Parameter Instability in the Generalized Method of Moments Framework0.73732100%
9Troster, V (2018) Testing for Granger-Causality in Quantiles self0.64422100%
10Wied, D., W. Krämer, and H. Dehling (2012) Testing for a change in correlation at an unknown point in time using an extended functional delta method self0.64422100%

Showing the top 10 of 46 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Local Gaussian copula inference with structural breaks: testing dependence predictability0.92844