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A CONSISTENT NONPARAMETRIC TEST FOR CAUSALITY IN QUANTILE

Jeong, Kiho, Härdle, Wolfgang K., Song, Song·2012·Econometric Theory

Abstract

This paper proposes a nonparametric test of Granger causality in quantile. Zheng (1998, Econometric Theory 14, 123–138) studied the idea to reduce the problem of testing a quantile restriction to a problem of testing a particular type of mean restriction in independent data. We extend Zheng’s approach to the case of dependent data, particularly to the test of Granger causality in quantile. Combining the results of Zheng (1998) and Fan and Li (1999, Journal of Nonparametric Statistics 10, 245–271), we establish the asymptotic normal distribution of the test statistic under a β-mixing process. The test is consistent against all fixed alternatives and detects local alternatives approaching the null at proper rates. Simulations are carried out to illustrate the behavior of the test under the null and also the power of the test under plausible alternatives. An economic application considers the causal relations between the crude oil price, the USD/GBP exchange rate, and the gold price in the gold market.

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Metadata

Authors
Jeong, K., Härdle, W. K., & Song, S.
Venue
Econometric Theory
Published
2012-01-19
Volume
28
Issue
4
Pages
861-887
ISSN
  • 0266-4666 (ISSN-L)
  • 1469-4360
OpenAlex
W1897029126
Cited by
488
References
4
FWCI
5.39
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: A CONSISTENT NONPARAMETRIC TEST FOR CAUSALITY IN QUANTILE. https://app.cochat.ai/papers/10.1017/s0266466611000685
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Jeong, K., Härdle, W. K., & Song, S. (2012). A CONSISTENT NONPARAMETRIC TEST FOR CAUSALITY IN QUANTILE. Econometric Theory. https://doi.org/10.1017/s0266466611000685

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