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A theoretical and simulation analysis on the power of the frequency domain causality test

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  • Wei, Yanfeng
  • Zhang, Liguo
  • Guo, Xiaoying
  • Yang, Ting

Abstract

The power of the frequency domain causality test proposed by Breitung and Candelon (2006) is analyzed. We show that the power of the test is closely related to the root of the VAR model. When the root of the VAR model is near 1 or −1, the test may have a maximal power at the frequencies close to 0 or π.

Suggested Citation

  • Wei, Yanfeng & Zhang, Liguo & Guo, Xiaoying & Yang, Ting, 2021. "A theoretical and simulation analysis on the power of the frequency domain causality test," Statistics & Probability Letters, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:stapro:v:170:y:2021:i:c:s016771522030273x
    DOI: 10.1016/j.spl.2020.108970
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    References listed on IDEAS

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    1. Ciner, Cetin, 2011. "Commodity prices and inflation: Testing in the frequency domain," Research in International Business and Finance, Elsevier, vol. 25(3), pages 229-237, September.
    2. Marc Gronwald, 2009. "Reconsidering the macroeconomics of the oil price in Germany: testing for causality in the frequency domain," Empirical Economics, Springer, vol. 36(2), pages 441-453, May.
    3. Bodart, Vincent & Candelon, Bertrand, 2009. "Evidence of interdependence and contagion using a frequency domain framework," Emerging Markets Review, Elsevier, vol. 10(2), pages 140-150, June.
    4. Beveridge, Stephen & Nelson, Charles R., 1981. "A new approach to decomposition of economic time series into permanent and transitory components with particular attention to measurement of the `business cycle'," Journal of Monetary Economics, Elsevier, vol. 7(2), pages 151-174.
    5. Hiroshi Yamada & Wei Yanfeng, 2014. "Some Theoretical and Simulation Results on the Frequency Domain Causality Test," Econometric Reviews, Taylor & Francis Journals, vol. 33(8), pages 936-947, November.
    6. Breitung, Jorg & Candelon, Bertrand, 2006. "Testing for short- and long-run causality: A frequency-domain approach," Journal of Econometrics, Elsevier, vol. 132(2), pages 363-378, June.
    7. Assenmacher-Wesche, Katrin & Gerlach, Stefan, 2008. "Money growth, output gaps and inflation at low and high frequency: Spectral estimates for Switzerland," Journal of Economic Dynamics and Control, Elsevier, vol. 32(2), pages 411-435, February.
    8. Breitung, Jörg & Schreiber, Sven, 2018. "Assessing causality and delay within a frequency band," Econometrics and Statistics, Elsevier, vol. 6(C), pages 57-73.
    9. Yanfeng Wei, 2015. "The informational role of commodity prices in formulating monetary policy: a reexamination under the frequency domain," Empirical Economics, Springer, vol. 49(2), pages 537-549, September.
    10. Wei, Yanfeng & Guo, Xiaoying, 2016. "An empirical analysis of the relationship between oil prices and the Chinese macro-economy," Energy Economics, Elsevier, vol. 56(C), pages 88-100.
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