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Nonlinear Granger Causality: Guidelines for Multivariate Analysis

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  • Diks, C.G.H.

    () (University of Amsterdam)

  • Wolski, M.

    () (University of Amsterdam)

Abstract

In this paper we propose an extension of the nonparametric Granger causality test, originally introduced by Diks and Panchenko [2006. A new statistic and practical guidelines for nonparametric Granger causality testing. Journal of Economic Dynamics \& Control 30, 1647-1669]. We show that the basic test statistics lacks consistency in the multivariate setting. The problem is the result of the kernel density estimator bias, which does not converge to zero at a sufficiently fast rate when the number of conditioning variables is larger than one. In order to overcome this difficulty we apply the data-sharpening method for bias reduction. We then derive the asymptotic properties of the `sharpened' test statistics and we investigate its performance numerically. We conclude with an empirical application to the US grain market.

Suggested Citation

  • Diks, C.G.H. & Wolski, M., 2013. "Nonlinear Granger Causality: Guidelines for Multivariate Analysis," CeNDEF Working Papers 13-15, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    • Handle: RePEc:ams:ndfwpp:13-15
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    References listed on IDEAS

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    1. Granger, C W J, 1969. "Investigating Causal Relations by Econometric Models and Cross-Spectral Methods," Econometrica, Econometric Society, vol. 37(3), pages 424-438, July.
    2. Christopher L. Gilbert, 2010. "How to Understand High Food Prices," Journal of Agricultural Economics, Wiley Blackwell, vol. 61(2), pages 398-425, June.
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    4. Diks, Cees & Panchenko, Valentyn, 2006. "A new statistic and practical guidelines for nonparametric Granger causality testing," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1647-1669.
    5. Popp, Michael P. & Dillon, Carl R. & Keisling, Terry C., 2003. "Economic and weather influences on soybean planting strategies on heavy soils," Agricultural Systems, Elsevier, vol. 76(3), pages 969-984, June.
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    Cited by:

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    2. Lien, Donald & Lee, Geul & Yang, Li & Zhang, Yuyin, 2018. "Volatility spillovers among the U.S. and Asian stock markets: A comparison between the periods of Asian currency crisis and subprime credit crisis," The North American Journal of Economics and Finance, Elsevier, vol. 46(C), pages 187-201.
    3. Jena, Sangram Keshari & Tiwari, Aviral Kumar & Hammoudeh, Shawkat & Roubaud, David, 2019. "Distributional predictability between commodity spot and futures: Evidence from nonparametric causality-in-quantiles tests," Energy Economics, Elsevier, vol. 78(C), pages 615-628.
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    7. Guochang Wang & Wai Keung Li & Ke Zhu, 2018. "New HSIC-based tests for independence between two stationary multivariate time series," Papers 1804.09866, arXiv.org.
    8. Stolbov, Mikhail & Shchepeleva, Maria, 2020. "Systemic risk, economic policy uncertainty and firm bankruptcies: Evidence from multivariate causal inference," Research in International Business and Finance, Elsevier, vol. 52(C).
    9. Ren, Weijie & Li, Baisong & Han, Min, 2020. "A novel Granger causality method based on HSIC-Lasso for revealing nonlinear relationship between multivariate time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
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    11. Zheng Fang & Jiang Yu, 2020. "The role of human capital in energy-growth nexus: an international evidence," Empirical Economics, Springer, vol. 58(3), pages 1225-1247, March.
    12. Ahmed, Ali & Granberg, Mark & Troster, Victor & Uddin, Gazi Salah, 2020. "Asymmetric Dynamics between Uncertainty and Unemployment Flows in the United States," LiU Working Papers in Economics 7, Linköping University, Division of Economics, Department of Management and Engineering.
    13. Le, Thai-Ha & Nguyen, Canh Phuc, 2019. "Is energy security a driver for economic growth? Evidence from a global sample," Energy Policy, Elsevier, vol. 129(C), pages 436-451.
    14. Katleho Makatjane & Ntebogang Moroke & Diteboho Xaba, 2017. "Threshold Cointegration and Nonlinear Causality test between Inflation Rate and Repo Rate," Journal of Economics and Behavioral Studies, AMH International, vol. 9(3), pages 163-170.
    15. Wolski, Marcin, 2018. "Sovereign risk and corporate cost of borrowing: Evidence from a counterfactual study," EIB Working Papers 2018/05, European Investment Bank (EIB).
    16. Bu, Hui & Tang, Wenjin & Wu, Junjie, 2019. "Time-varying comovement and changes of comovement structure in the Chinese stock market: A causal network method," Economic Modelling, Elsevier, vol. 81(C), pages 181-204.
    17. Troster, Victor & Bouri, Elie & Roubaud, David, 2019. "A quantile regression analysis of flights-to-safety with implied volatilities," Resources Policy, Elsevier, vol. 62(C), pages 482-495.

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