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A simple nonstationary-volatility robust panel unit root test

Author

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  • Demetrescu, Matei
  • Hanck, Christoph

Abstract

We propose an IV panel unit root test robust to nonstationary error volatility. Its finite-sample performance is convincing even for many units and strong cross-correlation. An application to GDP prices illustrates the inferential impact of nonstationary volatility.

Suggested Citation

  • Demetrescu, Matei & Hanck, Christoph, 2012. "A simple nonstationary-volatility robust panel unit root test," Economics Letters, Elsevier, vol. 117(1), pages 10-13.
  • Handle: RePEc:eee:ecolet:v:117:y:2012:i:1:p:10-13
    DOI: 10.1016/j.econlet.2012.04.067
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    References listed on IDEAS

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    1. Ledoit, Olivier & Wolf, Michael, 2004. "A well-conditioned estimator for large-dimensional covariance matrices," Journal of Multivariate Analysis, Elsevier, vol. 88(2), pages 365-411, February.
    2. Kristian Jönsson, 2005. "Cross-sectional Dependency and Size Distortion in a Small-sample Homogeneous Panel Data Unit Root Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(3), pages 369-392, June.
    3. Matei Demetrescu & Uwe Hassler & Adina-Ioana Tarcolea, 2006. "Combining Significance of Correlated Statistics with Application to Panel Data," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(5), pages 647-663, October.
    4. Moon, H.R.Hyungsik Roger & Perron, Benoit, 2004. "Testing for a unit root in panels with dynamic factors," Journal of Econometrics, Elsevier, vol. 122(1), pages 81-126, September.
    5. M. Hashem Pesaran, 2007. "A simple panel unit root test in the presence of cross-section dependence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 265-312.
    6. Jörg Breitung & Samarjit Das, 2005. "Panel unit root tests under cross-sectional dependence," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 59(4), pages 414-433.
    7. So, Beong Soo & Shin, Dong Wan, 1999. "Cauchy Estimators For Autoregressive Processes With Applications To Unit Root Tests And Confidence Intervals," Econometric Theory, Cambridge University Press, vol. 15(02), pages 165-176, April.
    8. Shin, Dong Wan & Kang, Seungho, 2006. "An instrumental variable approach for panel unit root tests under cross-sectional dependence," Journal of Econometrics, Elsevier, vol. 134(1), pages 215-234, September.
    9. Hanck, Christoph, 2008. "The Error-in-Rejection Probability of meta-analytic panel tests," Economics Letters, Elsevier, vol. 101(1), pages 27-30, October.
    10. Hamori, Shigeyuki & Tokihisa, Akira, 1997. "Testing for a unit root in the presence of a variance shift1," Economics Letters, Elsevier, vol. 57(3), pages 245-253, December.
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    Citations

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    Cited by:

    1. Herwartz, Helmut & Maxand, Simone & Walle, Yabibal M., 2017. "Heteroskedasticity-robust unit root testing for trending panels," Center for European, Governance and Economic Development Research Discussion Papers 314, University of Goettingen, Department of Economics.
    2. Ledoit, Olivier & Wolf, Michael, 2015. "Spectrum estimation: A unified framework for covariance matrix estimation and PCA in large dimensions," Journal of Multivariate Analysis, Elsevier, vol. 139(C), pages 360-384.
    3. Yabibal M. Walle, 2014. "Revisiting the Finance–Growth Nexus in Sub-Saharan Africa: Results from Error Correction-based Panel Cointegration Tests," African Development Review, African Development Bank, vol. 26(2), pages 310-321, June.
    4. Herwartz, Helmut & Walle, Yabibal M., 2014. "Openness and the finance-growth nexus," Journal of Banking & Finance, Elsevier, vol. 48(C), pages 235-247.
    5. Herwartz, Helmut & Theilen, Bernd, 2014. "Partisan influence on social spending under market integration, fiscal pressure and institutional change," European Journal of Political Economy, Elsevier, vol. 34(C), pages 409-424.

    More about this item

    Keywords

    I(1) series; Time-varying volatility; Cross-dependent panel; Nonlinear IV;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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