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A Nonlinear Panel Unit Root Test under Cross Section Dependence

Author

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  • Cerrato, Mario
  • de Peretti, Christian
  • Larsson, Rolf
  • Sarantis, Nicholas

Abstract

We propose a nonlinear heterogeneous panel unit root test for testing the null hypothesis of unit-roots processes against the alternative that allows a proportion of units to be generated by globally stationary ESTAR processes and a remaining non-zero proportion to be generated by unit root processes. The proposed test is simple to implement and accommodates cross sectional dependence. We show that the distribution of the test statistic is free of nuisance parameters as (N, T) −! 1. Monte Carlo simulation shows that our test holds correct size and under the hypothesis that data are generated by globally stationary ESTAR processes has a better power than the recent test proposed in Pesaran [2007]. Various applications are provided.

Suggested Citation

  • Cerrato, Mario & de Peretti, Christian & Larsson, Rolf & Sarantis, Nicholas, 2011. "A Nonlinear Panel Unit Root Test under Cross Section Dependence," SIRE Discussion Papers 2011-30, Scottish Institute for Research in Economics (SIRE).
  • Handle: RePEc:edn:sirdps:271
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    File URL: http://hdl.handle.net/10943/271
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    References listed on IDEAS

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    1. Cerrato, Mario & Sarantis, Nicholas, 2007. "A bootstrap panel unit root test under cross-sectional dependence, with an application to PPP," Computational Statistics & Data Analysis, Elsevier, vol. 51(8), pages 4028-4037, May.
    2. Balke, Nathan S & Fomby, Thomas B, 1997. "Threshold Cointegration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 627-645, August.
    3. Michael, Panos & Nobay, A Robert & Peel, David A, 1997. "Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 862-879, August.
    4. Choi, In, 2001. "Unit root tests for panel data," Journal of International Money and Finance, Elsevier, vol. 20(2), pages 249-272, April.
    5. Peretto, Pietro F., 1999. "Industrial development, technological change, and long-run growth," Journal of Development Economics, Elsevier, vol. 59(2), pages 389-417, August.
    6. Kapetanios, George & Shin, Yongcheol & Snell, Andy, 2003. "Testing for a unit root in the nonlinear STAR framework," Journal of Econometrics, Elsevier, vol. 112(2), pages 359-379, February.
    7. Oded Galor & David N. Weil, 1998. "Population, Technology, and Growth: From Malthusian Stagnation to the Demographic Transition," Working Papers 98-3, Brown University, Department of Economics, revised 19 Aug 1998.
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    10. Pesaran, M. Hashem & Tosetti, Elisa, 2011. "Large panels with common factors and spatial correlation," Journal of Econometrics, Elsevier, vol. 161(2), pages 182-202, April.
    11. Fiaschi, Davide & Lavezzi, Andrea Mario, 2007. "Nonlinear economic growth: Some theory and cross-country evidence," Journal of Development Economics, Elsevier, vol. 84(1), pages 271-290, September.
    12. Robert B. Davies, 2002. "Hypothesis testing when a nuisance parameter is present only under the alternative: Linear model case," Biometrika, Biometrika Trust, vol. 89(2), pages 484-489, June.
    13. Frank, Murray & Gencay, Ramazan & Stengos, Thanasis, 1988. "International chaos?," European Economic Review, Elsevier, vol. 32(8), pages 1569-1584, October.
    14. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July.
    15. P. Newbold & S. J. Leybourne & R. Sollis & M. E. Wohar, 2001. "U.S. and U.K. Interest Rates 1890 - 1934: New Evidence on Structural Breaks," Trinity Economics Papers 20011, Trinity College Dublin, Department of Economics.
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    More about this item

    Keywords

    Nonlinear panel unit root tests; cross sectional dependence;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • F31 - International Economics - - International Finance - - - Foreign Exchange

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