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A Nonlinear Panel Unit Root Test under Cross Section Dependence

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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.

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Paper provided by Scottish Institute for Research in Economics (SIRE) in its series SIRE Discussion Papers with number 2011-30.

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Date of creation: 2011
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Handle: RePEc:edn:sirdps:271

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Keywords: Nonlinear panel unit root tests; cross sectional dependence;

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  1. 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.
  2. M. Hashem Pesaran & Elisa Tosetti, 2011. "Large panels with common factors and spatial correlation," Post-Print hal-00796743, HAL.
  3. 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 627-45, 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. Davide Fiaschi & Andrea Mario Lavezzi, 2003. "Nonlinear Economic Growth: Some Theory and Cross-Country Evidence," Discussion Papers 2003/14, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
  6. 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 862-79, August.
  7. 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.
  8. Peretto, Pietro F., 1999. "Industrial development, technological change, and long-run growth," Journal of Development Economics, Elsevier, vol. 59(2), pages 389-417, August.
  9. Galor, Oded & Weil, David, 1998. "Population, Technology and Growth: From the Malthusian Regime to the Demographic Transition," CEPR Discussion Papers 1981, C.E.P.R. Discussion Papers.
  10. Pasaran, M.H. & Im, K.S. & Shin, Y., 1995. "Testing for Unit Roots in Heterogeneous Panels," Cambridge Working Papers in Economics 9526, Faculty of Economics, University of Cambridge.
  11. Frank, Murray & Gencay, Ramazan & Stengos, Thanasis, 1988. "International chaos?," European Economic Review, Elsevier, vol. 32(8), pages 1569-1584, October.
  12. 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.
  13. n/a, 2001. "Balance of payments prospects in EMU," NIESR Discussion Papers 164, National Institute of Economic and Social Research.
  14. 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.
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Cited by:
  1. Akhmedjonov, Alisher & Lau, Chi Keung, 2012. "Do energy prices converge across Russian regions?," Economic Modelling, Elsevier, vol. 29(5), pages 1623-1631.
  2. Chi-Keung Lau, 2010. "Convergence Across the United States: Evidence from Panel ESTAR Unit Root Test," International Advances in Economic Research, Springer, vol. 16(1), pages 52-64, February.
  3. Matteo Lanzafame, 2006. "The Nature of Regional Unemployment in Italy," ERSA conference papers ersa06p155, European Regional Science Association.
  4. Shu-Ling Chen & Hyeongwoo Kim, 2011. "Nonlinear Mean Reversion across National Stock Markets: Evidence from Emerging Asian Markets," International Economic Journal, Taylor & Francis Journals, vol. 25(2), pages 239-250.
  5. Barry Harrison & Winston Moore, 2010. "Nonlinearities in Stock Returns for Some Recent Entrants to the EU," Working Papers 2010/1, Nottingham Trent University, Nottingham Business School, Economics Division.
  6. Lau, Chi Keung Marco & Suvankulov, Farrukh & Su, Yongyang & Chau, Frankie, 2012. "Some cautions on the use of nonlinear panel unit root tests: Evidence from a modified series-specific non-linear panel unit-root test," Economic Modelling, Elsevier, vol. 29(3), pages 810-816.
  7. LAU, Chi Keung Marco, 2010. "New evidence about regional income divergence in China," China Economic Review, Elsevier, vol. 21(2), pages 293-309, June.
  8. Giray Gozgor, 2013. "Testing Unemployment Persistence in Central and Eastern European Countries," International Journal of Economics and Financial Issues, Econjournals, vol. 3(3), pages 694-700.
  9. Lanzafame, Matteo, 2012. "Current account sustainability in advanced economies," MPRA Paper 42384, University Library of Munich, Germany.
  10. M. J. Herrerias & Javier Ordoñez, 2011. "New Evidence on the Role of Regional Clusters and Convergence in China (1952-2008)," Working Papers 2011/07, Economics Department, Universitat Jaume I, Castellón (Spain).
  11. Lau, Chi Keung Marco & Chau, Frankie & Deesomsak, Rataporn, 2011. "Panel Unit Root Test with Nonlinear Mean Reversion and Smooth Breaks," MPRA Paper 53602, University Library of Munich, Germany.
  12. Mario Cerrato & Christian de Peretti & Chris Stewart, 2008. "Is the consumption-income ratio stationary? Evidence from a nonlinear panel unit root test for OECD and non-OECD countries," Working Papers 2008_27, Business School - Economics, University of Glasgow.
  13. Cushman, David O. & Michael, Nils, 2011. "Nonlinear trends in real exchange rates: A panel unit root test approach," Journal of International Money and Finance, Elsevier, vol. 30(8), pages 1619-1637.
  14. Lau, Marco Chi Keung & Fung, Ka Wai Terence, 2013. "Convergence in Health Care Expenditure of 14 EU Countries: New Evidence from Non-linear Panel Unit Root Test," MPRA Paper 52871, University Library of Munich, Germany.

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