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A new unit root test against ESTAR based on a class of modified statistics

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  • Robinson Kruse

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Abstract

This paper proposes a new unit root test against a non-linear exponential smooth transition autoregressive (ESTAR) model. The new test is build upon the non-standard testing approach of Abadir and Distaso (2007) who introduce a class of modified statistics for testing joint hypotheses when one of the alternatives is one-sided. In a Monte Carlo study the popular Dickey-Fuller type test proposed by Kapetanios et al. (2003) is compared with the new test. The results suggest that the new test is generally superior in terms of power. An application to a real effective exchange rate underlines its usefulness.

(This abstract was borrowed from another version of this item.)

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File URL: http://hdl.handle.net/10.1007/s00362-009-0204-1
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Bibliographic Info

Article provided by Springer in its journal Statistical Papers.

Volume (Year): 52 (2011)
Issue (Month): 1 (February)
Pages: 71-85

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Handle: RePEc:spr:stpapr:v:52:y:2011:i:1:p:71-85

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Web page: http://www.springer.com/statistics/business/journal/362

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Related research

Keywords: Unit root test; Nonlinearities; Smooth transition; Nonstandard testing; Real effective exchange rates;

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References

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  1. Rothe, Christoph & Sibbertsen, Philipp, 2005. "Phillips-Perron-type unit root tests in the nonlinear ESTAR framework," Hannover Economic Papers (HEP) dp-315, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  2. K Abadir & W Distaso, . "Testing joint hypotheses when one of the alternatives is one-sided," Discussion Papers 05/13, Department of Economics, University of York.
  3. n/a, 2001. "Balance of payments prospects in EMU," NIESR Discussion Papers 164, National Institute of Economic and Social Research.
  4. Sarantis, Nicholas, 1999. "Modeling non-linearities in real effective exchange rates," Journal of International Money and Finance, Elsevier, vol. 18(1), pages 27-45, January.
  5. Sercu, Piet & Uppal, Raman & Van Hulle, Cynthia, 1995. " The Exchange Rate in the Presence of Transaction Costs: Implications for Tests of Purchasing Power Parity," Journal of Finance, American Finance Association, vol. 50(4), pages 1309-19, September.
  6. Taylor, Mark P & Peel, David A & Sarno, Lucio, 2001. "Nonlinear Mean-Reversion in Real Exchange Rates: Toward a Solution to the Purchasing Power Parity Puzzles," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 1015-42, November.
  7. Hansen, Bruce E., 1992. "Convergence to Stochastic Integrals for Dependent Heterogeneous Processes," Econometric Theory, Cambridge University Press, vol. 8(04), pages 489-500, December.
  8. Peter C. B. Phillips & Donggyu Sul, 2003. "Dynamic panel estimation and homogeneity testing under cross section dependence *," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 217-259, 06.
  9. Dumas, Bernard, 1992. "Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World," Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 153-80.
  10. Rapach, David E. & Wohar, Mark E., 2006. "The out-of-sample forecasting performance of nonlinear models of real exchange rate behavior," International Journal of Forecasting, Elsevier, vol. 22(2), pages 341-361.
  11. 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.
  12. Sandberg, Rickard, 2009. "Convergence To Stochastic Power Integrals For Dependent Heterogeneous Processes," Econometric Theory, Cambridge University Press, vol. 25(03), pages 739-747, June.
  13. 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.
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Citations

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Cited by:
  1. Donauer, Stefanie & Heinen, Florian & Sibbertsen, Philipp, 2010. "Identification problems in ESTAR models and a new model," Hannover Economic Papers (HEP) dp-444, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  2. Tsangyao Chang, 2011. "Is Per Capita Real GDP Stationary? An Empirical Note for 16 Transition Countries," International Journal of Business and Economics, College of Business, and College of Finance, Feng Chia University, Taichung, Taiwan, vol. 10(1), pages 81-86, April.
  3. Juan Cuestas & Dean Garratt, 2011. "Is real GDP per capita a stationary process? Smooth transitions, nonlinear trends and unit root testing," Empirical Economics, Springer, vol. 41(3), pages 555-563, December.
  4. Aslan, Alper, 2011. "Does natural gas consumption follow a nonlinear path over time? Evidence from 50 US States," Renewable and Sustainable Energy Reviews, Elsevier, vol. 15(9), pages 4466-4469.
  5. Gozbasi, Onur & Kucukkaplan, Ilhan & Nazlioglu, Saban, 2014. "Re-examining the Turkish stock market efficiency: Evidence from nonlinear unit root tests," Economic Modelling, Elsevier, vol. 38(C), pages 381-384.
  6. Peter Martey Addo & Monica Billio & Dominique Guegan, 2011. "A New Modelling Test: The Univariate MT-STAR Model," Documents de travail du Centre d'Economie de la Sorbonne 11083r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Aug 2013.
  7. Tsangyao Chang & Chia-Hao Lee & Pei-I Chou, 2012. "Is per capita real GDP stationary in five southeastern European countries? Fourier unit root test," Empirical Economics, Springer, vol. 43(3), pages 1073-1082, December.
  8. Cuestas, Juan Carlos & Regis, Paulo José, 2013. "Purchasing power parity in OECD countries: Nonlinear unit root tests revisited," Economic Modelling, Elsevier, vol. 32(C), pages 343-346.
  9. repec:hal:journl:halshs-00659158 is not listed on IDEAS
  10. Vasudeva Murthy, 2012. "A Time-Series Investigation of the U.S. Real Health Expenditure: Evidence from Nonlinear Unit Root Tests," International Advances in Economic Research, Springer, vol. 18(4), pages 429-438, November.
  11. Cuestas, Juan C. & Gil-Alana, Luis A. & Staehr, Karsten, 2011. "A further investigation of unemployment persistence in European transition economies," Journal of Comparative Economics, Elsevier, vol. 39(4), pages 514-532.
  12. Robinson Kruse & Michael Frömmel & Lukas Menkhoff & Philipp Sibbertsen, 2012. "What do we know about real exchange rate nonlinearities?," Empirical Economics, Springer, vol. 43(2), pages 457-474, October.
  13. Christoph Hanck, 2012. "Multiple unit root tests under uncertainty over the initial condition: some powerful modifications," Statistical Papers, Springer, vol. 53(3), pages 767-774, August.
  14. Russell Smyth, 2012. "Are fluctuations in energy variables permanent or transitory? A survey of the literature on the integration properties of energy consumption and production," Development Research Unit Working Paper Series 04-12, Monash University, Department of Economics.
  15. Barros, Carlos Pestana & Gil-Alana, Luis A. & Payne, James E., 2013. "U.S. Disaggregated renewable energy consumption: Persistence and long memory behavior," Energy Economics, Elsevier, vol. 40(C), pages 425-432.
  16. Emmanuel Anoruo & Vasudeva N.R. Murthy, 2014. "Testing Nonlinear Inflation Convergence for the Central African Economic and Monetary Community," International Journal of Economics and Financial Issues, Econjournals, vol. 4(1), pages 1-7.
  17. repec:hal:cesptp:halshs-00659158 is not listed on IDEAS
  18. Peter Martey Addo & Monica Billio & Dominique Guegan, 2011. "A test for a new modelling: The Univariate MT-STAR Model," Documents de travail du Centre d'Economie de la Sorbonne 11083, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  19. Chen, Shyh-Wei, 2014. "Smooth transition, non-linearity and current account sustainability: Evidence from the European countries," Economic Modelling, Elsevier, vol. 38(C), pages 541-554.
  20. Niels Haldrup & Robinson Kruse & Timo Teräsvirta & Rasmus T. Varneskov, 2012. "Unit roots, nonlinearities and structural breaks," CREATES Research Papers 2012-14, School of Economics and Management, University of Aarhus.

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