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A Powerful Test for Linearity When the Order of Integration is Unknown

Author

Listed:
  • Harvey David I

    () (University of Nottingham)

  • Leybourne Stephen J

    () (University of Nottingham)

  • Xiao Bin

    () (University of Nottingham)

Abstract

In this paper we propose a test of the null hypothesis of time series linearity against a nonlinear alternative, when uncertainty exists as to whether or not the series contains a unit root. We provide a test statistic that has the same limiting null critical values regardless of whether the series under consideration is generated from a linear I(0) or linear I(1) process, and is consistent against nonlinearity of either form, being asymptotically equivalent to the efficient test in each case. Finite sample simulations show that the new procedure has better size control and offers substantial power gains over the recently proposed robust linearity test of Harvey and Leybourne (2007).

Suggested Citation

  • Harvey David I & Leybourne Stephen J & Xiao Bin, 2008. "A Powerful Test for Linearity When the Order of Integration is Unknown," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 12(3), pages 1-24, September.
  • Handle: RePEc:bpj:sndecm:v:12:y:2008:i:3:n:2
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    References listed on IDEAS

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    Cited by:

    1. Burak GÜRIŞ & İpek M. YURTTAGÜLER & Muhammed TIRAŞOĞLU, 2017. "Unemployment convergence analysis for Nordic countries: Evidence from linear and nonlinear unit root tests," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania - AGER, vol. 0(1(610), S), pages 45-56, Spring.
    2. 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.
    3. 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.
    4. Silva Lopes, Artur C. & Florin Zsurkis, Gabriel, 2017. "Are linear models really unuseful to describe business cycle data?," MPRA Paper 79413, University Library of Munich, Germany.
    5. 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.
    6. Golpe, Antonio A. & Carmona, Monica & Congregado, Emilio, 2012. "Persistence in natural gas consumption in the US: An unobserved component model," Energy Policy, Elsevier, vol. 46(C), pages 594-600.
    7. Burak GÜRIŞ & İpek M. YURTTAGÜLER & Muhammed TIRAŞOĞLU, 2017. "Unemployment convergence analysis for Nordic countries: Evidence from linear and nonlinear unit root tests," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania - AGER, vol. 0(1(610), S), pages 45-56, Spring.
    8. Lopes, Artur Silva & Zsurkis, Gabriel Florin, 2017. "Are linear models really unuseful to describe business cycle data?," Economics Discussion Papers 2017-5, Kiel Institute for the World Economy (IfW).
    9. Yavuz, Nilgün Çil & Yilanci, Veli, 2012. "Testing For Nonlinearity In G7 Macroeconomic Time Series," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(3), pages 69-79, September.
    10. Solarin, Sakiru Adebola & Lean, Hooi Hooi, 2016. "Are fluctuations in oil consumption permanent or transitory? Evidence from linear and nonlinear unit root tests," Energy Policy, Elsevier, vol. 88(C), pages 262-270.
    11. Burak Güriş & Burcu Yavuz Tiftikçigil & Muhammed Tıraşoğlu, 2017. "Testing for unemployment hysteresis in Turkey: evidence from nonlinear unit root tests," Quality & Quantity: International Journal of Methodology, Springer, vol. 51(1), pages 35-46, January.
    12. Tiwari, Aviral Kumar & Albulescu, Claudiu Tiberiu, 2016. "Renewable-to-total electricity consumption ratio: Estimating the permanent or transitory fluctuations based on flexible Fourier stationarity and unit root tests," Renewable and Sustainable Energy Reviews, Elsevier, vol. 57(C), pages 1409-1427.
    13. Paulo M.M. Rodrigues & A. M. Robert Taylor, 2009. "The Flexible Fourier Form and Local GLS De-trended Unit Root Tests," Working Papers w200919, Banco de Portugal, Economics and Research Department.
    14. Yoon, Gawon, 2009. "It's all the miners' fault: On the nonlinearity in U.S. unemployment rates," Economic Modelling, Elsevier, vol. 26(6), pages 1449-1454, November.
    15. Chen, Shyh-Wei & Hsu, Chi-Sheng, 2016. "Threshold, smooth transition and mean reversion in inflation: New evidence from European countries," Economic Modelling, Elsevier, vol. 53(C), pages 23-36.
    16. repec:agr:journl:v:xxiv:y:2017:i:2(611):p:237-248 is not listed on IDEAS
    17. Shahbaz, Muhammad & Khraief, Naceur & Mahalik, Mantu Kumar & Zaman, Khair Uz, 2014. "Are fluctuations in natural gas consumption per capita transitory? Evidence from time series and panel unit root tests," Energy, Elsevier, vol. 78(C), pages 183-195.
    18. Aslan, Alper & Kum, Hakan, 2011. "The stationary of energy consumption for Turkish disaggregate data by employing linear and nonlinear unit root tests," Energy, Elsevier, vol. 36(7), pages 4256-4258.
    19. Rongguo Yan & Lingxiang Zhang, 2016. "Linearity tests under the null hypothesis of a random walk with drift," Statistical Papers, Springer, vol. 57(2), pages 407-418, April.
    20. Yunus Kilic & Mehmet Fatih Bugan, 2016. "The Efficient Market Hypothesis: Evidence from Turkey," International Journal of Academic Research in Business and Social Sciences, Human Resource Management Academic Research Society, International Journal of Academic Research in Business and Social Sciences, vol. 6(10), pages 262-272, October.
    21. 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.
    22. Silva Lopes, Artur C. & Florin Zsurkis, Gabriel, 2015. "Revisiting non-linearities in business cycles around the world," MPRA Paper 65668, University Library of Munich, Germany.
    23. De Vita, Glauco & Trachanas, Emmanouil, 2016. "‘Nonlinear causality between crude oil price and exchange rate: A comparative study of China and India’ — A failed replication (negative Type 1 and Type 2)," Energy Economics, Elsevier, vol. 56(C), pages 150-160.

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