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Nonlinearity and Smooth Breaks in Unit Root Testing

Author

Listed:
  • Tolga Omay

    (Cankaya University, Department of Banking and Finance)

  • Dilem Yildirim

    (METU University, Department of Economics)

Abstract

We develop unit root tests that allow under the alternative hypothesis for a smooth transition between deterministic linear trends, around which stationary asymmetric adjustment may occur by employing exponential smooth transition auto-regressive (ESTAR) models The small sample properties of the newly developed test are briefly investigated and an application for investigating the PPP hypothesis for Argentina is provided.

Suggested Citation

  • Tolga Omay & Dilem Yildirim, 2014. "Nonlinearity and Smooth Breaks in Unit Root Testing," Econometrics Letters, Bilimsel Mektuplar Organizasyonu (Scientific letters), vol. 1(1), pages 1-9.
    • Handle: RePEc:bmo:bmoart:v:1:y:2014:i:1:p:1-9
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    References listed on IDEAS

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    1. 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.
    2. Robert Sollis, 2004. "Asymmetric adjustment and smooth transitions: a combination of some unit root tests," Journal of Time Series Analysis, Wiley Blackwell, vol. 25(3), pages 409-417, May.
    3. Omay, Tolga, 2012. "The comparison of optimization algorithms on unit root testing with smooth transition," MPRA Paper 42129, University Library of Munich, Germany.
    4. Stephen Leybourne & Paul Newbold & Dimitrios Vougas, 1998. "Unit roots and smooth transitions," Journal of Time Series Analysis, Wiley Blackwell, vol. 19(1), pages 83-97, January.
    5. Enders, Walter & Granger, Clive W J, 1998. "Unit-Root Tests and Asymmetric Adjustment with an Example Using the Term Structure of Interest Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(3), pages 304-311, July.
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    Citations

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    Cited by:

    1. Tolga Omay & Furkan Emirmahmutoglu & Mubariz Hasanov, 2018. "Structural break, nonlinearity and asymmetry: a re-examination of PPP proposition," Applied Economics, Taylor & Francis Journals, vol. 50(12), pages 1289-1308, March.
    2. Abdul Aleem Qureshi & Syed Faizan Iftikhar & Mohsin Hasnain Ahmed, 2017. "The Fiscal Impacts of Privatization Reforms in Pakistan: A Dynamic Analysis," Econometrics Letters, Bilimsel Mektuplar Organizasyonu (Scientific letters), vol. 4(1), pages 17-32.
    3. Diego Romero-Ávila & Tolga Omay, 2023. "Convergence of GHGs emissions in the long-run: aerosol precursors, reactive gases and aerosols—a nonlinear panel approach," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(11), pages 12303-12337, November.
    4. Corakci, Aysegul & Omay, Tolga, 2023. "Is there convergence in renewable energy deployment? Evidence from a new panel unit root test with smooth and sharp structural breaks," Renewable Energy, Elsevier, vol. 205(C), pages 648-662.
    5. Esra Hasdemir & Tolga Omay & Zulal S Denaux, 2019. "Testing the Current Account Sustainability for BRICS Countries: Evidence from a Nonlinear Framework," Economics Bulletin, AccessEcon, vol. 39(1), pages 310-320.
    6. Giorgio Canarella & Rangan Gupta & Stephen M. Miller & Tolga Omay, 2019. "Does U.K.’s Real GDP have a Unit Root? Evidence from a Multi-Century Perspective," Working Papers 201926, University of Pretoria, Department of Economics.
    7. Furkan Emirmahmutoglu & Tolga Omay & Syed Jawad Hussain Shahzad & Safwan Mohd Nor, 2021. "Smooth Break Detection and De-Trending in Unit Root Testing," Mathematics, MDPI, vol. 9(4), pages 1-25, February.
    8. David De Villiers & Andrew Phiri, 2022. "Towards resolving the purchasing power parity (PPP) ‘Puzzle’ in newly industrialized countries (NIC’s)," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 31(2), pages 161-180, February.
    9. Banu Kurtaran, 2015. "Re-examining the PPP Hypothesis via Nonlinearity and Smooth Breaks," Econometrics Letters, Bilimsel Mektuplar Organizasyonu (Scientific letters), vol. 2(1), pages 1-21.
    10. Melis Tartici, 2015. "A Reinvestigation of the Hysteresis Hypothesis in the OECD Countries," Econometrics Letters, Bilimsel Mektuplar Organizasyonu (Scientific letters), vol. 2(1), pages 22-40.

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    More about this item

    Keywords

    Smooth Break; Nonlinear Unit Root Test; PPP.;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • O47 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Empirical Studies of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence

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