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Smooth transitions, asymmetric adjustment and unit roots

Author

Listed:
  • Juan Carlos Cuestas
  • Javier Ord��ez

Abstract

The aim of this article is to develop a unit root test that takes into account two sources of nonlinearites in data, i.e. asymmetric speed of mean reversion and structural changes. The asymmetric speed of mean reversion is modelled by means of a exponential smooth transition autoregression (ESTAR) function for the autoregressive parameter, whereas structural changes are approximated by a smooth transition in the deterministic components. We find that the proposed test performs well in terms of size and power, in particular when the autoregressive parameter is near unity.

Suggested Citation

  • Juan Carlos Cuestas & Javier Ord��ez, 2014. "Smooth transitions, asymmetric adjustment and unit roots," Applied Economics Letters, Taylor & Francis Journals, vol. 21(14), pages 969-972, September.
  • Handle: RePEc:taf:apeclt:v:21:y:2014:i:14:p:969-972
    DOI: 10.1080/13504851.2014.902016
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    Cited by:

    1. Hepsag, Aycan, 2017. "A unit root test based on smooth transitions and nonlinear adjustment," MPRA Paper 81788, University Library of Munich, Germany.
    2. Chen, Shyh-Wei & Xie, Zixiong, 2015. "Testing for current account sustainability under assumptions of smooth break and nonlinearity," International Review of Economics & Finance, Elsevier, vol. 38(C), pages 142-156.
    3. Hepsag, Aycan, 2017. "New unit root tests with two smooth breaks and nonlinear adjustment," MPRA Paper 83353, University Library of Munich, Germany.
    4. Jiang, Chun & Jian, Na & Liu, Tie-Ying & Su, Chi-Wei, 2016. "Purchasing power parity and real exchange rate in Central Eastern European countries," International Review of Economics & Finance, Elsevier, vol. 44(C), pages 349-358.
    5. Serife Ozsahin & Gulbahar Ucler, 2025. "Are remittances an opportunity or a threat to sustainable environmental quality in India? Evidence from nonlinear smooth transition models," Journal of the Knowledge Economy, Springer;Portland International Center for Management of Engineering and Technology (PICMET), vol. 16(2), pages 8867-8886, June.
    6. Muhammad Ilyas & Liying Song & Mukhtar Danladi Galadima & Muhammad Noshab Hussain & Abdul Sattar, 2025. "Nonlinearity and nonlinear convergence of inflation rates in the West African Monetary Zone: a way to Monetary Integration," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 24(1), pages 83-100, January.

    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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