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Covariate unit root tests under structural change and asymmetric STAR dynamics

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  • Tsong, Ching-Chuan
  • Wu, Chien-Wei
  • Chiu, Hsien-Hung
  • Lee, Cheng-Feng

Abstract

In this paper, we intend to develop a new unit root testing procedure. The novelty of this methodology includes (1) accommodating possible trend breaks of unknown number, unknown dates, and unknown form by employing the Fourier form without directly estimating such breaks; (2) considering possible asymmetric STAR adjustments under the alterative; and (3) utilizing related covariates to boost the testing power. The limiting distribution of the test is derived, and the asymptotic critical values are tabulated. Simulation experiments show that the test can deliver robust size for various breaks commonly seen in economic analysis and enjoy high power property, even in small sample sizes encountered in empirical studies. The usefulness of the test is illustrated in an empirical study on the issue of debt sustainability in 18 OECD countries.

Suggested Citation

  • Tsong, Ching-Chuan & Wu, Chien-Wei & Chiu, Hsien-Hung & Lee, Cheng-Feng, 2013. "Covariate unit root tests under structural change and asymmetric STAR dynamics," Economic Modelling, Elsevier, vol. 33(C), pages 101-112.
    • Handle: RePEc:eee:ecmode:v:33:y:2013:i:c:p:101-112
    DOI: 10.1016/j.econmod.2013.03.016
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    Cited by:

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    2. Chang, Ming-Jen & Su, Che-Yi, 2015. "Does real interest rate parity really hold? New evidence from G7 countries," Economic Modelling, Elsevier, vol. 47(C), pages 299-306.
    3. Tsong Ching-Chuan & Lee Cheng-Feng & Tsai Li Ju, 2019. "A parametric stationarity test with smooth breaks," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 23(2), pages 1-14, April.

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    More about this item

    Keywords

    Fourier form; Structural change; Covariate unit roots; Asymmetry; Debt-GDP ratio;
    All these keywords.

    JEL classification:

    • 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
    • F31 - International Economics - - International Finance - - - Foreign Exchange

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