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Linearity Testing in Time-Varying Smooth Transition Autoregressive Models under Unknown Degree of Persistency

Author

Listed:
  • Robinson Kruse

    (School of Economics and Management, Aarhus University and CREATES)

  • Rickard Sandberg

    (Department of Economic Statistics, Stockholm School of Economics)

Abstract

Building upon the work of Vogelsang (1998) and Harvey and Leybourne (2007) we derive tests that are invariant to the order of integration when the null hypothesis of linearity is tested in time-varying smooth transition models. As heteroscedasticity may lead to spurious rejections of the null hypothesis, a White correction is also considered. The asymptotic properties of the tests are studied. Our Monte Carlo simulations suggest that the newly proposed tests exhibit good size and competitive power properties. An empirical application to US inflation data from the Post-Bretton Woods period underlines the empirical usefulness of our tests.

Suggested Citation

  • Robinson Kruse & Rickard Sandberg, 2010. "Linearity Testing in Time-Varying Smooth Transition Autoregressive Models under Unknown Degree of Persistency," CREATES Research Papers 2010-36, Department of Economics and Business Economics, Aarhus University.
    • Handle: RePEc:aah:create:2010-36
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    File URL: https://repec.econ.au.dk/repec/creates/rp/10/rp10_36.pdf
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    More about this item

    Keywords

    Linearity testing; Linear I(0) and (1) models; Non-linear I(0) and I(1) models; White correction.;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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