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Critical values for linearity tests in time-varying smooth transition autoregressive models when data are highly persistent

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  • Rickard Sandberg

Abstract

In this paper, we derive asymptotic distributions for linearity tests in time-varying smooth transition autoregressive models in the presence of a unit root. The limiting distributions are non-standard because of the unit root assumption, and it is shown that the linearity hypothesis is rejected far too often (up to 30.9% of the times at a 5% significance level) when using critical values from a chi-square distribution. Copyright The Author(s). Journal compilation Royal Economic Society 2008

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  • Rickard Sandberg, 2008. "Critical values for linearity tests in time-varying smooth transition autoregressive models when data are highly persistent," Econometrics Journal, Royal Economic Society, vol. 11(3), pages 638-647, November.
    • Handle: RePEc:ect:emjrnl:v:11:y:2008:i:3:p:638-647
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    Cited by:

    1. Rehim Kılıç, 2009. "Nonlinearity and Persistence in PPP: Does Controlling for Nonlinearity Solve the PPP Puzzle?," Review of International Economics, Wiley Blackwell, vol. 17(3), pages 570-587, August.
    2. Ahmad, Yamin & Lo, Ming Chien & Mykhaylova, Olena, 2013. "Causes of nonlinearities in low-order models of the real exchange rate," Journal of International Economics, Elsevier, vol. 91(1), pages 128-141.
    3. Sandberg, Rickard, 2016. "Trends, unit roots, structural changes, and time-varying asymmetries in U.S. macroeconomic data: the Stock and Watson data re-examined," Economic Modelling, Elsevier, vol. 52(PB), pages 699-713.
    4. Kaufmann, Hendrik & Kruse, Robinson & Sibbertsen, Philipp, 2012. "On tests for linearity against STAR models with deterministic trends," Economics Letters, Elsevier, vol. 117(1), pages 268-271.
    5. Rehim Kılıç, 2016. "Tests for Linearity in Star Models: Supwald and Lm-Type Tests," Journal of Time Series Analysis, Wiley Blackwell, vol. 37(5), pages 660-674, September.

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