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Test for linearity against STAR models with deterministic trends

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  • Zhang, Lingxiang

Abstract

This paper studies the linearity test of STAR models with deterministic trends. The results show that when the data generation process includes a deterministic trend, the Wald-type statistic proposed by Teräsvirta (1994) does not follow the standard χ2 distribution, but degenerates at the speed of T. Moreover, when the test for linearity is performed based on the residual of ordinary least squares detrending, the statistical power of the test is very low even when the Wald statistic follows the χ2 distribution.

Suggested Citation

  • Zhang, Lingxiang, 2012. "Test for linearity against STAR models with deterministic trends," Economics Letters, Elsevier, vol. 115(1), pages 16-19.
    • Handle: RePEc:eee:ecolet:v:115:y:2012:i:1:p:16-19
    DOI: 10.1016/j.econlet.2011.11.018
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    References listed on IDEAS

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    1. Dick van Dijk & Timo Terasvirta & Philip Hans Franses, 2002. "Smooth Transition Autoregressive Models — A Survey Of Recent Developments," Econometric Reviews, Taylor & Francis Journals, vol. 21(1), pages 1-47.
    2. Terasvirta, Timo & Tjostheim, Dag & Granger, Clive W. J., 2010. "Modelling Nonlinear Economic Time Series," OUP Catalogue, Oxford University Press, number 9780199587155, Decembrie.
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    Cited by:

    1. 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.
    2. Lingxiang Zhang, 2020. "Linearity tests and stochastic trend under the STAR framework," Statistical Papers, Springer, vol. 61(6), pages 2271-2282, December.

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    More about this item

    Keywords

    Linearity; STAR; Deterministic trend;
    All these keywords.

    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
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

    Statistics

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