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Power Properties of Linearity Tests for Time Series


  • Teräsvirta, Timo

    () (Department of Economic Statistics)


This paper examines the power properties of several linearity tests applied in time series analysis. The tests are the ones Lee et al. (1993) used in their Monte Carlo study. The main tool used for power comparisons in this paper is the Pitman asymptotic relative efficiency. The results generally strengthen the outcome of the simulations and complement some results in Lee et al. (1993). They also suggest guidelines for designing Monte Carlo experiments for linearity tests.

Suggested Citation

  • Teräsvirta, Timo, 1996. "Power Properties of Linearity Tests for Time Series," SSE/EFI Working Paper Series in Economics and Finance 94, Stockholm School of Economics.
  • Handle: RePEc:hhs:hastef:0094

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    References listed on IDEAS

    1. Kenneth Rogoff, 1985. "The Optimal Degree of Commitment to an Intermediate Monetary Target," The Quarterly Journal of Economics, Oxford University Press, vol. 100(4), pages 1169-1189.
    2. Obstfeld, Maurice, 1997. "Destabilizing effects of exchange-rate escape clauses," Journal of International Economics, Elsevier, vol. 43(1-2), pages 61-77, August.
    3. Persson, Torsten & Tabellini, Guido, 1993. "Designing institutions for monetary stability," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 53-84, December.
    4. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
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    Cited by:

    1. Castle, Jennifer L. & Hendry, David F., 2010. "A low-dimension portmanteau test for non-linearity," Journal of Econometrics, Elsevier, vol. 158(2), pages 231-245, October.
    2. Q. Farooq Akram & Øyvind Eitrheim & Lucio Sarno, 2005. "Non-linear dynamics in output, real exchange rates and real money balances: Norway, 1830-2003," Working Paper 2005/2, Norges Bank.
    3. Berg, Nathan, 2004. "No-decision classification: an alternative to testing for statistical significance," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 33(5), pages 631-650, November.

    More about this item


    Bilinear model; local asymptotic power; nonlinear time series; Pitman asymptotic relative efficiency; threshold autoregressive model;

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection


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