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Improving Size and Power in Unit Root Testing

Author

Listed:
  • Niels Haldrup
  • Michael Jansson

    (Department of Economics, University of Aarhus, Denmark)

Abstract
A frequent criticism of unit root tests concerns the poor power and size properties that many of such tests exhibit. However, the past decade or so intensive research has been conducted to alleviate these problems and great advances have been made. The present paper provides a selective survey of recent contributions to improve upon both size and power of unit root tests and in so doing the approach of using rigorous statistical optimality criteria in the development of such tests is stressed. In addition to presenting tests where improved size can be achieved by modifying the standard Dickey-Fuller class of tests, the paper presents theory of optimal testing and the construction of power envelopes for unit root tests under different conditions allowing for serial correlation, deterministic components, assumptions regarding the initial condition, non-Gaussian errors, and the use of covariates.

Suggested Citation

  • Niels Haldrup & Michael Jansson, 2005. "Improving Size and Power in Unit Root Testing," Economics Working Papers 2005-02, Department of Economics and Business Economics, Aarhus University.
    • Handle: RePEc:aah:aarhec:2005-02
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    File URL: https://repec.econ.au.dk/repec/afn/wp/05/wp05_02.pdf
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    Citations

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    Cited by:

    1. Michael Jansson & Marcelo J. Moreira, 2006. "Optimal Inference in Regression Models with Nearly Integrated Regressors," Econometrica, Econometric Society, vol. 74(3), pages 681-714, May.
    2. Perron, Pierre & Qu, Zhongjun, 2007. "A simple modification to improve the finite sample properties of Ng and Perron's unit root tests," Economics Letters, Elsevier, vol. 94(1), pages 12-19, January.
    3. Swasti R. Khuntia & Jose L. Rueda & Mart A.M.M. Van der Meijden, 2018. "Long-Term Electricity Load Forecasting Considering Volatility Using Multiplicative Error Model," Energies, MDPI, vol. 11(12), pages 1-19, November.
    4. M. R. Anantha Ramu & K. Gayithri, 2017. "Fiscal deficit and inflation linkages in India: tracking the transmission channels," Journal of Social and Economic Development, Springer;Institute for Social and Economic Change, vol. 19(1), pages 1-24, April.
    5. Ivan D. Trofimov, 2024. "A Time Series Analysis of Corporate Profit Rates in Selected Developed Economies: Asymmetries, Non-linearity and Mean Reversion," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 22(2), pages 303-338, June.

    More about this item

    Keywords

    Unit roots; optimal tests; power envelope;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • 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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