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Power of a Unit‐Root Test and the Initial Condition

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  • David I. Harvey
  • Stephen J. Leybourne

Abstract

. It is now well known that how the initial observation is generated can have a significant effect on the power of a unit‐root test. In this article, we show that by taking a simple data‐dependent weighted average of the initial condition‐robust test of Elliott and Müller [Journal of Econometrics (2006), forthcoming] and the standard augmented Dickey–Fuller test, we are able to produce a new unit‐root test that can improve power, both asymptotically and in finite samples, over a wide range of possibilities governing the generation of the initial observation.

Suggested Citation

  • David I. Harvey & Stephen J. Leybourne, 2006. "Power of a Unit‐Root Test and the Initial Condition," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(5), pages 739-752, September.
    • Handle: RePEc:bla:jtsera:v:27:y:2006:i:5:p:739-752
    DOI: 10.1111/j.1467-9892.2006.00486.x
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    Cited by:

    1. Kerry Patterson & Michael A. Thornton, 2013. "A review of econometric concepts and methods for empirical macroeconomics," Chapters, in: Nigar Hashimzade & Michael A. Thornton (ed.), Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 2, pages 4-42, Edward Elgar Publishing.
    2. Skrobotov, Anton, 2020. "Survey on structural breaks and unit root tests," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 58, pages 96-141.
    3. Skrobotov Anton, 2018. "On Trend Breaks and Initial Condition in Unit Root Testing," Journal of Time Series Econometrics, De Gruyter, vol. 10(1), pages 1-15, January.
    4. Lau, Chi Keung Marco & Suvankulov, Farrukh & Su, Yongyang & Chau, Frankie, 2012. "Some cautions on the use of nonlinear panel unit root tests: Evidence from a modified series-specific non-linear panel unit-root test," Economic Modelling, Elsevier, vol. 29(3), pages 810-816.
    5. Skrobotov, Anton (Скроботов, Антон), 2015. "About Trend, the Shift and the Initial Value in Testing of the Hypothesis of a Unit Root [О Тренде, Сдвиге И Начальном Значении В Тестировании Гипотезы О Наличии Единичного Корня]," Published Papers mak6, Russian Presidential Academy of National Economy and Public Administration.
    6. Anton Skrobotov, 2013. "Double Unit Roots Testing, GLS-detrending and Uncertainty over the Initial Conditions," Working Papers 0083, Gaidar Institute for Economic Policy, revised 2013.
    7. Joakim Westerlund, 2016. "Pooled Panel Unit Root Tests and the Effect of Past Initialization," Econometric Reviews, Taylor & Francis Journals, vol. 35(3), pages 396-427, March.
    8. Hugo Ferrer‐Pérez & María‐Isabel Ayuda & Antonio Aznar, 2019. "Improving the Performance of a Long‐Run Variance Ratio Test for a Unit Root," The Japanese Economic Review, Japanese Economic Association, vol. 70(2), pages 258-274, June.
    9. Sven Otto, 2020. "Unit Root Testing with Slowly Varying Trends," Papers 2003.04066, arXiv.org, revised Aug 2020.
    10. Meligkotsidou, Loukia & Tzavalis, Elias & Vrontos, Ioannis, 2017. "On Bayesian analysis and unit root testing for autoregressive models in the presence of multiple structural breaks," Econometrics and Statistics, Elsevier, vol. 4(C), pages 70-90.

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