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Correcting size distortion of the Dickey-Fuller test via recursive mean adjustment

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  • Cook, Steven

Abstract

Leybourne et al. (J. Econom. 87 (1998) 191) have shown the Dickey-Fuller (J. Amer. Statist. Assoc. 74 (1979) 427) unit root test to suffer from severe oversizing in the presence of level breaks. In this paper it is shown that recursive mean adjustment can correct this distortion, even for large breaks.

Suggested Citation

  • Cook, Steven, 2002. "Correcting size distortion of the Dickey-Fuller test via recursive mean adjustment," Statistics & Probability Letters, Elsevier, vol. 60(1), pages 75-79, November.
  • Handle: RePEc:eee:stapro:v:60:y:2002:i:1:p:75-79
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    References listed on IDEAS

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    1. Davidson, Russell & MacKinnon, James G, 1998. "Graphical Methods for Investigating the Size and Power of Hypothesis Tests," The Manchester School of Economic & Social Studies, University of Manchester, vol. 66(1), pages 1-26, January.
    2. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    3. Perron, Pierre, 1990. "Testing for a Unit Root in a Time Series with a Changing Mean," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 153-162, April.
    4. Jushan Bai & Robin L. Lumsdaine & James H. Stock, 1998. "Testing For and Dating Common Breaks in Multivariate Time Series," Review of Economic Studies, Oxford University Press, vol. 65(3), pages 395-432.
    5. Leybourne, Stephen J. & C. Mills, Terence & Newbold, Paul, 1998. "Spurious rejections by Dickey-Fuller tests in the presence of a break under the null," Journal of Econometrics, Elsevier, vol. 87(1), pages 191-203, August.
    6. Pantula, Sastry G & Gonzalez-Farias, Graciela & Fuller, Wayne A, 1994. "A Comparison of Unit-Root Test Criteria," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(4), pages 449-459, October.
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    Cited by:

    1. Meng, Ming & Lee, Hyejin & Cho, Myeong Hyeon & Lee, Junsoo, 2013. "Impacts of the initial observation on unit root tests using recursive demeaning and detrending procedures," Economics Letters, Elsevier, vol. 120(2), pages 195-199.
    2. Kim, Hyeongwoo & Durmaz, Nazif, 2012. "Bias correction and out-of-sample forecast accuracy," International Journal of Forecasting, Elsevier, vol. 28(3), pages 575-586.
    3. Kim, Hyeongwoo & Moh, Young-Kyu, 2012. "Examining the evidence of purchasing power parity by recursive mean adjustment," Economic Modelling, Elsevier, vol. 29(5), pages 1850-1857.
    4. Cook, Steven & Vougas, Dimitrios, 2004. "On the finite-sample size distortion of smooth transition unit root tests," Statistics & Probability Letters, Elsevier, vol. 70(3), pages 175-182, December.

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