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Structural breaks, unit roots and methods for removing the autocorrelation pattern

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  • Montañés, Antonio
  • Reyes, Marcelo

Abstract

This paper examines the asymptotic and finite sample behaviour of the ADF and Phillips-Perron statistics under the presence of a break in the trend function. We prove that the break magnitude affects these two statistics in a similar way, drawing them closer the acceptance zone, the higher the break magnitude. By contrast, the influence of the lag truncation parameter does not have a similar effect on them, being very important for the ADF whilst negligible for the Phillips-Perron statistics.

Suggested Citation

  • Montañés, Antonio & Reyes, Marcelo, 2000. "Structural breaks, unit roots and methods for removing the autocorrelation pattern," Statistics & Probability Letters, Elsevier, vol. 48(4), pages 401-409, July.
  • Handle: RePEc:eee:stapro:v:48:y:2000:i:4:p:401-409
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    References listed on IDEAS

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    1. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-858, May.
    2. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 33(1), pages 125-132.
    3. 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.
    4. 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.
    5. Harris, R. I. D., 1992. "Testing for unit roots using the augmented Dickey-Fuller test : Some issues relating to the size, power and the lag structure of the test," Economics Letters, Elsevier, vol. 38(4), pages 381-386, April.
    6. 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.
    7. Montañés, Antonio & Reyes, Marcelo, 1999. "The asymptotic behaviour of the Dickey-Fuller tests under the crash hypothesis," Statistics & Probability Letters, Elsevier, vol. 42(1), pages 81-89, March.
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    Citations

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    Cited by:

    1. Imran H. Shah & Ian Corrick & Abdul Saboor, 2018. "How should Central Banks Respond to Non-neutral Inflation Expectations?," Open Economies Review, Springer, vol. 29(2), pages 321-351, April.
    2. Kim, Dukpa & Perron, Pierre, 2009. "Unit root tests allowing for a break in the trend function at an unknown time under both the null and alternative hypotheses," Journal of Econometrics, Elsevier, vol. 148(1), pages 1-13, January.
    3. Brodsky, Boris, 2008. "Structural Changes and Unit Roots: Distinguishing Models of Nonstationary Time Series," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 11(3), pages 52-63.
    4. Aparicio, Felipe M. & Escribano, Álvaro, 2003. "Cointegration tests based on record counting statistics," DES - Working Papers. Statistics and Econometrics. WS ws036615, Universidad Carlos III de Madrid. Departamento de Estadística.

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