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Rank-based unit root testing in the presence of structural change under the null: simulation results and an application to US inflation

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  • Steven Cook

Abstract

The size distortion of the Dickey-Fuller (Journal of the American Statistical Association, 74, pp. 427-31, 1979) unit root test is examined in the presence of structural changes in both the level and variance of integrated time series. In contrast to previous studies, the empirically relevant situation in which such breaks occur simultaneously is examined. It is shown that the severe distortion observed for the Dickey-Fuller test can be dramatically reduced via application of a simple rank-based method. The simulation results presented are supported by an empirical examination of the integrated nature of US inflation where differing inferences are drawn using the Dickey-Fuller test and the rank-based Dickey-Fuller test.

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  • Steven Cook, 2005. "Rank-based unit root testing in the presence of structural change under the null: simulation results and an application to US inflation," Applied Economics, Taylor & Francis Journals, vol. 37(6), pages 607-617.
    • Handle: RePEc:taf:applec:v:37:y:2005:i:6:p:607-617
    DOI: 10.1080/0003684042000337370
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    Cited by:

    1. Claudio Morana & Fabio Cesare Bagliano, 2007. "Inflation and monetary dynamics in the USA: a quantity-theory approach," Applied Economics, Taylor & Francis Journals, vol. 39(2), pages 229-244.
    2. Luis A. Gil-Alana & Andrea Mervar & James E. Payne, 2017. "The stationarity of inflation in Croatia: anti-inflation stabilization program and the change in persistence," Economic Change and Restructuring, Springer, vol. 50(1), pages 45-58, February.
    3. Syed Basher & Joakim Westerlund, 2007. "Is there really a unit root in the inflation rate? More evidence from panel data models," Applied Economics Letters, Taylor & Francis Journals, vol. 15(3), pages 161-164.
    4. Canepa, Alessandra, 2024. "Inflation dynamics and persistence: The importance of the uncertainty channel," The North American Journal of Economics and Finance, Elsevier, vol. 72(C).
    5. Steven Cook, 2007. "Further results on the detection of changes in persistence in linear time series," Applied Economics Letters, Taylor & Francis Journals, vol. 14(2), pages 145-150.

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