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Comparison of Unit Root Tests for Time Series with Level Shifts

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  • Lanne, Markku
  • Lütkepohl, Helmut
  • Saikkonen, Pentti

Abstract

Unit root tests are considered for time series which have a level shift at a known point in time. The shift can have a very general nonlinear form, and additional deterministic mean and trend terms are allowed for. Prior to the tests, the deterministic parts and other nuisance parameters of the data generation process are estimated in a first step. Then, the series are adjusted for these terms and unit root tests of the Dickey–Fuller type are applied to the adjusted series. The properties of previously suggested tests of this sort are analysed and modifications are proposed which take into account estimation errors in the nuisance parameters. An important result is that estimation under the null hypothesis is preferable to estimation under local alternatives. This contrasts with results obtained by other authors for time series without level shifts.

Suggested Citation

  • Lanne, Markku & Lütkepohl, Helmut & Saikkonen, Pentti, 2002. "Comparison of Unit Root Tests for Time Series with Level Shifts," MPRA Paper 76035, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:76035
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    unit root; nonlinear shift; autoregressive process;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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