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On the Behaviour of Phillips-Perron Tests in the Presence of Persistent Cycles

Author

Listed:
  • Tomás del Barrio Castro

    (Department of Applied Economics, University of the Balearic Islands)

  • Paulo M.M. Rodrigues

    () (Banco de Portugal, NOVA School of Business and Economics, Universidade Nova de Lisboa, CEFAGE)

  • A.M. Robert Taylor

    (Granger Centre for Time Series Econometrics, University of Nottingham)

Abstract

Is In this paper we provide a detailed analysis of the impact of persistent cycles on the well-known semi-parametric unit root tests of Phillips and Perron (1988, Biometrika 75, 335.346). It is shown analytically and through Monte Carlo simulations that the presence of complex (near) unit roots can severely bias the size properties of these unit root test procedures.

Suggested Citation

  • Tomás del Barrio Castro & Paulo M.M. Rodrigues & A.M. Robert Taylor, 2013. "On the Behaviour of Phillips-Perron Tests in the Presence of Persistent Cycles," CEFAGE-UE Working Papers 2013_11, University of Evora, CEFAGE-UE (Portugal).
  • Handle: RePEc:cfe:wpcefa:2013_11
    as

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    References listed on IDEAS

    as
    1. Bierens, Herman J., 2001. "Complex Unit Roots And Business Cycles: Are They Real?," Econometric Theory, Cambridge University Press, vol. 17(05), pages 962-983, October.
    2. Nabeya, Seiji & Perron, Pierre, 1994. "Local asymptotic distribution related to the AR(1) model with dependent errors," Journal of Econometrics, Elsevier, vol. 62(2), pages 229-264, June.
    3. Whitney K. Newey & Kenneth D. West, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," Review of Economic Studies, Oxford University Press, vol. 61(4), pages 631-653.
    4. Castro, Tomás del Barrio & Rodrigues, Paulo M.M. & Taylor, A.M. Robert, 2013. "The Impact Of Persistent Cycles On Zero Frequency Unit Root Tests," Econometric Theory, Cambridge University Press, vol. 29(06), pages 1289-1313, December.
    5. Taylor, A M Robert, 2003. "Robust Stationarity Tests in Seasonal Time Series Processes," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(1), pages 156-163, January.
    6. Perron, Pierre & Ng, Serena, 1998. "An Autoregressive Spectral Density Estimator At Frequency Zero For Nonstationarity Tests," Econometric Theory, Cambridge University Press, vol. 14(05), pages 560-603, October.
    7. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    8. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    9. Jansson, Michael, 2002. "Consistent Covariance Matrix Estimation For Linear Processes," Econometric Theory, Cambridge University Press, vol. 18(06), pages 1449-1459, December.
    10. Yoosoon Chang & Joon Park, 2002. "On The Asymptotics Of Adf Tests For Unit Roots," Econometric Reviews, Taylor & Francis Journals, vol. 21(4), pages 431-447.
    11. Breitung, Jorg, 2002. "Nonparametric tests for unit roots and cointegration," Journal of Econometrics, Elsevier, vol. 108(2), pages 343-363, June.
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    Blog mentions

    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. Unit Root Tests and Seasonally Adjusted Data
      by Dave Giles in Econometrics Beat: Dave Giles' Blog on 2014-09-13 01:03:00

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    1. repec:gam:jecnmx:v:5:y:2017:i:2:p:17-:d:95932 is not listed on IDEAS

    More about this item

    Keywords

    Phillips-Perron unit root test; Non-stationarity; Serial correlation; Cyclicality; Busi- ness cycles.;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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