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

  • 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)

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.

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Paper provided by University of Evora, CEFAGE-UE (Portugal) in its series CEFAGE-UE Working Papers with number 2013_11.

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Length: 18 pages
Date of creation: 2013
Date of revision:
Handle: RePEc:cfe:wpcefa:2013_11
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  1. Perron, P. & Ng, S., 1996. "An Autoregressive Spectral Density Estimator at Frequency Zero for Nonstationarity Tests," Cahiers de recherche 9611, Universite de Montreal, Departement de sciences economiques.
  2. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
  3. Jansson, Michael, 2002. "Consistent Covariance Matrix Estimation For Linear Processes," Econometric Theory, Cambridge University Press, vol. 18(06), pages 1449-1459, December.
  4. Herman J. Bierens, 2000. "Complex Unit Roots and Business Cycles: Are They Real?," Econometric Society World Congress 2000 Contributed Papers 0197, Econometric Society.
  5. 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.
  6. 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.
  7. 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 156-63, January.
  8. 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.
  9. 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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