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Multivariate unit root tests

Author

Listed:
  • Renato Flôres
  • Pierre-Yves Preumont
  • Ariane Szafarz

Abstract

This paper presents a new multivariate test for the detection of unit roots. Use is made of the possible correlations between the disturbances of different series, and constrained and unconstrained SURE estimators are employed. The corresponding asymptotic distributions are obtained and a table with a few critical values, for the case of two series, is generated. Some simulations indicate that the procedure performs better than the existing alternatives.

Suggested Citation

  • Renato Flôres & Pierre-Yves Preumont & Ariane Szafarz, 1995. "Multivariate unit root tests," Working Papers CEB 95-001.RS, ULB -- Universite Libre de Bruxelles.
  • Handle: RePEc:sol:wpaper:95-001
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    File URL: https://dipot.ulb.ac.be/dspace/bitstream/2013/761/1/RePEc_sol_wpaper_95-001.pdf
    File Function: RePEc_sol_wpaper_95-001
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    References listed on IDEAS

    as
    1. Renato Flôres & Ariane Szafarz, 1994. "Efficient markets do not cointegrate," ULB Institutional Repository 2013/697, ULB -- Universite Libre de Bruxelles.
    2. Quah, Danny, 1992. "The Relative Importance of Permanent and Transitory Components: Identification and Some Theoretical Bounds," Econometrica, Econometric Society, vol. 60(1), pages 107-118, January.
    3. Park, Joon Y. & Phillips, Peter C.B., 1989. "Statistical Inference in Regressions with Integrated Processes: Part 2," Econometric Theory, Cambridge University Press, vol. 5(01), pages 95-131, April.
    4. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-1072, June.
    5. Park, Joon Y. & Phillips, Peter C.B., 1988. "Statistical Inference in Regressions with Integrated Processes: Part 1," Econometric Theory, Cambridge University Press, vol. 4(03), pages 468-497, December.
    6. Abuaf, Niso & Jorion, Philippe, 1990. " Purchasing Power Parity in the Long Run," Journal of Finance, American Finance Association, vol. 45(1), pages 157-174, March.
    7. Phillips, P.C.B., 1986. "Understanding spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 33(3), pages 311-340, December.
    8. Sims, Christopher A & Stock, James H & Watson, Mark W, 1990. "Inference in Linear Time Series Models with Some Unit Roots," Econometrica, Econometric Society, vol. 58(1), pages 113-144, January.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Hwa-Taek Lee & Gawon Yoon, 2013. "Does purchasing power parity hold sometimes? Regime switching in real exchange rates," Applied Economics, Taylor & Francis Journals, vol. 45(16), pages 2279-2294, June.
    2. Flores, Renato & Jorion, Philippe & Preumont, Pierre-Yves & Szafarz, Ariane, 1999. "Multivariate unit root tests of the PPP hypothesis," Journal of Empirical Finance, Elsevier, vol. 6(4), pages 335-353, October.
    3. Camarero, Mariam & Flores, Renato Jr. & Tamarit, Cecilio R., 2006. "Monetary union and productivity differences in Mercosur countries," Journal of Policy Modeling, Elsevier, vol. 28(1), pages 53-66, January.
    4. Alfredo García Hiernaux & Miguel Jerez & José Casals, 2005. "Deteccióon de Raíces Unitarias y Cointegración mediante Métodos de Subespacios," Documentos de Trabajo del ICAE 0503, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    5. Wang, Shaoping & Wang, Peng & Yang, Jisheng & Li, Zinai, 2010. "A generalized nonlinear IV unit root test for panel data with cross-sectional dependence," Journal of Econometrics, Elsevier, vol. 157(1), pages 101-109, July.
    6. Alfredo Garcia Hiernaux & Miguel Jerez & José Casals, 2005. "Unit Roots and Cointegrating Matrix Estimation using Subspace Methods," Documentos de Trabajo del ICAE 0512, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.

    More about this item

    Keywords

    unit root; multivariate test; stationarity; panel data;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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