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Multivariate unit root tests

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  • 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.

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Bibliographic Info

Paper provided by ULB -- Universite Libre de Bruxelles in its series Working Papers CEB with number 95-001.RS.

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Date of creation: 1995
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Publication status: Published by:
Handle: RePEc:sol:wpaper:95-001

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Related research

Keywords: unit root; multivariate test; stationarity; panel data;

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References

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  1. Renato Flôres & Ariane Szafarz, 1994. "Efficient markets do not cointegrate," ULB Institutional Repository 2013/697, ULB -- Universite Libre de Bruxelles.
  2. Danny Quah, 1991. "The Relative Importance of Permanent and Transitory Components: Identi- fication and Some Theoretical Bounds," NBER Technical Working Papers 0106, National Bureau of Economic Research, Inc.
  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 1057-72, 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 157-74, 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 113-44, January.
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Citations

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Cited by:
  1. Renato Flôres & Philippe Jorion & Pierre-Yves Preumont & Ariane Szafarz, 1999. "Multivariate Unit root Tests of the PPP Hypothesis," ULB Institutional Repository 2013/711, ULB -- Universite Libre de Bruxelles.
  2. Sercu, Piet, 2005. "The exchange rate and purchasing power parity in arbitrage-free models of asset pricing," Open Access publications from Katholieke Universiteit Leuven urn:hdl:123456789/122905, Katholieke Universiteit Leuven.
  3. Mariam Camarero & Renato G. Flores, Jr. & Cecilio R. Tamarit, . "Monetary Union and productivity differences in Mercosur countries," Working Papers on International Economics and Finance 03-04, FEDEA.
  4. Koedijk, C.G. & Tims, B. & Dijk, M.A. van, 2004. "Purchasing Power Parity and the Euro Area," Research Paper ERS-2004-025-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni.
  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 del Instituto Complutense de Análisis Económico 0512, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales.
  7. Alfredo García Hiernaux & Miguel Jerez & José Casals, 2005. "Deteccióon de Raíces Unitarias y Cointegración mediante Métodos de Subespacios," Documentos del Instituto Complutense de Análisis Económico 0503, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales.

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