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Rank Tests for Unit Roots

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Author Info
Breitung, J.
Gourieroux, C.

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Abstract

In order to obtain exact distributional results without imposing restrictive parametric assumptions, various rank counterparts of the Dickey-Fuller statistic are considered. In particular, a rank counterpart of the score statistic is suggested which appears to have attractive theoretical properties. Assuming i.i.d. errors, an exact test is obtained for a random walk model with drift and under assumptions similar to Phillips & Perron (1988) the test is asymptotically valid. In a Monte Carlo study the rank tests are compared with their parametric counterparts.

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Publisher Info
Paper provided by Institut National de la Statistique et des Etudes Economiques- in its series Papers with number 9642.

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Length: 37 pages
Date of creation: 1996
Date of revision:
Handle: RePEc:fth:inseep:9642

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Postal: INSTITUT NATIONAL DE LA STATISTIQUE ET DES ETUDES ECONOMIQUES, UNITE DE RECHERCHE, BUREAU 1150 18 BD ADOLPH PINARD 75675 PARIS CEDEX 14 FRANCE.
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Related research
Keywords: ECONOMETRICS TIME SERIES

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Find related papers by JEL classification:
C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models
C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models

References listed on IDEAS
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  1. Phillips, P.C.B., 1986. "Testing for a Unit Root in Time Series Regression," Cahiers de recherche 8633, Universite de Montreal, Departement de sciences economiques.
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  2. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March. [Downloadable!] (restricted)
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  3. Perron, P, 1988. "The Great Crash, The Oil Price Shock And The Unit Root Hypothesis," Papers 338, Princeton, Department of Economics - Econometric Research Program.
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  4. Schwert, G William, 1989. "Tests for Unit Roots: A Monte Carlo Investigation," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(2), pages 147-59, April.
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  5. Franses, P.H. & McAleer, M., 1995. "Testing for Unit Roots and Non-Linear Transformations," Papers 9507/a, Erasmus University of Rotterdam - Econometric Institute.
  6. Lee, J. & Schmidt, P., 1991. "A Modification of the Schmidt-Phillips Unit Root Test," Papers 9001, Michigan State - Econometrics and Economic Theory.
    Other versions:
  7. Schmidt, Peter & Phillips, C B Peter, 1992. "LM Tests for a Unit Root in the Presence of Deterministic Trends," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 257-87, August.
  8. Campbell, Bryan & Dufour, Jean-Marie, 1995. "Exact Nonparametric Orthogonality and Random Walk Tests," The Review of Economics and Statistics, MIT Press, vol. 77(1), pages 1-16, February. [Downloadable!] (restricted)
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  9. McCabe, B. P. M., 1989. "Misspecification tests in econometrics based on ranks," Journal of Econometrics, Elsevier, vol. 40(2), pages 261-278, February. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Donald J. Brown & Rustam Ibragimov, 2005. "Sign Tests for Dependent Observations and Bounds for Path-Dependent Options," Cowles Foundation Discussion Papers 1518, Cowles Foundation, Yale University. [Downloadable!]
  2. Felipe M. Aparicio Acosta, 2003. "On The Record Properties Of Integrated Time Series," Statistics and Econometrics Working Papers ws036414, Universidad Carlos III, Departamento de Estadística y Econometría. [Downloadable!]
  3. Felipe M. Aparicio & Alvaro Escribano, 2003. "Cointegration Tests Based On Record Counting Statistics," Statistics and Econometrics Working Papers ws036615, Universidad Carlos III, Departamento de Estadística y Econometría. [Downloadable!]
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