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Cointegration Tests Based On Record Counting Statistics

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Author Info
Felipe M. Aparicio ()
Alvaro Escribano ()

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Abstract

This paper presents of number of cointegration tests that exploit the statistical properties of the records from the original time series variables. We prove their consistency and obtain their asymptotic null distributions. Among the advantages of this novel methodology, the new tests are invariant with respect to the individual series’ variances and also with respect to monotonic transformations applied to these series. In addition, these tests are robust against the presence of level breaks as long as the number of these breaks increases slowly enough with the sample size. Finally, an alternative scheme is proposed to deal with additive outliers, which prevent them from causing size distortions.

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Paper provided by Universidad Carlos III, Departamento de Estadística y Econometría in its series Statistics and Econometrics Working Papers with number ws036615.

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Date of creation: Oct 2003
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Handle: RePEc:cte:wsrepe:ws036615

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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 & Durlauf, S N, 1986. "Multiple Time Series Regression with Integrated Processes," Review of Economic Studies, Blackwell Publishing, vol. 53(4), pages 473-95, August. [Downloadable!] (restricted)
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  3. Rappoport, Peter & Reichlin, Lucrezia, 1989. "Segmented Trends and Non-stationary Time Series," Economic Journal, Royal Economic Society, vol. 99(395), pages 168-77, Supplemen. [Downloadable!] (restricted)
  4. Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March. [Downloadable!] (restricted)
  5. Campbell, John Y. & Shiller, Robert J., 1988. "Interpreting cointegrated models," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 505-522. [Downloadable!] (restricted)
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  6. 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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  7. Granger, C. W. J., 1981. "Some properties of time series data and their use in econometric model specification," Journal of Econometrics, Elsevier, vol. 16(1), pages 121-130, May. [Downloadable!] (restricted)
  8. Felipe M. Aparicio & Alvaro Escribano & Ana García, 2003. "Range Unit Root Tests," Statistics and Econometrics Working Papers ws031126, Universidad Carlos III, Departamento de Estadística y Econometría. [Downloadable!]
  9. Perron, Pierre & Vogelsang, Timothy J, 1992. "Nonstationarity and Level Shifts with an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 301-20, July.
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  10. Perron, Pierre, 1990. "Testing for a Unit Root in a Time Series with a Changing Mean," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 153-62, April.
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  11. Breitung, Jorg & Gourieroux, Christian, 1997. "Rank tests for unit roots," Journal of Econometrics, Elsevier, vol. 81(1), pages 7-27, November. [Downloadable!] (restricted)
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  12. Peter C.B. Phillips, 1985. "Understanding Spurious Regressions in Econometrics," Cowles Foundation Discussion Papers 757, Cowles Foundation, Yale University. [Downloadable!]
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  13. Granger, Clive W J & Hallman, Jeffrey J, 1991. "Long Memory Series with Attractors," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 53(1), pages 11-26, February.
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  14. Montañés, Antonio & Reyes, Marcelo, 2000. "Structural breaks, unit roots and methods for removing the autocorrelation pattern," Statistics & Probability Letters, Elsevier, vol. 48(4), pages 401-409, July. [Downloadable!] (restricted)
  15. Felipe M. Aparicio & Alvaro Escribano & Ana García, 2004. "A Range Unit Root Test," Statistics and Econometrics Working Papers ws041104, Universidad Carlos III, Departamento de Estadística y Econometría. [Downloadable!]
  16. Gregory, Allan W. & Nason, James M. & Watt, David G., 1996. "Testing for structural breaks in cointegrated relationships," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 321-341. [Downloadable!] (restricted)
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  17. Granger, C. W. J. & Newbold, P., 1974. "Spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 2(2), pages 111-120, July. [Downloadable!] (restricted)
  18. Alvaro Escribano & Clive W.J. Granger, 1996. "Investigating the Relationship between Gold and Silver Prices," University of California at San Diego, Economics Working Paper Series 96-38, Department of Economics, UC San Diego. [Downloadable!]
  19. C.W.J. Granger & Jeff Hallman, 1988. "The algebra of I (1)," Finance and Economics Discussion Series 45, Board of Governors of the Federal Reserve System (U.S.).
  20. F. M. Aparicio & A. Escribano, 1998. "Information-Theoretic Analysis of Serial Dependence and Cointegration," Studies in Nonlinear Dynamics & Econometrics, Berkeley Electronic Press, vol. 3(3). [Downloadable!]
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