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Cointegration, variance shifts and the limiting distribution of the OLS estimator

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  • Kourogenis, Nikolaos
  • Pittis, Nikitas

Abstract

This paper investigates the performance of the OLS estimator in the context of a cointegrating system, which exhibits a single variance shift. It is shown that the limiting distribution of OLS and that of the associated t-statistic depend on the time, the size and the direction of the break.

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Bibliographic Info

Article provided by Elsevier in its journal Economics Letters.

Volume (Year): 99 (2008)
Issue (Month): 1 (April)
Pages: 103-106

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Handle: RePEc:eee:ecolet:v:99:y:2008:i:1:p:103-106

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  1. Giuseppe Cavaliere, 2003. "Unit root tests under time-varying variances," Quaderni di Dipartimento 2, Department of Statistics, University of Bologna.
  2. Peter C.B. Phillips & Joon Y. Park, 1986. "Statistical Inference in Regressions with Integrated Processes: Part 1," Cowles Foundation Discussion Papers 811R, Cowles Foundation for Research in Economics, Yale University, revised Aug 1987.
  3. Phillips, P C B, 1991. "Optimal Inference in Cointegrated Systems," Econometrica, Econometric Society, vol. 59(2), pages 283-306, March.
  4. Hamori, Shigeyuki & Tokihisa, Akira, 1997. "Testing for a unit root in the presence of a variance shift1," Economics Letters, Elsevier, vol. 57(3), pages 245-253, December.
  5. Peter C.B. Phillips, 1988. "Reflections on Econometric Methodology," Cowles Foundation Discussion Papers 893, Cowles Foundation for Research in Economics, Yale University.
  6. Peter C.B. Phillips & Steven N. Durlauf, 1985. "Multiple Time Series Regression with Integrated Processes," Cowles Foundation Discussion Papers 768, Cowles Foundation for Research in Economics, Yale University.
  7. Kim, Tae-Hwan & Leybourne, Stephen & Newbold, Paul, 2002. "Unit root tests with a break in innovation variance," Journal of Econometrics, Elsevier, vol. 109(2), pages 365-387, August.
  8. Giuseppe Cavaliere and A M Robert Taylor, 2005. "Testing the Null of Co-integration in the Presence of Variance Breaks," Discussion Papers 05-10, Department of Economics, University of Birmingham.
  9. Burridge, P. & Taylor, A.M.R., 1999. "On Regression-Based Tests for Seasonal Unit Roots in the Presence of Periodic Heteroscedasticity," Discussion Papers 99-10, Department of Economics, University of Birmingham.
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Cited by:
  1. Boswijk, H. Peter, 2010. "Nuisance parameter free inference on cointegration parameters in the presence of a variance shift," Economics Letters, Elsevier, vol. 107(2), pages 190-193, May.

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