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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.

Suggested Citation

  • Kourogenis, Nikolaos & Pittis, Nikitas, 2008. "Cointegration, variance shifts and the limiting distribution of the OLS estimator," Economics Letters, Elsevier, vol. 99(1), pages 103-106, April.
    • Handle: RePEc:eee:ecolet:v:99:y:2008:i:1:p:103-106
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    References listed on IDEAS

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    1. P. C. B. Phillips & S. N. Durlauf, 1986. "Multiple Time Series Regression with Integrated Processes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(4), pages 473-495.
    2. Burridge, Peter & Taylor, A. M. Robert, 2001. "On regression-based tests for seasonal unit roots in the presence of periodic heteroscedasticity," Journal of Econometrics, Elsevier, vol. 104(1), pages 91-117, August.
    3. Phillips, P C B, 1991. "Optimal Inference in Cointegrated Systems," Econometrica, Econometric Society, vol. 59(2), pages 283-306, March.
    4. Giuseppe Cavaliere, 2005. "Unit Root Tests under Time-Varying Variances," Econometric Reviews, Taylor & Francis Journals, vol. 23(3), pages 259-292.
    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(3), pages 468-497, December.
    6. Giuseppe Cavaliere & A. M. Robert Taylor, 2006. "Testing the Null of Co‐integration in the Presence of Variance Breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(4), pages 613-636, July.
    7. P.C.B. Phillips, 1988. "Reflections on Econometric Methodology," The Economic Record, The Economic Society of Australia, vol. 64(4), pages 344-359, December.
    8. repec:bla:ecorec:v:64:y:1988:i:187:p:344-59 is not listed on IDEAS
    9. 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.
    10. 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.
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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.
    2. Damen, Sven & Vastmans, Frank & Buyst, Erik, 2016. "The effect of mortgage interest deduction and mortgage characteristics on house prices," Journal of Housing Economics, Elsevier, vol. 34(C), pages 15-29.

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