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Canonical Cointegrating Regression and Testing for Cointegration in the Presence of I(1) and I(2) Variables

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  • Choi, In
  • Park, Joon Y.
  • Yu, Byungchul

Abstract

This paper introduces tests for the null of cointegration in the presence of I(1) and I(2) variables. These tests use residuals from Park's (1992, Econometrica 60,119–143) canonical cointegrating regression (CCR) and the leads-and-lags regression of Saikkonen (1991, Econometric Theory 9,1–21) and Stock and Watson (1993, Econometrica 61, 783–820). Asymptotic theory for CCR in the presence of I(1) and I(2) variables is also introduced. The distributions of the cointegration tests are nonstandard, and hence their percentiles are tabulated by using simulation. Monte Carlo simulation results to study the finite sample performance of the CCR estimates and the cointegration tests are also reported.

Suggested Citation

  • Choi, In & Park, Joon Y. & Yu, Byungchul, 1997. "Canonical Cointegrating Regression and Testing for Cointegration in the Presence of I(1) and I(2) Variables," Econometric Theory, Cambridge University Press, vol. 13(6), pages 850-876, December.
    • Handle: RePEc:cup:etheor:v:13:y:1997:i:06:p:850-876_00
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    Cited by:

    1. Niels Haldrup & Peter Lildholdt, 2005. "Local power functions of tests for double unit roots," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 59(2), pages 159-179, May.
    2. Qunyong Wang & Na Wu, 2012. "Long-run covariance and its applications in cointegration regression," Stata Journal, StataCorp LP, vol. 12(3), pages 525-542, September.
    3. Niels Haldrup & Peter Lildholdt, 2002. "On the Robustness of Unit Root Tests in the Presence of Double Unit Roots," Journal of Time Series Analysis, Wiley Blackwell, vol. 23(2), pages 155-171, March.
    4. Oluwatobi Joshua OLOFIN & Adeleke Gabriel AREMO (Ph.D) & Olabode Philp OLOFIN (Ph.D) & Oluwafemi Olawale OKUNADE, 2023. "Neighborhood Effect, Agricultural Development and Poverty Level in Nigeria," International Journal of Research and Innovation in Social Science, International Journal of Research and Innovation in Social Science (IJRISS), vol. 7(5), pages 705-726, May.
    5. Horowitz, Joel L. & Savin, N. E., 2000. "Empirically relevant critical values for hypothesis tests: A bootstrap approach," Journal of Econometrics, Elsevier, vol. 95(2), pages 375-389, April.
    6. Taha Zaghdoudi, 2018. "Asymmetric responses of CO2 emissions to oil price shocks in China: a non-linear ARDL approach," Economics Bulletin, AccessEcon, vol. 38(3), pages 1485-1493.

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