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An Alternative Approach to the Asymptotic Theory of Spurious Regression, Cointegration, and Near Cointegration

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  • Tanaka, Katsuto

Abstract

An alternative approach is taken to the asymptotic theory of cointegration. The present approach gives a different expression for the limiting distributions of statistics associated with cointegration, which enables us to compute accurately the distribution functions. Alternative interpretations of cointegration are given and a notion of near cointegration is introduced. We then devise tests which take cointegration as the null and discuss the limiting local power under the alternative of near cointegration.

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  • Tanaka, Katsuto, 1993. "An Alternative Approach to the Asymptotic Theory of Spurious Regression, Cointegration, and Near Cointegration," Econometric Theory, Cambridge University Press, vol. 9(1), pages 36-61, January.
    • Handle: RePEc:cup:etheor:v:9:y:1993:i:01:p:36-61_00
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    Cited by:

    1. Quintos, Carmela E., 1998. "Stability tests in error correction models," Journal of Econometrics, Elsevier, vol. 82(2), pages 289-315, February.
    2. Marmol, Francesc, 1996. "Correlation theory of spuriously related higher order integrated processes," Economics Letters, Elsevier, vol. 50(2), pages 169-173, February.
    3. Khalaf, Lynda & Urga, Giovanni, 2014. "Identification robust inference in cointegrating regressions," Journal of Econometrics, Elsevier, vol. 182(2), pages 385-396.

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