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The Johansen-Granger Representation Theorem: An Explicit Expression for I(1) Processes

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  • Hansen, Peter Reinhard

Abstract

The Johansen-Granger representation theorem for the cointegrated vector autoregressive process is derived using the companion form. This approach yields an explicit representation of all coefficients and initial values. This result is useful for impulse response analysis, common feature analysis and asymptotic analysis of cointegrated processes.

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  • Hansen, Peter Reinhard, 2000. "The Johansen-Granger Representation Theorem: An Explicit Expression for I(1) Processes," University of California at San Diego, Economics Working Paper Series qt832256dg, Department of Economics, UC San Diego.
    • Handle: RePEc:cdl:ucsdec:qt832256dg
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    1. Johansen, Soren & Schaumburg, Ernst, 1998. "Likelihood analysis of seasonal cointegration," Journal of Econometrics, Elsevier, vol. 88(2), pages 301-339, November.
    2. Hylleberg, S. & Engle, R. F. & Granger, C. W. J. & Yoo, B. S., 1990. "Seasonal integration and cointegration," Journal of Econometrics, Elsevier, vol. 44(1-2), pages 215-238.
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