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Statistical Analysis of Cointegrated VAR Processes with Markovian Regime Shifts

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  • H. KROLZIG

Abstract

This paper suggests a new methodological approach to the analysis of cointegrated linear systems subject to changes in regime. We consider cointegrated vector autoregressive processes where Markovian shifts occur in the equilibrium mean and the drift of the system. A two-stage maximum likelihood estimation technique is proposed. In the first stage, based on a finite order VAR approximation of the cointegrated VARMA representation, the Johansen cointegration analysis is invoked to determine the cointegration rank and to estimate the cointegration matrix. An EM algorithm delivers the maximum likelihood estimates of the remaining parameters. The methodology is illustrated with an investigation of international and global business cycles.
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Suggested Citation

  • H. Krolzig, 1996. "Statistical Analysis of Cointegrated VAR Processes with Markovian Regime Shifts," SFB 373 Discussion Papers 1996,25, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  • Handle: RePEc:zbw:sfb373:199625
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