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Erschienen in:
2009 | OriginalPaper | Buchkapitel
Cointegration: Overview and Development
verfasst von : Søren Johansen
Erschienen in: Handbook of Financial Time Series
Verlag: Springer Berlin Heidelberg
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This article presents a survey of the analysis of cointegration using the vector autoregressive model. After a few illustrative economic examples, the three model based approaches to the analysis of cointegration are discussed.The vector autoregressive model is defined and the moving average representation of the solution, the Granger representation, is given. Next the interpretation of the model and its parameters and likelihood based inference follows using reduced rank regression. The asymptotic analysis includes the distribution of the Gaussian maximum likelihood estimators, the rank test, and test for hypotheses on the cointegrating vectors. Finally, some applications and extensions of the basic model are mentioned and the survey concludes with some open problems.