This workbook consists of exercises taken fromLikelihood-Based Inferences in Cointegrated Vector Autoregressive Modelsby Soren Johansen, together with worked-out solutions.
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1. Introduction 2. The Vector Autoregressive Model 3. Basic Definitions and Concepts 4. Cointegration and Representation of Integrated Variables 5. The I (1) Models and Their Interpretation 6. The Statistical Analysis of I (1) Models 7. Hypothesis Testing for the Long-Run Coefficients beta 8. Hypothesis Testing for alpha 9. The I (2) Model and a Test for I (2) 10. Probability Properties of I (1) Processes 11. The Asymptotic Distribution of the Test for Cointegrating Rank 12. Determination of Cointegrating Rank 13. Asymptotic Properties of the Estimators 14. The Power Function of the Test for Cointegrating Rank under Local Alternatives References