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On the small sample properties of weak exogeneity tests in cointegrated VAR models

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  • Brüggemann, Ralf

Abstract

We investigate the small sample properties of two types of weak exogeneity tests in cointegrated VAR models that are frequently used in applied work. The first one is the standard Likelihood Ratio (LR) test in the Johansen framework. The second test is based on mapping the cointegrated VAR model into VECM representation and then reducing the model using some model selection procedure before testing the significance of the alpha parameters. Results from Monte Carlo experiments indicate severe size distortions in both test types in small samples. We suggest a bootstrap version of the LR test, which can be used for size correction.

Suggested Citation

  • Brüggemann, Ralf, 2002. "On the small sample properties of weak exogeneity tests in cointegrated VAR models," SFB 373 Discussion Papers 2002,2, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  • Handle: RePEc:zbw:sfb373:20022
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    References listed on IDEAS

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    1. JØrgen Wolters & Helmut LØtkepohl, 1998. "A money demand system for German M3," Empirical Economics, Springer, vol. 23(3), pages 371-386.
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    4. Juselius, Katarina, 1995. "Do purchasing power parity and uncovered interest rate parity hold in the long run? An example of likelihood inference in a multivariate time-series model," Journal of Econometrics, Elsevier, vol. 69(1), pages 211-240, September.
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    6. Hendry, David F. & Ericsson, Neil R., 1991. "Modeling the demand for narrow money in the United Kingdom and the United States," European Economic Review, Elsevier, vol. 35(4), pages 833-881, May.
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    8. Juselius, Katarina, 1996. "An Empirical Analysis of the Changing Role of the German Bundesbank after 1983," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 58(4), pages 791-819, November.
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    12. Brüggemann, Ralf & Lütkepohl, Helmut, 2000. "Lag selection in subset VAR models with an application to a US monetary system," SFB 373 Discussion Papers 2000,37, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
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    More about this item

    Keywords

    Cointegration; weak exogeneity; bootstrap test; Subset VECM;

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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