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Tests of Rank in Reduced Rank Regression Models

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Abstract

Recently, there has been renewed research interest in the development of tests of the rank of a matrix based on a root- Tconsistent estimator. This paper evaluates the performance of some asymptotic tests of rank determination in reduced rank regression models through simulation experiments together with their bootstrapped versions. The bootstrapped procedures significantly improve upon the performance of the corresponding asymptotic tests. The tests of rank considered are applied to construct reduced rank VAR models of leading indicators of UK economic activity and these more parsimonious multivariate representations improve the forecasting performance of VAR models.

Suggested Citation

  • Dr Martin Weale, 1999. "Tests of Rank in Reduced Rank Regression Models," National Institute of Economic and Social Research (NIESR) Discussion Papers 150, National Institute of Economic and Social Research.
    • Handle: RePEc:nsr:niesrd:150
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    Cited by:

    1. Andrea Carriero & George Kapetanios & Massimiliano Marcellino, 2011. "Forecasting large datasets with Bayesian reduced rank multivariate models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 26(5), pages 735-761, August.
    2. Massimiliano Marcellino & George Kapetanios, 2006. "Impulse Response Functions from Structural Dynamic Factor Models:A Monte Carlo Evaluation," Working Papers 306, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    3. Fujiwara, Ippei & Koga, Maiko, 2004. "A Statistical Forecasting Method for Inflation Forecasting: Hitting Every Vector Autoregression and Forecasting under Model Uncertainty," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 22(1), pages 123-142, March.
    4. Gianluca Cubadda, 2007. "A Reduced Rank Regression Approach to Coincident and Leading Indexes Building," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 69(2), pages 271-292, April.
    5. Donald, Stephen G. & Fortuna, Natércia & Pipiras, Vladas, 2007. "On Rank Estimation In Symmetric Matrices: The Case Of Indefinite Matrix Estimators," Econometric Theory, Cambridge University Press, vol. 23(6), pages 1217-1232, December.
    6. Andrea Carriero & George Kapetanios & Massimiliano Marcellino, 2007. "Forecasting Large Datasets with Reduced Rank Multivariate Models," Working Papers 617, Queen Mary University of London, School of Economics and Finance.

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