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Testing for a Valid Normalization of Cointegrating Vectors in Vector Autoregressive Processes

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Author Info

  • Luukkonen, Ritva
  • Ripatti, Antti
  • Saikkonen, Pentti

Abstract

This article develops test procedures for checking the validity of general normalizing restrictions imposed on cointegrating vectors in vector autoregressive processes. Such test procedures are of importance because normalizing restrictions, possibly combined with overidentifying restrictions, are often necessary for a proper interpretation of cointegrating vectors. The null hypothesis of the authors' tests assumes that the employed normalization is valid or, alternatively, that certain linear combinations of the considered series are not cointegrated. The asymptotic distribution theory of these tests agrees with that of likelihood ratio tests for cointegration. The practical usefulness of the proposed tests is demonstrated by Monte Carlo simulation and an empirical application to interest-rate data.

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Bibliographic Info

Article provided by American Statistical Association in its journal Journal of Business and Economic Statistics.

Volume (Year): 17 (1999)
Issue (Month): 2 (April)
Pages: 195-204

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Handle: RePEc:bes:jnlbes:v:17:y:1999:i:2:p:195-204

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Cited by:
  1. Koop, G. & Strachan, R.W. & van Dijk, H.K. & Villani, M., 2005. "Bayesian approaches to cointegratrion," Econometric Institute Research Papers EI 2005-13, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  2. Markku Lanne, 2000. "Near unit roots, cointegration, and the term structure of interest rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(5), pages 513-529.
  3. Mauricio, Jose Alberto, 2006. "Exact maximum likelihood estimation of partially nonstationary vector ARMA models," Computational Statistics & Data Analysis, Elsevier, vol. 50(12), pages 3644-3662, August.
  4. Holtemöller, Oliver, 2002. "Money and banks: Some theory and empirical evidence for Germany," SFB 373 Discussion Papers 2002,17, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  5. Paruolo Paolo, 2004. "The likelihood ratio test for the rank of a cointegration submatrix," Economics and Quantitative Methods qf04024, Department of Economics, University of Insubria.
  6. Ripatti, Antti & Saikkonen, Pentti, 1998. "Cointegrated Vector Autoregressive Processes with Continuous Structural Changes," Research Discussion Papers 29/1998, Bank of Finland.
  7. Bertocco Giancarlo, 2006. "Are banks special? A note on Tobin’s theory of financial intermediaries," Economics and Quantitative Methods qf0605, Department of Economics, University of Insubria.

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