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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

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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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Publisher 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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  1. Helmut LÜTKEPOHL, 2004. "Recent Advances in Cointegration Analysis," Economics Working Papers ECO2004/12, European University Institute. [Downloadable!]
  2. Paruolo Paolo, 2006. "Finite sample comparison of alternative tests on the rank of a cointegration submatrix," Economics and Quantitative Methods qf0605, Department of Economics, University of Insubria. [Downloadable!]
  3. 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. [Downloadable!]
  4. O. Holtemöller, . "Money and Banks: Some Theory and Empirical Evidence for Germany," Sonderforschungsbereich 373 2002-17, Humboldt Universitaet Berlin.
  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. [Downloadable!]
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