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Testing normalization and overidentification of cointegrating vectors in vector autoregressive processes

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Author Info

  • Pentti Saikkonen

Abstract

This paper develops test procedures for testing the validity of general linear identifying restrictions imposed on cointegrating vectors in the context of a vector autoregressive model. In addition to overidentifying restrictions the considered restrictions may also involve normalizing restrictions. Tests for both types of restrictions are developed and their asymptotic properties are obtained. Under the null hypothesis tests for normalizing restrictions have an asymptotic "multivariate unit root distribution", similar to that obtained for the likelihood ratio test for cointegration, while tests for overidentifying restrictions have a standard chi-square limiting distribution. Since these two types of tests are asymptotically independent they are easy to cotnbine to an overall test for the spccifed identifying restrictions. An overall test of this kind can consistently reveal the failure of the identifying restrictions in a wider class of cases than previous tests which only test for overidentifying restrictions.

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Bibliographic Info

Article provided by Taylor & Francis Journals in its journal Econometric Reviews.

Volume (Year): 18 (1999)
Issue (Month): 3 ()
Pages: 235-257

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Handle: RePEc:taf:emetrv:v:18:y:1999:i:3:p:235-257

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Related research

Keywords: and phrases; cointegration; normalizing restrictions; overidentifying restrictions; vector autoregressive process;

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Cited by:
  1. Jörg Breitung, 2002. "A parametric approach to the estimation of cointegration vectors in panel data," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 B5-4, International Conferences on Panel Data.
  2. Kleibergen, F.R. & Paap, R., 2003. "Generalized Reduced Rank Tests using the Singular Value Decomposition," Econometric Institute Research Papers EI 2003-01, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  3. 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.
  4. Karaman Örsal, Deniz Dilan & Droge, Bernd, 2014. "Panel cointegration testing in the presence of a time trend," Computational Statistics & Data Analysis, Elsevier, vol. 76(C), pages 377-390.

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