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Asymptotic Inference on the Moving Average Impact Matrix in Cointegrated 1(1) VAR Systems

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Author Info
Paruolo, Paolo

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Abstract

This paper addresses the problem of inference on the moving average impact matrix and on its row and column spaces in cointegrated 1(1) VAR processes. The choice of bases (i.e., the identification) of these spaces, which is of interest in the definition of the common trend structure of the system, is discussed. Maximum likelihood estimators and their asymptotic distributions are derived, making use of a relation between properly normalized bases of orthogonal spaces, a result that may be of separate interest. Finally, Wald-type tests are given, and their use in connection with existing likelihood ratio tests is discussed.

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File URL: http://journals.cambridge.org/abstract_S026646660000565X
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Publisher Info
Article provided by Cambridge University Press in its journal Econometric Theory.

Volume (Year): 13 (1997)
Issue (Month): 01 (February)
Pages: 79-118
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Handle: RePEc:cup:etheor:v:13:y:1997:i:01:p:79-118_00

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  1. Paruolo Paolo, 2002. "Testing for common trends in conditional I(2) VAR models," Economics and Quantitative Methods qf0216, Department of Economics, University of Insubria. [Downloadable!]
  2. Roman Frydman & Michael D. Goldberg & Søren Johansen & Katarina Juselius, 2009. "A Resolution of the Purchasing Power Parity Puzzle: Imperfect Knowledge and Long Swings," CREATES Research Papers 2009-01, School of Economics and Management, University of Aarhus. [Downloadable!]
    Other versions:
  3. Fragiskos ARCHONTAKIS, 2001. "Testing the Order of Integration in a VAR Model for I(2) Variables," Economics Working Papers ECO2001/12, European University Institute. [Downloadable!]
  4. Majocchi Antonio & Pavione Enrica, 2002. "International franchising in Italy: trends and perspectives," Economics and Quantitative Methods qf0215, Department of Economics, University of Insubria. [Downloadable!]
  5. Helmut LÜTKEPOHL, 2004. "Recent Advances in Cointegration Analysis," Economics Working Papers ECO2004/12, European University Institute. [Downloadable!]
  6. I. Karpowicz, 2006. "Determinants of Emigrant Deposits in Cape Verde," IMF Working Papers 06/132, International Monetary Fund. [Downloadable!]
  7. Søren Johansen, 2007. "Some Identification Problems in the Cointegrated Vector Autoregressive Model," Discussion Papers 07-24, University of Copenhagen. Department of Economics. [Downloadable!]
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  8. Juan Zalduendo, 2006. "Determinants of Venezuela's Equilibrium Real Exchange Rate," IMF Working Papers 06/74, International Monetary Fund. [Downloadable!]
  9. Taku Yamamoto & Eiji Kurozumi, 2003. "Tests for Long-Run Granger Non-Causality in Cointegrated Systems," Hi-Stat Discussion Paper Series d03-01, Institute of Economic Research, Hitotsubashi University. [Downloadable!]
  10. Luca Antonio Ricci & Ronald MacDonald, 2003. "Estimation of the Equilibrium Real Exchange Rate for South Africa," IMF Working Papers 03/44, International Monetary Fund. [Downloadable!]
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  11. Fanelli, Luca & Paruolo, Paolo, 2007. "Speed of Adjustment in Cointegrated Systems," MPRA Paper 9174, University Library of Munich, Germany. [Downloadable!]
  12. Francisco Maeso Fernandez & Bernd Schnatz & Chiara Osbat, 2001. "Determinants of the Euro real effective exchange rate: a BEER/PEER approach," Working Paper Series 085, European Central Bank. [Downloadable!]
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  13. Paruolo Paolo, 2003. "Common trends and cycles in I(2) VAR systems," Economics and Quantitative Methods qf0217bis, Department of Economics, University of Insubria. [Downloadable!]
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  14. Omtzigt Pieter & Paruolo Paolo, 2002. "Impact factors," Economics and Quantitative Methods qf0203, Department of Economics, University of Insubria. [Downloadable!]
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  15. 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!]
    Other versions:
  16. Søren Johansen & Katarina Juselius & Roman Frydberg & Michael Goldberg, 2008. "Testing hypotheses in an I(2) model with applications to the persistent long swings in the Dmk/$ rate," CREATES Research Papers 2008-03, School of Economics and Management, University of Aarhus. [Downloadable!]
    Other versions:
  17. Kirstin Hubrich & Peter J. G. Vlaar, 2000. "Germany and the Euro Area: Differences in the Transmission Process of Monetary Policy," Econometric Society World Congress 2000 Contributed Papers 1802, Econometric Society, revised 08 Nov 2000. [Downloadable!]
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  18. Charalambos G. Tsangarides & Yasser Abdih, 2006. "FEER for the CFA Franc," IMF Working Papers 06/236, International Monetary Fund. [Downloadable!]
  19. Katarina Juselius, 2007. "The PPP Puzzle: What the Data Tell when Allowed to Speak Freely," Discussion Papers 07-33, University of Copenhagen. Department of Economics, revised Dec 2007. [Downloadable!]
  20. Juselius , Mikael & Kim, Moshe & Ringbom, Staffan, 2009. "Do markup dynamics reflect fundamentals or changes in conduct?," Research Discussion Papers 12/2009, Bank of Finland. [Downloadable!]
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