A fractional multivariate long memory model for the US and the Canadian real output

This paper uses an extension of the univariate tests of Robinson [J. Am. Stat. Assoc. 89 (1994) 1420] to the multivariate case. We examine the degrees of integration of the real output in the US and Canada throughout a bivariate system. The results show that if the disturbances are white noise, the...

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Published in:Economics letters Vol. 81; no. 3; pp. 355 - 359
Main Author: Gil-Alana, L.A.
Format: Journal Article
Language:English
Published: Elsevier B.V 01-12-2003
Elsevier
Series:Economics Letters
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Abstract This paper uses an extension of the univariate tests of Robinson [J. Am. Stat. Assoc. 89 (1994) 1420] to the multivariate case. We examine the degrees of integration of the real output in the US and Canada throughout a bivariate system. The results show that if the disturbances are white noise, the null hypothesis of two unit roots is rejected in favour of higher orders of integration. However, if a VAR(1) structure is assumed, the unit root null cannot be rejected. Thus, both series are clearly nonstationary in spite of the cross-correlation permitted across countries.
AbstractList This paper uses an extension of the univariate tests of Robinson [J. Am. Stat. Assoc. 89 (1994) 1420] to the multivariate case. We examine the degrees of integration of the real output in the US and Canada throughout a bivariate system. The results show that if the disturbances are white noise, the null hypothesis of two unit roots is rejected in favour of higher orders of integration. However, if a VAR(1) structure is assumed, the unit root null cannot be rejected. Thus, both series are clearly nonstationary in spite of the cross-correlation permitted across countries.
Author Gil-Alana, L.A.
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Cites_doi 10.2307/2291004
10.1016/0304-3932(89)90003-2
10.1016/S0304-4076(97)00038-9
10.1016/0304-4076(95)01732-1
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Keywords Fractional integration
C22
Multivariate tests
Long memory
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References Gil-Alana, L.A., 2003. Multivariate tests of nonstationary hypothesis. Forthcoming in South African Statistical Journal.
Diebold, Rudebusch (BIB2) 1989; 24
Robinson (BIB5) 1994; 89
Gil-Alana, Robinson (BIB4) 1997; 80
Baillie (BIB1) 1996; 73
Robinson (10.1016/S0165-1765(03)00217-9_BIB5) 1994; 89
Diebold (10.1016/S0165-1765(03)00217-9_BIB2) 1989; 24
10.1016/S0165-1765(03)00217-9_BIB3
Baillie (10.1016/S0165-1765(03)00217-9_BIB1) 1996; 73
Gil-Alana (10.1016/S0165-1765(03)00217-9_BIB4) 1997; 80
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  article-title: Testing of unit roots and other nonstationary hypotheses in macroeconomic time series
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  ident: 10.1016/S0165-1765(03)00217-9_BIB1
  article-title: Long memory processes and fractional integration in econometrics
  publication-title: Journal of Econometrics
  doi: 10.1016/0304-4076(95)01732-1
  contributor:
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SubjectTerms Canada
Correlation
Economic integration
Economic models
Economics
Fractional integration
Long memory
Memory
Model testing
Multivariate tests
Productivity
U.S.A
Title A fractional multivariate long memory model for the US and the Canadian real output
URI https://dx.doi.org/10.1016/S0165-1765(03)00217-9
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