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 |
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01-12-2003
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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. |
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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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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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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 |
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