The Integration Order of Vector Autoregressive Processes



10

References

Ahn, S. & C. Reinsel (1990) Estimation for partially nonstationary
multivariate autoregressive models.
Journal of the American Statis-
tical Association
85, 813-23.

Archontakis, F. (1998) An alternative proof of Granger’s represen-
tation theorem for I(1) systems through Jordan matrices.
Journal of
the Italian Statistical Society
7, 111-127.

Bauer, D. & M. Wagner (2003) A Canonical Form for Unit Root
Processes in the State Space Framework. Discussion paper, Univer-
sity of Bern.

Engle, R. & C. Granger (1987) Co-integration and Error Cor-
rection: Representation, Estimation, and Testing.
Econometrica 55,
251-276.

Engle, R. & S. Yoo (1991) Cointegrated economic time series: an
overview with new results. In Engle and Granger (ed.)
Long-run Eco-
nomic Relations: Readings in Cointegration
. Oxford: Oxford Univer-
sity Press.

Gregoire, S. (1999) Multivariate time series with various hidden unit
roots, Part I, Integral operator algebra and representation theorem.
Econometric Theory 15, 435-468.

Gregoire, S. & G. Laroque (1993) Multivariate integrated time
series: a polynomial error correction representation theorem.
Econo-
metric Theory
9, 329-342.

Haldrup, N. & M. Salomon (1998) Representation of I(2) cointe-
grated systems using the Smith-McMillan form.
Journal of Econo-
metrics
44, 303-325.

Johansen, S. (1988) The mathematical structure of error correction
models.
Contemporary Mathematics 80, 359-386.

Johansen, S. (1992) A representation of vector autoregressive pro-
cesses integrated of order 2.
Econometric Theory 8, 188-202.

Johansen, S. (1996) Likelihood-based Inference in Cointegrated Vec-
tor Auto-Regressive Models
. Oxford: Oxford University Press.

Johansen, S. (2005a) Representation of cointegrated autoregressive
process with application to fractional process. Manuscript, Univer-
sity of Copenhagen.

Johansen, S. (2005b) A representation theory for fractional autore-
gressive processes. Manuscript, University of Copenhagen.

la Cour, L. (1998) A parametric characterization of integrated vector
autoregressive (VAR) processes.
Econometric Theory 14, 187-199.

Neusser, K. (2000) An algebraic interpretation of cointegration. Eco-
nomics Letters
67, 273-281.

Paruolo, P. (1996) On the determination of integration indices in
I(2) systems.
Journal of Econometrics 72, 313-356.



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