triangular representation

A general inversion theorem for cointegration

A generalization of the Granger and the Johansen Representation
Theorems valid for any (possibly fractional) order of integration is pre-
sented. This Representation Theorem is based on inversion results that
characterize the order of the pole and the coefficients of the Laurent series
representation of the inverse of a matrix function around a singular point.
Explicit expressions of the matrix coefficients of the (polynomial) cointe-
grating relations, of the Common Trends and of the Triangular representa-

A general inversion theorem for cointegration

A generalization of the Granger and the Johansen Representation
Theorems valid for any (possibly fractional) order of integration is pre-
sented. This Representation Theorem is based on inversion results that
characterize the order of the pole and the coefficients of the Laurent series
representation of the inverse of a matrix function around a singular point.
Explicit expressions of the matrix coefficients of the (polynomial) cointe-
grating relations, of the Common Trends and of the Triangular representa-

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