PRACTITIONERS' CORNER:Triangular Representation and Error Correction Mechanism in Cointegrated Systems

ABSTRACT In this paper we provide a proof of the ‘Granger representation theorem’ starting from Phillips' triangular representation of a cointegrated system. Proofs of the theorem have already been provided but starting either from the MA representation or from the AR representation. Conversely, we derive and characterize analytically the MA and the AR representations in terms of the parameters of the triangular system.