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From general State-Space to VARMAX models

Casals Carro, José and García Hiernaux, Alfredo and Jerez Méndez, Miguel (2010) From general State-Space to VARMAX models. [Working Paper or Technical Report] (Unpublished)

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Abstract

Fixed coecients State-Space and VARMAX models are equivalent, mea- ning that they are able to represent the same linear dynamics, being indis- tinguishable in terms of overall t. However, each representation can be specically adequate for certain uses, so it is relevant to be able to choose between them. To this end, we propose two algorithms to go from gen- eral State-Space models to VARMAX forms. The rst one computes the coecients of a standard VARMAX model under some assumptions while the second, which is more general, returns the coecients of a VARMAX echelon. These procedures supplement the results already available in the literature allowing one to obtain the State-Space model matrices correspond- ing to any VARMAX. The paper also discusses some applications of these procedures by solving several theoretical and practical problems.

Item Type:Working Paper or Technical Report
Uncontrolled Keywords:State-Space, VARMAX models, Canonical forms, Echelon.
Subjects:Social sciences > Economics > Finance
Social sciences > Economics > Economic indicators
Series Name:Documentos de trabajo del Instituto Complutense de Análisis Económico
Volume:UNSPECIFIED
Number:1002
ID Code:11450
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Deposited On:02 Nov 2010 10:38
Last Modified:26 Aug 2011 10:51

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