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Unit Roots and Cointegrating Matrix Estimation using Subspace Methods

Alfredo Garcia-Hiernaux, Miguel Jerez and José Casals
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José Casals: Universidad Complutense de Madrid, Dpto. de Fundamentos del Análisis Económico II

Documentos de Trabajo del ICAE from Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico

Abstract: We propose a new procedure to detect unit roots based on subspace methods. It has three main original features. First, the same method can be applied to single or multiple time series. Second, it employs a flexible family of information criteria, which loss functions can be adapted to the statistical properties of the data. Last, it does not require the specification of a stochastic process for the series analyzed. Also, we provide a consistent estimator of the cointegrating rank and the cointegrating matrix. Simulation exercises show that the procedure has good finite sample properties. An example illustrates its application to real time series.

Keywords: State-space models; subspace methods; unit roots; cointegration. (search for similar items in EconPapers)
JEL-codes: C15 C32 C51 C87 (search for similar items in EconPapers)
Pages: 36 pages
Date: 2005
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