Munich Personal RePEc Archive

On the Correlations of Trend-Cycle Errors

Wada, Tatsuma (2011): On the Correlations of Trend-Cycle Errors. Published in: Economics Letters , Vol. 116, No. 3 (September 2012): pp. 396-400.

[thumbnail of MPRA_paper_41754.pdf]

Download (689kB) | Preview


This note provides explanations for an unexpected result, namely, the estimated parameter of the correlation coefficient of the trend shock and cycle shock in the state–space model is almost always (positive or negative) unity, even when the true variance of the trend shock is zero. It is shown that the set of the true parameter values lies on the restriction that requires the variance–covariance matrix of the errors to be nonsingular, therefore, almost always the likelihood function has its (constrained) global maximum on the boundary where the correlation coefficient implies perfect correlation.

Atom RSS 1.0 RSS 2.0

Contact us: mpra@ub.uni-muenchen.de

This repository has been built using EPrints software.

MPRA is a RePEc service hosted by Logo of the University Library LMU Munich.