The Hodrick-Prescott (HP) method is a popular smoothing method for economic time series to get a smooth or long-term component of stationary series like growth rates. We show that the HP smoother can be viewed as a Bayesian linear model with a strong prior using differencing matrices for the...

The study proposes a multivariate unobserved components model in order to examine relationships at business cycle frequencies among macroeconomic variables. The series are decomposed into non-stationary trends, stationary cycles, and an irregular component. The co-movements among the particular...