Finance and Economics Discussion Series (FEDS)
December 2020
Latent Variables Analysis in Structural Models: A New Decomposition of the Kalman Smoother
Hess Chung, Cristina Fuentes-Albero, Matthias Paustian, and Damjan Pfajfar
Abstract:
This paper advocates chaining the decomposition of shocks into contributions from forecast errors to the shock decomposition of the latent vector to better understand model inference about latent variables. Such a double decomposition allows us to gauge the inuence of data on latent variables, like the data decomposition. However, by taking into account the transmission mechanisms of each type of shock, we can highlight the economic structure underlying the relationship between the data and the latent variables. We demonstrate the usefulness of this approach by detailing the role of observable variables in estimating the output gap in two models.
Accessible materials (.zip)
Keywords: Kalman smoother, latent variables, shock decomposition, data decomposition, double decomposition
DOI: https://doi.org/10.17016/FEDS.2020.100
PDF: Full Paper
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