Identification and Bayesian Estimation of Dynamic Factor Models
By Jushan Bai, Peng Wang. 2015
137 citations recorded by the source corpus.
We consider a set of minimal identification conditions for dynamic factor models. These conditions have economic interpretations and require fewer restrictions than the static factor framework. Under these restrictions, a standard structural vector autoregression (SVAR) with measurement errors can be embedded into a dynamic factor model. More generally, we also consider overidentification restrictions to achieve efficiency. We discuss general linear restrictions, either in the form of known factor loadings or cross-equation restrictions. We further consider serially correlated idiosyncratic errors with heterogeneous dynamics. A numerically stable Bayesian algorithm for the dynamic factor model with general parameter restrictions is constructed for estimation and inference. We show that a square-root form of the Kalman filter improves robustness and accuracy when sampling the latent factors. Confidence intervals (bands) for the parameters of interest such as impulse responses are readily computed. Similar identification conditions are also exploited for multilevel factor models, and they allow us to study the “spill-over” effects of the shocks arising from one group to another. Supplementary materials for technical details are available online.
Subfields: Economics and Econometrics
View Paper: https://www.semanticscholar.org/paper/88d6d1c4daf3b94368180ed9052c209ef1bc29c3
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In Economics and Econometrics
Citations in the corpus
- Tracking the Slowdown in Long-Run GDP Growth (2017, methodology): “We closely follow the Gibbssampling algorithm for DFMs proposed by Bai and Wang (2015) but extend it to include mixed frequencies, the timevarying intercept, and SV.”
- A Model of the Fed's View on Inflation (2017, unknown): “Finally, it is worth noting that the common and idiosyncratic trends in inflation and inflation expectations are identified up to a constant (see Bai and Wang, 2015, for a discussion on identification).”