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Inferential theory for generalized dynamic factor models

Matteo Barigozzi, Marc Hallin, Matteo Luciani and Paolo Zaffaroni

Journal of Econometrics, 2024, vol. 239, issue 2

Abstract: We provide the asymptotic distributional theory for the so-called General or Generalized Dynamic Factor Model (GDFM), laying the foundations for an inferential approach in the GDFM analysis of high-dimensional time series. By exploiting the duality between common shocks and dynamic loadings, we derive the asymptotic distribution and associated standard errors for a class of estimators for common shocks, dynamic loadings, common components, and impulse response functions. We present an empirical application aimed at constructing a “core” inflation indicator for the U.S. economy, which demonstrates the superiority of the GDFM-based indicator over the most common approaches, particularly the one based on Principal Components.

Keywords: High-dimensional time series; Generalized dynamic factor models; One-sided representations of dynamic factor models; Asymptotic distribution; Confidence intervals (search for similar items in EconPapers)
JEL-codes: C0 C01 E0 (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:239:y:2024:i:2:s0304407623000593

DOI: 10.1016/j.jeconom.2023.02.003

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Journal of Econometrics is currently edited by T. Amemiya, A. R. Gallant, J. F. Geweke, C. Hsiao and P. M. Robinson

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