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The Generalized Dynamic-Factor Model: Identification and Estimation

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Forni, Mario, Hallin, Marc, Lippi, Marco, Reichlin, Lucrezia·2000·Review of Economics and Statistics

Abstract

This paper proposes a factor model with infinite dynamics and nonorthogonal idiosyncratic components. The model, which we call the generalized dynamic-factor model, is novel to the literature and generalizes the static approximate factor model of Chamberlain and Rothschild (1983), as well as the exact factor model à la Sargent and Sims (1977). We provide identification conditions, propose an estimator of the common components, prove convergence as both time and cross-sectional size go to infinity at appropriate rates, and present simulation results. We use our model to construct a coincident index for the European Union. Such index is defined as the common component of real GDP within a model including several macroeconomic variables for each European country.

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Metadata

Authors
Forni, M., Hallin, M., Lippi, M., & Reichlin, L.
Venue
Review of Economics and Statistics
Publisher
MIT Press
Published
2000-11
Volume
82
Issue
4
Pages
540-554
ISSN
  • 0034-6535 (ISSN-L)
  • 1530-9142
OpenAlex
W1991135386
Cited by
1,709
References
0
FWCI
24.84
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: The Generalized Dynamic-Factor Model: Identification and Estimation. https://app.cochat.ai/papers/10.1162/003465300559037
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Forni, M., Hallin, M., Lippi, M., & Reichlin, L. (2000). The Generalized Dynamic-Factor Model: Identification and Estimation. Review of Economics and Statistics. https://doi.org/10.1162/003465300559037

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.