Factor Network Autoregressions

Fuente: arXiv
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Autori principali: Barigozzi, Matteo, Cavaliere, Giuseppe, Moramarco, Graziano
Natura: Preprint
Pubblicazione: 2022
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author Barigozzi, Matteo
Cavaliere, Giuseppe
Moramarco, Graziano
author_facet Barigozzi, Matteo
Cavaliere, Giuseppe
Moramarco, Graziano
contents We propose a factor network autoregressive (FNAR) model for time series with complex network structures. The coefficients of the model reflect many different types of connections between economic agents ("multilayer network"), which are summarized into a smaller number of network matrices ("network factors") through a novel tensor-based principal component approach. We provide consistency and asymptotic normality results for the estimation of the factors, their loadings, and the coefficients of the FNAR, as the number of layers, nodes and time points diverges to infinity. Our approach combines two different dimension-reduction techniques and can be applied to high-dimensional datasets. Simulation results show the goodness of our estimators in finite samples. In an empirical application, we use the FNAR to investigate the cross-country interdependence of GDP growth rates based on a variety of international trade and financial linkages. The model provides a rich characterization of macroeconomic network effects as well as good forecasts of GDP growth rates.
format Preprint
id arxiv_https___arxiv_org_abs_2208_02925
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Factor Network Autoregressions
Barigozzi, Matteo
Cavaliere, Giuseppe
Moramarco, Graziano
Econometrics
We propose a factor network autoregressive (FNAR) model for time series with complex network structures. The coefficients of the model reflect many different types of connections between economic agents ("multilayer network"), which are summarized into a smaller number of network matrices ("network factors") through a novel tensor-based principal component approach. We provide consistency and asymptotic normality results for the estimation of the factors, their loadings, and the coefficients of the FNAR, as the number of layers, nodes and time points diverges to infinity. Our approach combines two different dimension-reduction techniques and can be applied to high-dimensional datasets. Simulation results show the goodness of our estimators in finite samples. In an empirical application, we use the FNAR to investigate the cross-country interdependence of GDP growth rates based on a variety of international trade and financial linkages. The model provides a rich characterization of macroeconomic network effects as well as good forecasts of GDP growth rates.
title Factor Network Autoregressions
topic Econometrics
url https://arxiv.org/abs/2208.02925