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Detecting groups in large vector autoregressions

Guðmundur Guðmundsson and Christian Brownlees

Journal of Econometrics, 2021, vol. 225, issue 1, 2-26

Abstract: This work introduces the stochastic block vector autoregressive (SB-VAR) model. In this class of vector autoregressions, the time series are partitioned into latent groups such that spillover effects are stronger among series that belong to the same group than otherwise. A key question that arises in this framework is how to detect the latent groups from a sample of observations generated by the model. To this end, we propose a group detection algorithm based on the eigenvectors of a function of the estimated autoregressive matrices. We establish that the proposed algorithm consistently detects the groups when the cross-sectional and time-series dimensions are sufficiently large. The methodology is applied to study the group structure of a panel of risk measures of top financial institutions in the United States and a panel of word counts extracted from Twitter.

Keywords: Vector autoregressions; Time series; Random graphs; Community detection; Spectral clustering; Forecasting (search for similar items in EconPapers)
JEL-codes: C3 C32 C55 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:225:y:2021:i:1:p:2-26

DOI: 10.1016/j.jeconom.2021.03.012

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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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