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Community Detection in Partial Correlation Network Models

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  • Christian Brownlees
  • Guðmundur Stefán Guðmundsson
  • Gábor Lugosi

Abstract

We introduce a class of partial correlation network models with a community structure for large panels of time series. In the model, the series are partitioned into latent groups such that correlation is higher within groups than between them. We then propose an algorithm that allows one to detect the communities using the eigenvectors of the sample covariance matrix. We study the properties of the procedure and establish its consistency. The methodology is used to study real activity clustering in the United States.

Suggested Citation

  • Christian Brownlees & Guðmundur Stefán Guðmundsson & Gábor Lugosi, 2022. "Community Detection in Partial Correlation Network Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 40(1), pages 216-226, January.
  • Handle: RePEc:taf:jnlbes:v:40:y:2022:i:1:p:216-226
    DOI: 10.1080/07350015.2020.1798241
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    Cited by:

    1. Jianqing Fan & Ricardo Masini & Marcelo C. Medeiros, 2021. "Bridging factor and sparse models," Papers 2102.11341, arXiv.org, revised Sep 2022.

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