A Matrix-Variate t Model for Networks

Networks represent a useful tool to describe relationships among financial firms and network analysis has been extensively used in recent years to study financial connectedness. An aspect, which is often neglected, is that network observations come with errors from different sources, such as estimat...

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Published in:Frontiers in artificial intelligence Vol. 4; p. 674166
Main Authors: Billio, Monica, Casarin, Roberto, Costola, Michele, Iacopini, Matteo
Format: Journal Article
Language:English
Published: Switzerland Frontiers Media S.A 13-05-2021
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Summary:Networks represent a useful tool to describe relationships among financial firms and network analysis has been extensively used in recent years to study financial connectedness. An aspect, which is often neglected, is that network observations come with errors from different sources, such as estimation and measurement errors, thus a proper statistical treatment of the data is needed before network analysis can be performed. We show that node centrality measures can be heavily affected by random errors and propose a flexible model based on the matrix-variate distribution and a Bayesian inference procedure to de-noise the data. We provide an application to a network among European financial institutions.
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This article was submitted to Artificial Intelligence in Finance, a section of the journal Frontiers in Artificial Intelligence
Edited by: Joerg Osterrieder, Zurich University of Applied Sciences, Switzerland
Reviewed by: Andriette Bekker, University of Pretoria, South Africa; Bertrand Kian Hassani, University College London, United Kingdom
ISSN:2624-8212
2624-8212
DOI:10.3389/frai.2021.674166