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Combining permutation tests to rank systemically important banks

Author

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  • Lorenzo Frattarolo

    (Ca’ Foscari University of Venice)

  • Francesca Parpinel

    (Ca’ Foscari University of Venice)

  • Claudio Pizzi

    (Ca’ Foscari University of Venice)

Abstract

In this work we propose the use of a nonparametric procedure to investigate the relationship between the Regulator’s Global Systemically Important Banks (G-SIBs) classification and the equity-based systemic risk measures. The proposed procedure combines several permutation tests to investigate the equality of the multivariate distribution of two groups and assumes only the hypothesis of exchangeability of variables. In our novel approach, the weights used in the combination of tests are obtained using the Particle Swarm Optimization heuristic and quantify the informativeness about the selection. Finally, the p value of the combined test measures the reliability of the result. Empirical results about the selection of G-SIBs show how considering the systematic ( $$\beta $$ β ), stress ( $$\varDelta $$ Δ CoVaR) and connectedness components (in–out connection) of systemic risk cover more than $$70\%$$ 70 % of weight in all the considered years.

Suggested Citation

  • Lorenzo Frattarolo & Francesca Parpinel & Claudio Pizzi, 2020. "Combining permutation tests to rank systemically important banks," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 29(3), pages 581-596, September.
  • Handle: RePEc:spr:stmapp:v:29:y:2020:i:3:d:10.1007_s10260-019-00494-6
    DOI: 10.1007/s10260-019-00494-6
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    References listed on IDEAS

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    1. Nicoló Andrea Caserini & Paolo Pagnottoni, 2022. "Effective transfer entropy to measure information flows in credit markets," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 31(4), pages 729-757, October.

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