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Robust statistical modelling of the bridge overload risk caused by extreme traffic load hazard

  • Mattia Cefis
  • Maurizio Carpita

In this research we adopt an advanced statistical approach for modeling bridge overload risk caused by extreme traffic. Starting from studies in transportation engineering, which identify the Frequency (F) and Severity (S) of bridge failure events as key components for risk assessment, we employ a Limited Dependent Variable Bivariate Probit Model to analyze these two potentially correlated dependent variables: a first “selection” equation for F and a second “outcome” equation for S conditional to F greater than a fixed threshold. With this statistical approach we take into account the potential correlation between the error terms of these two equations of the full bivariate model. A Stratified Bootstrap Procedure is used to test the model's stability and robustness. Preliminary results highlight a significant correlation between the residuals of the two equations within the Bivariate Probit framework. This study is developed as part of the Project Spoke N. 7 ”CCAM, Connected networks and Smart Infrastructures” of the ”Sustainable Mobility Center (MOST)”, 2022-2026, CUP D83C22000690001, funded by the European Union (EU) and the Italian Ministry for Universities and Research (MUR), National Recovery and Resilience Plan (NRRP).

  • Keywords:
  • Overload risk,
  • Limited dependent variables,
  • Bivariate Probit Model,
  • Traffic overload,
  • Risk assessment,
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Mattia Cefis

University of Brescia, Italy - ORCID: 0000-0003-1316-4605

Maurizio Carpita

University of Brescia, Italy - ORCID: 0000-0001-7998-5102

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  • Anno di pubblicazione: 2026
  • Pagine: 141-146

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  • Anno di pubblicazione: 2026

Informazioni sul capitolo

Titolo del capitolo

Robust statistical modelling of the bridge overload risk caused by extreme traffic load hazard

Autori

Mattia Cefis, Maurizio Carpita

Lingua

Inglese

DOI

10.36253/979-12-215-1062-1.26

Opera sottoposta a peer review

Anno di pubblicazione

2026

Copyright

© 2026 Author(s)

Licenza d'uso

CC BY 4.0

Licenza dei metadati

CC0 1.0

Informazioni bibliografiche

Titolo del libro

Data, Statistics and AI for Well-Being of People and Organisations

Curatori

Luigi Fabbris, Alberto Franci, Pietro Renzi

Opera sottoposta a peer review

Numero di pagine

420

Anno di pubblicazione

2026

Copyright

© 2026 Author(s)

Licenza d'uso

CC BY 4.0

Licenza dei metadati

CC0 1.0

Editore

Firenze University Press

DOI

10.36253/979-12-215-1062-1

ISBN Print

979-12-215-1061-4

eISBN (pdf)

979-12-215-1062-1

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979-12-215-1063-8

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Applied Statistics Series

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