Exploiting the precision of FORM and the accuracy of importance sampling for estimating failure probability and its sensitivity

Marcos A. Valdebenito, Matthias G.R. Faes

Research output: Contribution to journalArticlepeer-review

Abstract

Calculation of failure probabilities and probability sensitivities are very relevant problems in structural reliability. Two of the most widespread methods for estimating such quantities are the First-Order Reliability Method (FORM) and Importance Sampling using design points (IS). This work explores how to employ both approaches in a synergistic way within the framework of Control Variates with Splitting. The results obtained indicate that such a strategy allows obtaining improved estimates of the failure probability and its sensitivity without incurring into additional system analyses. Examples illustrate the application of this framework.

Original languageEnglish
JournalCivil Engineering and Environmental Systems
DOIs
StateAccepted/In press - 2025
Externally publishedYes

Keywords

  • Failure probability
  • control variates
  • first-order reliability method
  • importance sampling
  • sensitivity analysis
  • splitting

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