Abstract We develop efficient Monte Carlo methods for estimating the failure probability of a
system. An example of the problem comes from an approach for probabilistic safety …

This paper aims at presenting sensitivity estimators of a rare event probability in the context
of uncertain distribution parameters (which are often not known precisely or poorly estimated …

Monte Carlo simulation of expert judgments on human errors in a chemical analysis was
used for determination of distributions of the error quantification scores (scores of likelihood …

Models for the assessment of the risk of complex engineering systems are affected by
uncertainties due to the randomness of several phenomena involved and the incomplete …

The classification, modeling, and quantification of human errors in routine chemical analysis
are described. Classifications include commission errors (mistakes and violations) and …

Safety systems are significant to reduce or prevent risk from potentially dangerous activities
in industry. Probability of failure to perform its functions on demand (PFD) for safety system …

When making computational simulation predictions of multiphysics engineering systems,
sources of uncertainty in the prediction need to be acknowledged and included in the …

The use of evidence theory and associated cumulative plausibility functions (CPFs),
cumulative belief functions (CBFs), cumulative distribution functions (CDFs), complementary …

Abstract Representations for margins associated with loss of assured safety (LOAS) for weak
link (WL)/strong link (SL) systems involving multiple time-dependent failure modes are …

Abstract Representations are developed and illustrated for the distribution of link property
values at the time of link failure in the presence of aleatory uncertainty in link properties. The …