Estimation of the lower and upper bounds on the probability of failure using subset simulation and random set theory

@article{Alvarez2018EstimationOT,
  title={Estimation of the lower and upper bounds on the probability of failure using subset simulation and random set theory},
  author={Diego A. Alvarez and Felipe Uribe and J. Hurtado},
  journal={Mechanical Systems and Signal Processing},
  year={2018},
  volume={100},
  pages={782-801}
}
Abstract Random set theory is a general framework which comprises uncertainty in the form of probability boxes, possibility distributions, cumulative distribution functions, Dempster-Shafer structures or intervals; in addition, the dependence between the input variables can be expressed using copulas. In this paper, the lower and upper bounds on the probability of failure are calculated by means of random set theory. In order to accelerate the calculation, a well-known and efficient probability… Expand
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