Generalization of non-intrusive imprecise stochastic simulation for mixed uncertain variables

Song, Jingwen, Wei, Pengfei, Valdebenito, Marcos, Bi, Sifeng, Broggi, Matteo, Beer, Michael ORCID: 0000-0002-0611-0345 and Lei, Zuxiang
(2019) Generalization of non-intrusive imprecise stochastic simulation for mixed uncertain variables. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 134. p. 106316.

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Non-intrusive Imprecise Stochastic Simulation (NISS) is a recently developed general methodological framework for efficiently propagating the imprecise probability models and for estimating the resultant failure probability functions and bounds. Due to the simplicity, high efficiency, stability and good convergence, it has been proved to be one of the most appealing forward uncertainty quantification methods. However, the current version of NISS is only applicable for model with input variables characterized by precise and imprecise probability models. In real-world applications, the uncertainties of model inputs may also be characterized by non-probabilistic models such as interval model due to the extreme scarcity or imprecise information. In this paper, the NISS method is generalized for models with three kinds of mixed inputs characterized by precise probability model, non-probabilistic models and imprecise probability models respectively, and specifically, the interval model and distributional p-box model are exemplified. This generalization is realized by combining Bayes rule and the global NISS method, and is shown to conserve all the advantages of the classical NISS method. With this generalization, the three kinds of inputs can be propagated with only one set of function evaluations in a pure simulation manner, and two kinds of potential estimation errors are properly addressed by sensitivity indices and bootstrap. A numerical test example and the NASA uncertainty quantification challenging problem are solved to demonstrate the effectiveness of the generalized NISS procedure.

Item Type: Article
Uncontrolled Keywords: Non-intrusive imprecise stochastic simulation, Uncertainty quantification, Non-probabilistic, Imprecise probability, Sensitivity, Bayes rule, Interval model, Bootstrap
Depositing User: Symplectic Admin
Date Deposited: 11 Sep 2019 07:28
Last Modified: 19 Jan 2023 00:26
DOI: 10.1016/j.ymssp.2019.106316
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