Uncertainty management of safety-critical systems: A solution to the back-propagation problem

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  • University of Liverpool
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Original languageEnglish
Number of pages8
Publication statusPublished - 2015
Externally publishedYes
Event12th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2012 - Vancouver, Canada
Duration: 12 Jul 201515 Jul 2015

Conference

Conference12th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2012
Country/TerritoryCanada
CityVancouver
Period12 Jul 201515 Jul 2015

Abstract

In many engineering applications, the assessment of reliability has to be done within a limited amount of information, which does not allow to use exact values for the distributional hyperparameters. This is achieved defining probability boxes and assessing the reliability computing the failure probability bounds. Probability boxes are often obtained from known probability distribution functions represented by interval hyper-parameters. In the applications, not only it is of interest estimating the failure probability bounds, but it is also required to identify the extreme realizations leading to the estimated bounds. In this paper, we propose a strategy, based on the Kolmogorov-Smirnov test, to identify the parental distribution function that best fit the distribution of extreme realizations, obtained from the minmax propagation. From the results obtained comparing the strategy with a direct search, it has emerged that the proposed method is generally applicable and efficient.

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Uncertainty management of safety-critical systems: A solution to the back-propagation problem. / De Angelis, Marco; Patelli, Edoardo; Beer, Michael.
2015. Paper presented at 12th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2012, Vancouver, Canada.

Research output: Contribution to conferencePaperResearchpeer review

De Angelis, M, Patelli, E & Beer, M 2015, 'Uncertainty management of safety-critical systems: A solution to the back-propagation problem', Paper presented at 12th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2012, Vancouver, Canada, 12 Jul 2015 - 15 Jul 2015. https://doi.org/10.14288/1.0076201
De Angelis, M., Patelli, E., & Beer, M. (2015). Uncertainty management of safety-critical systems: A solution to the back-propagation problem. Paper presented at 12th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2012, Vancouver, Canada. https://doi.org/10.14288/1.0076201
De Angelis M, Patelli E, Beer M. Uncertainty management of safety-critical systems: A solution to the back-propagation problem. 2015. Paper presented at 12th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2012, Vancouver, Canada. doi: 10.14288/1.0076201
De Angelis, Marco ; Patelli, Edoardo ; Beer, Michael. / Uncertainty management of safety-critical systems : A solution to the back-propagation problem. Paper presented at 12th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2012, Vancouver, Canada.8 p.
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