Abstract
The search algorithm presented allows the CDF of a dependent variable to be bounded with 100% confidence, and allows for a guaranteed evaluation of the error involved. These reliability bounds are often enough to make decisions, and often require a minimal number of function evaluations. The procedure is not intrusive, i.e. it can be equally applied when the function is a complex computer model (black box). The proposed procedure can handle input information consisting of probabilistic, interval-valued, set-valued, or random-set-valued information, as well as any combination thereof. The function as well as the joint pdf of the input variables can be of any type.
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Tonon, F. A Search Algorithm for Calculating Validated Reliability Bounds. Reliable Comput 13, 195–209 (2007). https://doi.org/10.1007/s11155-006-9025-2
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DOI: https://doi.org/10.1007/s11155-006-9025-2