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Uncertainty Analysis in Fault Tree Models with Dependent Basic Events
Author(s) -
Pedroni Nicola,
Zio Enrico
Publication year - 2013
Publication title -
risk analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.972
H-Index - 130
eISSN - 1539-6924
pISSN - 0272-4332
DOI - 10.1111/j.1539-6924.2012.01903.x
Subject(s) - exemplification , event (particle physics) , fault tree analysis , statistical physics , mathematics , affect (linguistics) , tree (set theory) , econometrics , envelope (radar) , statistics , computer science , epistemology , psychology , physics , combinatorics , engineering , philosophy , quantum mechanics , reliability engineering , communication , telecommunications , radar
In general, two types of dependence need to be considered when estimating the probability of the top event (TE) of a fault tree (FT): “objective” dependence between the (random) occurrences of different basic events (BEs) in the FT and “state‐of‐knowledge” (epistemic) dependence between estimates of the epistemically uncertain probabilities of some BEs of the FT model. In this article, we study the effects on the TE probability of objective and epistemic dependences. The well‐known Frèchet bounds and the distribution envelope determination (DEnv) method are used to model all kinds of (possibly unknown) objective and epistemic dependences, respectively. For exemplification, the analyses are carried out on a FT with six BEs. Results show that both types of dependence significantly affect the TE probability; however, the effects of epistemic dependence are likely to be overwhelmed by those of objective dependence (if present).