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'''Fast probability integration''' ('''FPI''') is a method of determining the probability of a class of events, particularly a failure event, that is faster to execute than [[Monte Carlo analysis]]. It is used where large numbers of time-variant variables contribute to the reliability of a system.
== Bibliography ==
* Beck, André T.; Melchers, Robert E., "Fatigue and fracture reliability analysis under random loading", pp. 2201–2204 in, Bathe, K.J (ed), ''Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics'' June 17–20, 2003, Elsevier, 2003 {{ISBN|008052947X}}.
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