Excursion probability

id: excursion-probability-286-1828665
title: Excursion probability
text: In probability theory, an excursion probability is the probability that a stochastic process surpasses a given value in a fixed time period. It is the probability Numerous approximation methods for the situation where u is large and f(t) is a Gaussian process have been proposed such as Rice's formula. First-excursion probabilities can be used to describe deflection to a critical point experienced by structures during "random loadings, such as earthquakes, strong gusts, hurricanes, etc."
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Excursion_probability
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date modified: 2024-03-13T03:24:02Z
main entity: {"identifier":"Q5419724","url":"https://www.wikidata.org/entity/Q5419724"}
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