The two-barrier problem for continuously differentiable processes
Keyword(s):
An efficient algorithm to compute upper and lower bounds for the first-passage time in the presence of a second absorbing barrier by means of a continuously differentiable decomposable process, e.g. a smooth function of a continuously differentiable Gaussian vector field, is given. The method is used to obtain accurate approximations for the joint density of the zero-crossing wavelength and amplitude and the distribution of the rainflow cycle amplitude. Numerical examples illustrating the results are also given.
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1977 ◽
Vol 304
(6)
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pp. 231-242
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Keyword(s):
2021 ◽
Vol 572
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pp. 125837
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Keyword(s):
2004 ◽
Vol 117
(3-4)
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pp. 703-737
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1989 ◽
Vol 3
(1)
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pp. 77-88
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