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A note on Durbin's formula for the first-passage density

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Publication:578742
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DOI10.1016/0167-7152(87)90094-0zbMath0624.60063OpenAlexW1975134418MaRDI QIDQ578742

Igor Rychlik

Publication date: 1987

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(87)90094-0

zbMATH Keywords

regression methodboundary-crossing probabilityexit densityfirst zero-upcrossing


Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15)


Related Items

Chord-length distribution functions and Rice formulae. Application to random media, Evaluating nearly singular multinormal expectations with application to wave distributions, New bounds for the first passage, wave-length and amplitude densities, On estimating the rate of return, Numerical bounds for the distributions of the maxima of some one- and two-parameter Gaussian processes, Extremes, rainflow cycles and damage functionals in continuous random processes, Gaussian integrals and Rice series in crossing distributions -- to compute the distribution of maxima and other features of Gaussian processes



Cites Work

  • The first-passage density of a continuous gaussian process to a general boundary
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