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Regression approximations of wavelength and amplitude distributions

Published online by Cambridge University Press:  01 July 2016

Igor Rychlik
Igor Rychlik*
Affiliation:
University of Lund
*
∗Postal address: Department of Mathematical Statistics, University of Lund, Box 118, S-221 00 Lund, Sweden.
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Abstract

A regression approximation of wavelength and amplitude distribution in an almost surely continuous process η (t), is based on a successively more detailed decomposition, η (t) = η n(t) + Δn(t), into one regression term η n on n suitably chosen random quantities, and one residual process Δn. The distances between crossings, maxima, etc., are then approximated by the corresponding quantities in the regression term, and explicit expressions given for the densities of these quantities.

Keywords

CROSSINGSFATIGUEMAXIMAPERIODS ANALYSISSLEPIAN MODEL PROCESSWAVE-HEIGHT
Type
Research Article
Information
Advances in Applied Probability , Volume 19 , Issue 2 , June 1987 , pp. 396 - 430
Copyright
Copyright © Applied Probability Trust 1987 

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Footnotes

Research supported in part by the National Swedish Board for Technical Development under contract No 83-3042.

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