Regression approximations of wavelength and amplitude distributions
- 1 June 1987
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 19 (2) , 396-430
- https://doi.org/10.2307/1427425
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
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