Regression approximations of wavelength and amplitude distributions

Authors
Citation
Rychlik, Igor, Regression approximations of wavelength and amplitude distributions, Advances in applied probability , 19(2), 1987, pp. 396-430
ISSN journal
00018678
Volume
19
Issue
2
Year of publication
1987
Pages
396 - 430
Database
ACNP
SICI code
Abstract
A regression approximation of wavelength and amplitude distribution in an almost surely continuous process . (t), is based on a successively more detailed decomposition, . (t) = . n(t) + .n(t), into one regression term . n on n suitably chosen random quantities, and one residual process .n. 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.