Open Access
June 2008 Palm distributions of wave characteristics in encountering seas
Sofia Aberg, Igor Rychlik, M. Ross Leadbetter
Ann. Appl. Probab. 18(3): 1059-1084 (June 2008). DOI: 10.1214/07-AAP480


Distributions of wave characteristics of ocean waves, such as wave slope, waveheight or wavelength, are an important tool in a variety of oceanographic applications such as safety of ocean structures or in the study of ship stability, as will be the focus in this paper. We derive Palm distributions of several wave characteristics that can be related to steepness of waves for two different cases, namely for waves observed along a line at a fixed time point and for waves encountering a ship sailing on the ocean. The relation between the distributions obtained in the two cases is also given physical interpretation in terms of a “Doppler shift” that is related to the velocity of the ship and the velocities of the individual waves.


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Sofia Aberg. Igor Rychlik. M. Ross Leadbetter. "Palm distributions of wave characteristics in encountering seas." Ann. Appl. Probab. 18 (3) 1059 - 1084, June 2008.


Published: June 2008
First available in Project Euclid: 26 May 2008

zbMATH: 1146.60032
MathSciNet: MR2418238
Digital Object Identifier: 10.1214/07-AAP480

Primary: 60G15
Secondary: 60K40

Keywords: Encountered waves , Gaussian process , level crossings , Palm distribution , Rice’s formula , wave velocity

Rights: Copyright © 2008 Institute of Mathematical Statistics

Vol.18 • No. 3 • June 2008
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