Palm distributions of wave characteristics in encountering seas

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dc.creatorAberg, Sofia
dc.creatorRychlik, Igor
dc.creatorLeadbetter, M. Ross
dc.date2008-06-17
dc.date.accessioned2026-07-07T12:19:33Z
dc.date.available2026-07-07T12:19:33Z
dc.descriptionDistributions 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.
dc.descriptionPublished in at http://dx.doi.org/10.1214/07-AAP480 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/0806.2718
dc.identifierhttp://arxiv.org/abs/0806.2718
dc.identifierAnnals of Applied Probability 2008, Vol. 18, No. 3, 1059-1084
dc.identifierdoi:10.1214/07-AAP480
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212794
dc.subjectProbability
dc.subjectChaotic Dynamics
dc.subjectFluid Dynamics
dc.subject60G15 (Primary) 60K40 (Secondary)
dc.titlePalm distributions of wave characteristics in encountering seas
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