Distributions of spatial wave size for random fields
(2016) In Working Papers in Statistics- Abstract
- A method of measuring three-dimensional spatial
wave size is proposed and statistical distributions of the size characteristics are derived in explicit integral forms for Gaussian sea surfaces. New definitions of wave characteristics such as
the crest-height, the length, the size and the wave front location are provided in fully dimensional context. The joint statistical distributions of these wave characteristics are derived using the Rices formulas for expected numbers of local maximum and distance from a local maximum to a level crossing countour. Review of the Rice's method to study crossing distributions will be given.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/fbaa5000-4254-4f33-b186-1ba95de58579
- author
- Podgórski, Krzysztof LU and Rychlik, Igor LU
- organization
- publishing date
- 2016
- type
- Working paper/Preprint
- publication status
- published
- subject
- in
- Working Papers in Statistics
- issue
- 2016:7
- pages
- 10 pages
- publisher
- Department of Statistics, Lund university
- language
- English
- LU publication?
- yes
- id
- fbaa5000-4254-4f33-b186-1ba95de58579
- date added to LUP
- 2016-09-21 10:54:22
- date last changed
- 2021-10-04 04:00:16
@misc{fbaa5000-4254-4f33-b186-1ba95de58579, abstract = {{A method of measuring three-dimensional spatial<br/>wave size is proposed and statistical distributions of the size characteristics are derived in explicit integral forms for Gaussian sea surfaces. New definitions of wave characteristics such as <br/>the crest-height, the length, the size and the wave front location are provided in fully dimensional context. The joint statistical distributions of these wave characteristics are derived using the Rices formulas for expected numbers of local maximum and distance from a local maximum to a level crossing countour. Review of the Rice's method to study crossing distributions will be given.<br/>}}, author = {{Podgórski, Krzysztof and Rychlik, Igor}}, language = {{eng}}, note = {{Working Paper}}, number = {{2016:7}}, publisher = {{Department of Statistics, Lund university}}, series = {{Working Papers in Statistics}}, title = {{Distributions of spatial wave size for random fields}}, url = {{https://lup.lub.lu.se/search/files/12780376/16161_41340_1_PB.pdf}}, year = {{2016}}, }