The statistical distribution of the maxima of a random function

1956860 citationsJournal Article

Authors

David E. Cartwright · National Institute of Oceanography

M. S. Longuet‐Higgins · National Institute of Oceanography

Abstract

Abstract This paper studies the statistical distribution of the maximum values of a random function which is the sum of an infinite number of sine waves in random phase. The results are applied to sea waves and to the pitching and rolling motion of a ship.

Topics & Keywords

Ship Hydrodynamics and Maneuverability

UN Sustainable Development Goals

Life below water

Publication Details

Published in: Proceedings of the Royal Society of London A Mathematical and Physical Sciences

Volume 237, Issue 1209, pp. 212-232

DOI: 10.1098/rspa.1956.0173

Field-Weighted Citation Impact: 32.01