Article,

The Statistical Distribution of the Maxima of a Random Function

, and .
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 237 (1209): 212--232 (Oct 9, 1956)
DOI: 10.1098/rspa.1956.0173

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.

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