In this paper some statistical properties of random waves in a sea storm are investigated. The classical Borgman’s approach is applied to obtain the analytical expressions of both the probability PK(H) that in a sea storm only K waves higher than a fixed threshold H occur, and the probability PK(H) that in a sea storm at least K waves higher than a fixed threshold H occur, with K = 1, 2, 3,… Moreover, it is shown that, if the number K is negligible in comparison with the number of waves occurring in the storm, the results may be expressed in an integral form. This integral form is very useful to particularize both PK(H) and PK(H) for a storm with a triangular time history. Finally, the results are validated with Montecarlo simulations of random waves in a sea storm of given time history.

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