“…In the context of slamming on ships, following the pioneering work of Ochi [13,14] and Ochi and Motter [15,16], different authors investigated the stochastic properties of slamming-induced loads and structural stresses, including the effect of forward speed in the analysis. In most studies, however, the vertical component of the relative fluid velocity is considered as the only kinematic variable relevant to the estimate of slamming loads (see for example [16,17,18,19,20,21]). This assumption greatly simplifies the problem by reducing the conditional distribution of kinematic variables (used as an input for the impact model), given up-crossing, to a univariate distribution, which is of Rayleigh type in the framework of linear wave theory.…”