Maruyama, YuukiYuukiMaruyamaMaki, AtsuoAtsuoMakiDostal, LeoLeoDostal2024-01-252024-01-252024Journal of Marine Science and Technology 29 (1): 153-166 (2024)https://hdl.handle.net/11420/45286Container ships encounter large roll angles and high acceleration, and container loss remains a problem. This study proposes a method for calculating the probability density function (PDF) of roll angular and cargo lateral accelerations. First, the moment values of these accelerations are derived using the linearity of expectation, and the validity of this method is examined. Second, the PDF shapes of these accelerations are proposed and their coefficients are determined using the obtained moment values. Our proposed method can be used to derive the PDFs of roll angular and cargo lateral accelerations.en0948-428020241153166SpringerCumulant neglectIrregular head seasMoment equationParametric rollingRoll angular accelerationEngineering and Applied OperationsJournal Article10.1007/s00773-023-00975-0Journal Article