Long-Term Distributions of Stochastic Processes with Application to Ship Hull Stress Statistics.
WEBB INST OF NAVAL ARCHITECTURE GLEN COVE NY CENTER FOR MARITIME STUDIES
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The mathematical properties of the following probability distributions and their moment generating functions are derived Weibull distribution Rayleigh distribution Exponential distribution Normal distribution Voznesensky distribution and Generalized Rayleigh distribution. The relative merits of applying these distributions to problems in ship responses to the sea, which is described as a stationary stochastic process, are discussed. In Part 2, the most promising long-term distributions derived from the above survey are applied to ship bending stress data from four ships. It is concluded that a numerical solution of long-term distributions, using either Weibull or Normal distributions of the short-term Rayleigh parameters classified by weather groups is better than any explicit functions. Author
- Statistics and Probability
- Marine Engineering