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 distribution, using either Weibull or Normal distributions of the short-term Rayleigh parameters (classified by weather groups) is better than any explicit functions. (Kursetz)
Long-term distributions of stochastic processes with application to ship hull stress statistics
Langzeitverteilung von stochastischen Verfahren mit ihrer Anwendung auf die Schiffskoerper-Spannungsstatistik
US Government Research Reports ; Dec ; 1-71
1978
71 Seiten
Report
Englisch