Abstract
The paper introduces the concepts of joint mean crossing frequency and joint mean density of peak values of a stochastic process. These concepts are then used to derive formulate for the extreme values of a narrow-band Gaussian process. It is also shown that the joint crossing frequency can be used to derive the statistical distribution of crest to trough wave heights of a Gaussian process of narrow but finite bandwidth. The methods of extreme value prediction presented incorporates effects of correlation in a rational and simple manner. Specifically, statistical dependence between neighbouring peaks of a narrow-band time series is accounted for. The results given should therefore be of interest to practical design of marine structures.
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