Abstract
The determination of the joint probability density of wave heights and periods in the short-term statistics of sea waves of any band-width is of great importance in modelling coastal wave processes, environmental loading on floating vessels, etc. This research is based on known probability relations as well as on simple theoretical considerations. Assuming Gaussian waves of any band-width, a set of differential equations has been formulated giving the desired probability density function of wave heights and periods. Non-symmetrical wave heights about the mean can be accommodated, while some simplifying approximations are discussed. Numerical results are presented in a companion paper appearing in this issue.
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