Ocean waves with one-peaked and double-peaked spectra are the main wave patterns in Jiaozhou Bay, China. This paper discusses the joint distribution of the wave heights and the periods of the two wave patterns. Maximum entropy distribution, lognormal distribution, GEV distribution and Weibull distribution are adopted to construct bivariate distribution using conditional probability formula. In order to compare the four joint distribution models, squared Euclidean distance and AIC criterion are applied to measure the goodness of fit. The result shows that bivariate distribution constructed by GEV distribution have better performance in fitting wave height and period to double peak case, while that by maximum entropy distribution or Weibull distribution is better to single peak case.

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