Maximum Entropy Distribution Function and Uncertainty Evaluation Criteria

Abstract

Marine environmental design parameter extrapolation has important applications in marine engineering and coastal disaster prevention. The distribution models used for environmental design parameter usually pass the hypothesis tests in statistical analysis, but the calculation results of different distribution models often vary largely. In this paper, based on the information entropy, the overall uncertainty test criteria were studied for commonly used distributions including Gumbel, Weibull, and Pearson-III distribution. An improved method for parameter estimation of the maximum entropy distribution model is proposed on the basis of moment estimation. The study in this paper shows that the number of sample data and the degree of dispersion are proportional to the information entropy, and the overall uncertainty of the maximum entropy distribution model is minimal compared with other models.