Maximum Entropy Distribution Function and Uncertainty Evaluation Criteria

被引：0
作者：
Bai-yu Chen
Yi Kou
Daniel Zhao
Fang Wu
Li-ping Wang
Gui-lin Liu
机构：
[1] University of California Berkeley,College of Engineering
[2] University of Southern California,Dornsife College
[3] Harvard University,Department of Mathematics
[4] University of California Santa Babara,Statistics and applied probability
[5] Ocean University of China,School of Mathematical Sciences
[6] Ocean University of China,College of Engineering
来源：
China Ocean Engineering | 2021年 / 35卷
关键词：
maximum entropy; distribution model; uncertainty; information entropy; evaluation criterion;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：238 / 249
页数：11
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