Maximum Entropy Distribution Function and Uncertainty Evaluation Cri-teria

CHEN Bai-yu; KOU Yi; ZHAO Daniel; WU Fang; WANG Li-ping; LIU Gui-lin

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Maximum Entropy Distribution Function and Uncertainty Evaluation Cri-teria

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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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《中国海洋工程（英文版）》 |2021年第2期|238-249|共12页
作者
CHEN Bai-yu; KOU Yi; ZHAO Daniel; WU Fang; WANG Li-ping; LIU Gui-lin;
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College of Engineering University of California Berkeley Berkeley 94720 USA;

Dornsife College University of Southern California Los Angeles 90007 USA;

Department of Mathematics Harvard University Cambridge 02138 USA;

Statistics and applied probability University of California Santa Babara Santa Babara 93106 USA;

School of Mathematical Sciences Ocean University of China Qingdao 266100 China;

College of Engineering Ocean University of China Qingdao 266100 China;

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Maximum Entropy Distribution Function and Uncertainty Evaluation Cri-teria

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