基于广义极值分布的设计波高推算

doi:10.11978/j.issn.1009-5470.2011.03.024

Journal of Tropical Oceanography ›› 2011, Vol. 30 ›› Issue (3): 24-29.doi: 10.11978/j.issn.1009-5470.2011.03.024cstr: 32234.14.j.issn.1009-5470.2011.03.024

• Marine hydrology • Previous Articles Next Articles

Calculation of design wave heights based on generalized extreme value distribution

CHEN Zi-shen1 , LIU Zeng-mei 2 , LU Jian-fei 1 , YU Ji-tao1

1. Department of Water Resource and Environment, Sun Yet-sun University, Guangzhou 510275, China; 2. Department of Water Conservancy and Hydropower Engineering, South China University of Technology, Guangzhou 510640, China

Received:2009-12-03 Revised:2010-03-08 Online:2011-07-18 Published:2011-07-20

Abstract

Abstract:

Three parameter estimation methods on generalized extreme value distribution function were briefly introduced in the paper, which included the maximum-likelihood estimation (ML), the linear moment estimation (LM) and the maximum product of spacing estimation (MPS). The design wave heights based on the generalized extreme value distribution function are calculated by using largest annual wave heights of three wave directions measured in the sea waters near Weizhou Island of Beibu Gulf. And then the results were compared by goodness fit test on design wave heights calculated by the Gumbel dis- tribution, Weibull distribution and Pearson Ⅲ. It indicated that the annual extreme wave heights obeyed the generalized ex- treme value distribution type three. The extreme wave heights were better fitted by generalized extreme value distribution function. The parameter estimation of maximum product of spacing was the best method compared with the others. The design wave heights calculated by MPS parameter estimation of the generalized extreme value distribution can be as the first refer- ence value in the coastal engineering design.

Key words: generalized extreme value distribution, parameter estimation, ?design wave height, ?goodness fit test, maximum product of spacing estimation

CHEN Zi-shen,LIU Zeng-mei ,LU Jian-fei ,YU Ji-tao . Calculation of design wave heights based on generalized extreme value distribution[J].Journal of Tropical Oceanography, 2011, 30(3): 24-29.

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Calculation of design wave heights based on generalized extreme value distribution

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