张 翔,冉啟香,夏 军,宋星原.基于Copula函数的水量水质联合分布函数[J].水利学报,2011,42(4): |
基于Copula函数的水量水质联合分布函数 |
Jointed distribution function of water quality and water quantity based on Copula |
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DOI: |
中文关键词: Copula函数 水环境 水量水质联合分布 多变量 |
英文关键词: Copula function water environment jointed distribution of water quality and water quantity multivariate |
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中文摘要: |
由于河流的水量水质是相互联系、相互影响的,如果只进行单一变量的分析,难以全面反映事件的真实特征。本文以淮河蚌埠闸为例,利用Copula函数构造了水量水质的二维和三维 (分为对称型和非对称型) 联合分布函数,对蚌埠闸的水量水质联合分布频率进行了分析。结果表明,蚌埠闸的Copula函数水量水质联合分布的经验累积频率和理论累积频率的一致性很高,拟合精度很好。说明应用Copula联结函数来构建水量水质联合分布是可行的,可为水量水质综合管理的风险分析提供有效的途径。 |
英文摘要: |
The Copula is applied to perform multivariate frequency analysis of water quality and water quan?tity. The defin-ition,its main classifications,methods of parameter estim-ation and goodness-of-fit tests of Copula function are introduced. The application of Copula as the bivariate and trivariate(which divide into symmetric and asymmetric)join-ted distribution functions for water quality and water quan-tity on a hydrological gage station was illustrated. The result shows that it is feasible to apply Copula function to describe the jointed distribution function of water quality and water quantity. |
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