| 张明.Nash模型参数估计的熵法[J].水利学报,2002,33(1):0062-0066 |
| Nash模型参数估计的熵法 |
| Entropy method for estimating the parameters of Nash model |
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| DOI： |
| 中文关键词: Nash模型 参数估计 最大信息熵原理 熵法 |
| 英文关键词: Nash model parameter estimation principle of maximum information entropy entropy method |
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| 中文摘要: |
| 本文提出了一种Nash模型参数估计方法——熵法。该法以Nash模型的数学表达形式同于Γ分布为基础，应用最大信息熵原理，构造参数估计方程；然后将对数均值展为泰勒级数，并略去高阶项，导出相应的计算公式。通过假想水文资料检验这一方法，并与矩法的估计值相比较，结果表明本文提出的方法优于矩法。 |
| 英文摘要: |
| An entropy method for estimating the parameters of Nash model is proposed.Based on the mathematical expression of the relationship between Nash model and Gamma distribution and using the maximum information entropy principle,the equation for estimating the parameters is established.The formula for calculation can be deduced from the logarithmic expected value if it is expanded into Taylor's series and the terms higher than second order are neglected. The verification using ideal hydrographic data shows that the proposed method is better than the moment method. |
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