基于Copula函数的暴雨要素三维联合分布——以宽甸县为例
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张野, 王康, 刘欣铭, 张苏辰, 周嘉, 王菜林
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The Three-dimensional Joint Distributions of Rainstorm Factors Based on Copula Function: A Case in Kuandian County, Liaoning Province
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Ye Zhang, Kang Wang, Xinming Liu, Suchen Zhang, Jia Zhou, Cailin Wang
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表4 Copula 三维联合分布函数参数及检验值 |
Table 4 The parameters and test values of three-dimensional Copula distribution function |
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分布函数 | 参数及检验 | D50、I& P50 | D50、I&R | D50、P50&R | I、P50&R | Frank | 参数 | 2.5117 | 13.9572 | 1.9848 | 5.5522 | RMSE | 0.0521 | 0.0514 | 0.1658 | 0.1585 | AIC | -290.88 | -292.448 | -161.2544 | -162.274 | Clayton | 参数 | 0.626 | 5.1859 | 0.3154 | 1.0428 | RMSE | 0.0558 | 0.0531 | 0.1467 | 0.1430 | AIC | -283.1862 | -288.7487 | -174.958 | -173.87 | Gumbel | 参数 | 1.2828 | 2.995 | 1.1973 | 1.8666 | RMSE | 0.0572 | 0.0659 | 0.1724 | 0.1646 | AIC | -280.5228 | -264.6426 | -156.9166 | -158.042 | AMH | 参数 | 0.379 | 0.9189 | 0.5705 | 0.8541 | RMSE | 0.0541 | 0.0542 | 0.1752 | 0.1766 | AIC | -286.5932 | -286.5251 | -155.0723 | -150.187 |
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