基于Copula函数的暴雨要素三维联合分布——以宽甸县为例
张野, 王康, 刘欣铭, 张苏辰, 周嘉, 王菜林

The Three-dimensional Joint Distributions of Rainstorm Factors Based on Copula Function: A Case in Kuandian County, Liaoning Province
Ye Zhang, Kang Wang, Xinming Liu, Suchen Zhang, Jia Zhou, Cailin Wang
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
分布函数 参数及检验 D50I& P50 D50I&R D50P50&R IP50&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