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1 4种三维Copula分布函数及参数范围
Table 1 Four kinds of three-dimensional Copula distribution function and parameter range
分布函数 参数范围
Frank -1θln{1+exp-θu1-1exp-θu2-1exp-θu3-1exp-θ-12} (–∞,∞)\{0}
Clayton maxu1?θ+u2?θ+u3?θ-2-1θ [-1,∞]\{0}
Gumbel exp-lnu1θ+-lnu2θ+-lnu3θ(1/θ) [1,∞]
AMH uvw1-θ(1-u)(1-v)(1-w) [-1,1]