基于Copula函数的暴雨要素三维联合分布—

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3 暴雨要素边缘分布函数及参数

Table 3 Rainstorm factors marginal distribution function and parameters

暴雨要素	边缘分布	参数值
D₅₀	$\begin{matrix} F_{D} (d \|k) = \overset{}{\int_{}} \frac{k^{d}}{d!} l n^{- k} dd \end{matrix}$	k=4.1579
I	$\begin{matrix} F_{D} (i \|k, s, m) = \overset{}{\int_{}} 1 - \exp \{- {[1 - k (\frac{i - m}{s})]}^{\frac{1}{k}}\} di \end{matrix}$	k=0.0012
		s=1.5709
		m=2.6711
P₅₀	$\begin{matrix} F_{D} (p \|k, s, m) = \overset{}{\int_{}} 1 - \exp \{- {[1 - k (\frac{p - m}{s})]}^{\frac{1}{k}}\} dp \end{matrix}$	k=0.0704
		s=16.964
		m=74.13
R	$\begin{matrix} F_{D} (r \|k, s, m) = \overset{}{\int_{}} 1 - \exp \{- {[1 - k (\frac{r - m}{s})]}^{\frac{1}{k}}\} dr \end{matrix}$	k=-0.296
		s=0.1224
		m=0.3784