函数名称	表达式
t Copula	$C_{t} (u_{1}, u_{2} \| θ) = \int_{- \infty}^{t_{k}^{- 1} (u_{1})} \int_{- \infty}^{t_{k}^{- 1} (u_{2})} \frac{1}{2 π \sqrt{1 - θ^{2}}} {[1 + \frac{s^{2} - 2 θ s t + t^{2}}{k (1 - θ^{2})}]}^{- (k + 2) / 2} d s d t$
Gumbel	$C_{G} (u_{1}, u_{2} \| θ) = \exp {- {[{(- \ln u_{1})}^{θ} + {(- \ln u_{2})}^{θ}]}^{1 / θ}}$
Clayton	$C_{G} (u_{1}, u_{2} \| θ) = \max [{(u_{1}^{- θ} + u_{2}^{- θ})}^{- \frac{1}{θ}}, 0]$
Frank	$C_{F} (u_{1}, u_{2} \| θ) = - \frac{1}{θ} \ln [1 + \frac{(e^{- θ u_{1}} - 1) (e^{- θ u_{2}} - 1)}{e^{- θ} - 1}]$
J90	$C_{90} (u_{1}, u_{2} \| θ) = u_{2} - C_{J} (1 - u_{1}, u_{2} \| θ)$ ，其中 $C_{J} (u_{1}, u_{2} \| θ) = u_{2} - {{(1 - u_{1})}^{θ} + {(1 - u_{2})}^{θ} - [(1 - u_{1}) (1 - u_{2})]}^{1 / θ}$
BB7	$C_{B B 7} (u_{1}, u_{2} \| θ, δ) = 1 - {{[1 - {(1 - u_{1})}^{θ}]}^{- δ} + {[1 - {(1 - u_{2})}^{θ}]}^{- δ} - 1}^{1 / θ}$