Table 5

Archimedean copulas used in this study with their generators

Family of copulas
Generator φ (t)
Parameter θ
Bivariate Copula Cφ (u, v)

Independent
-ln(t)

uv
Gumbel
(-ln(t))θ
θ ≥ 1
Math
Clayton
t-θ -1
θ > 0
(u-θ + v-θ -1)-1/θ
Frank
Math
θ ∈ ℝ
Math

El Adlouni et al. International Journal of Health Geographics 2007 6:40   doi:10.1186/1476-072X-6-40