The Gumbel copula
[this page | pdf | back links]
The Gumbel copula is a copula that allows any
specific level of (upper) tail dependency between individual variables. It is
an Archimedean
copula, and exchangeable.
 
 
  | Copula name | Gumbel copula | 
 
  | Common notation | 
 | 
 
  | Parameters |  
 | 
 
  | Domain | 
 | 
 
  | Copula | 
 | 
 
  | Kendall’s rank
  correlation coefficient (for bivariate case) | 
 | 
 
  | Coefficient of upper
  tail dependence,  | 
 | 
 
  | Coefficient of lower
  tail dependence,  | 
 | 
 
  | Archimedean generator
  function,  | 
 | 
 
  | Other comments | If  we obtain the independence copula
  and as  we approach the comonotonicity
  copula. | 
 
Nematrian web functions
 
Functions relating to the above distribution may be accessed
via the Nematrian
web function library by using a DistributionName of “Gumbel Copula”.
For details of other supported probability distributions see here.
 
NAVIGATION LINKS
Contents | Prev | Next