The Generalised Clayton copula
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The Generalised Clayton copula is a copula that
allows any specific (non-zero) level of (lower) tail dependency between
individual variables. It is an Archimedean copula
and exchangeable.
 
 
  | Copula name | Generalised Clayton
  copula | 
 
  | Common notation | 
 | 
 
  | Parameters |  , 
 | 
 
  | Domain | 
 | 
 
  | Copula | 
 Or if  we use the limit  | 
 
  | Kendall’s rank
  correlation coefficient (for bivariate case),  | 
 | 
 
  | Coefficient of upper
  tail dependence,  | 
 | 
 
  | Coefficient of lower
  tail dependence,  | 
 | 
 
  | Archimedean generator
  function,  | 
 Or if  we use the limit   | 
 
  | Other comments | When  the generalised
  Clayton copula becomes the Clayton copula. | 
 
Nematrian web functions
 
Functions relating to the above distribution may be accessed
via the Nematrian
web function library by using a DistributionName of “Generalised Clayton
Copula”. For details of other supported probability distributions see here.
 
NAVIGATION LINKS
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