The Gumbel copula
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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, 
|

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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
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