NewBEVAsyLogisticCopula {SimCop} | R Documentation |
Creates a bivariate asymmetric logistic model extreme value copula
Description
Creates an instance of the bivariate asymmetric logistic model extreme value copula with parameters r
, \theta
and \phi
.
Usage
NewBEVAsyLogisticCopula(r, theta, phi)
Arguments
r |
real. |
theta |
real. |
phi |
real. |
Details
The dependence function for this bivariate EV copula is
A(w) = (\theta (1-w)^r + (\phi w)^r)^{1/r} + (\theta - \phi) w + 1 - \theta
Necessary and sufficient conditions for the dependence function to be valid are
-
r \ge 1
-
0 \le \theta \le 0
-
0 \le \phi \le 1
For \theta = \phi = 1
this model reduces to the symmetric logistic model.
Value
A function that evaluates the bivariate asymmetric logistic model EV copula (with parameters r
, \theta
and phi
) at a given 2
-dimensional vector in the unit square. The environment of the function also contains a function called pdfCopula
that evaluates the probability density function of the bivariate asymmetric mixed model EV copula via automatic differentation.
Author(s)
Berwin A. Turlach <berwin.turlach@gmail.com>
See Also
NewBEVLogisticCopula
, NewMEVAsyLogisticCopula