BiCopPar2Beta: Blomqvist's beta value of a bivariate copula
Description
This function computes the theoretical Blomqvist's beta value of a bivariate copula for given parameter values.
Usage
BiCopPar2Beta(family,par,par2=0)
Arguments
family
An integer defining the bivariate copula family:
0 = independence copula
1 = Gaussian copula
3 = Clayton copula
4 = Gumbel copula
5 = Frank copula
6 = Joe copula
7
par
Copula parameter.
par2
Second parameter for the two parameter BB1, BB6, BB7, BB8, Tawn type 1 and type 2 copulas (default: par2 = 0).
Value
Theoretical value of Blomqvist's beta corresponding to the bivariate copula family and parameter(s)
Details
Blomqvist's beta is defined as
$$\beta(X_1,X_2)=4C(0.5,0.5)-1$$
References
Blomqvist, N. (1950).
On a measure of dependence between two random variables.
The Annals of Mathematical Statistics, 21(4), 593-600.
Nelsen, R. (2006).
An introduction to copulas.
Springer