Compute the --Hoeffding upper-bound copula (Nelsen, 2006, p. 11), which is defined as [REMOVE_ME]M(u,v)=min(u,v)\mbox.[REMOVEME2]
This is the copula of perfect association (comonotonicity, perfectly positive dependence) between U and V and is sometimes referred to as the comonotonicity copula. Its opposite is the W(u,v) copula (countermonotonicity copula; W), and statistical independence is the Π(u,v) copula (P).
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Description
Compute the --Hoeffding upper-bound copula (Nelsen, 2006, p. 11), which is defined as
M(u,v)=min(u,v)\mbox.
This is the copula of perfect association (comonotonicity, perfectly positive dependence) between U and V and is sometimes referred to as the comonotonicity copula. Its opposite is the W(u,v) copula (countermonotonicity copula; W), and statistical independence is the Π(u,v) copula (P).
M(u, v,...)
Arguments
u: Nonexceedance probability u in the X direction;
v: Nonexceedance probability v in the Y direction; and
...: Additional arguments to pass.
Returns
Value(s) for the copula are returned.
References
Nelsen, R.B., 2006, An introduction to copulas: New York, Springer, 269 p.