W | R Documentation |
Compute the Fréchet–Hoeffding lower-bound copula (Nelsen, 2006, p. 11), which is defined as
\mathbf{W}(u,v) = \mathrm{max}(u+v-1,0)\mbox{.}
This is the copula of perfect anti-association (countermonotonicity, perfectly negative dependence) between U
and V
and is sometimes referred to as the countermonotonicity copula. Its opposite is the \mathbf{M}(u,v)
copula (comonotonicity copula; M
), and statistical independence is the \mathbf{\Pi}(u,v)
copula (P
).
W(u, v, ...)
u |
Nonexceedance probability |
v |
Nonexceedance probability |
... |
Additional arguments to pass. |
Value(s) for the copula are returned.
W.H. Asquith
Nelsen, R.B., 2006, An introduction to copulas: New York, Springer, 269 p.
M
, P
W(0.4,0.6)
W(0,0)
W(1,1)
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