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vines (version 1.0.5)

h-methods: Methods for the h-functions

Description

The $h$ function represents the conditional distribution of x given v in terms of the copula when x and v are Uniform. It should be defined for every copula used in pair-copula constructions. It is defined as the partial derivative of the distribution function of the copula with respect to the second argument $h(x,v) = F(x|v) = \frac{\partial C(x,v)}{\partial v}$.

Usage

h(copula, x, v)

Arguments

copula
A bivariate copula object.
x
Numeric vector with values in $[0,1]$.
v
Numeric vector with values in $[0,1]$.

References

Aas, K. and Czado, C. and Frigessi, A. and Bakken, H. (2009) Pair-copula constructions of multiple dependence. Insurance: Mathematics and Economics 44, 182--198.

Schirmacher, D. and Schirmacher, E. (2008) Multivariate dependence modeling using pair-copulas. Enterprise Risk Management Symposium, Chicago.