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vines (version 1.1.5)

hinverse-methods: Methods for the Inverse of the h-functions

Description

The $h^{-1}$ function represents the inverse of the $h$ function with respect to its first argument. It should be defined for every copula used in a pair-copula construction (or it will be evaluated numerically).

Usage

hinverse(copula, u, v, eps)

Arguments

copula
A bivariate copula object.
u
Numeric vector with values in $[0,1]$.
v
Numeric vector with values in $[0,1]$.
eps
To avoid numerical problems for extreme values, the values of u, v and return values close to 0 and 1 are substituted by eps and 1 - eps, respectively. The default eps value for most of the copulas is .Machine$double.eps^0.5.

Methods

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.