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SimCop (version 0.7.3)

NewMVClaytonCopula: Creates a Clayton copula

Description

Creates an instance of the Clayton copula with parameter \(\theta\).

Usage

NewMVClaytonCopula(theta = 1)

Value

A function that evaluates the Clayton copula (with parameter \(\alpha\)) at a given \(d\)-dimensional vector in the unit cube. The environment of the function also contains a function called pdfCopula that evaluates the probability density function of the Clayton copula via automatic differentation.

Arguments

theta

real, the parameter of the Clayton copula, defaults to 1; must be positive.

Author

Berwin A. Turlach berwin.turlach@gmail.com

Details

The following parameterisation of the copula is used: $$C(u_1,\dots,u_d) = \left(\left\{ \sum_{j=1}^d u_j^{-\theta} \right\} - (d-1) \right)^{-1/\theta}$$