Article ID Journal Published Year Pages File Type
1147024 Journal of Multivariate Analysis 2010 6 Pages PDF
Abstract

A probabilistic interpretation for hierarchical Archimedean copulas based on Lévy subordinators is given. Independent exponential random variables are divided by group-specific Lévy subordinators which are evaluated at a common random time. The resulting random vector has a hierarchical Archimedean survival copula. This approach suggests an efficient sampling algorithm and allows one to easily construct several new parametric families of hierarchical Archimedean copulas.

Related Topics
Physical Sciences and Engineering Mathematics Numerical Analysis
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