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Dependence and Order in Families of Archimedean Copulas
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Several successful approaches to structure determination of hierarchical Archimedean copulas (HACs) proposed in the literature rely on agglomerative clustering and Kendall’s correlation coefficient.
Górecki J., Hofert M., Holeňa M.
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Bayesian Nonparametric Mixtures of Archimedean Copulas
Copula-based dependence modeling often relies on parametric formulations. This is mathematically convenient, but can be statistically inefficient when the parametric families are not suitable for the data and model in focus. A Bayesian nonparametric mixture of Archimedean copulas is introduced to increase the flexibility of copula-based dependence ...
Pan, Ruyi +2 more
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In the area of financial risk assessment and actuarial calculation it is important to know the probability for two or more risks to occur at the same time.
Oelker, Aenne
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Sampling nested Archimedean copulas with applications to CDO pricing
Copulas are distribution functions with standard uniform univariate margins. One particular parametric class of copulas is the class Archimedean copulas.
Hofert, Marius
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Modeling defaults with nested Archimedean copulas
In 2001, Schönbucher and Schubert extended Li's well-known Gaussian copula model for modeling dependent defaults to allow for tail dependence. Instead of the Gaussian copula, Schönbucher and Schubert suggested to use Archimedean copulas.
Marius Hofert, Hofert, Marius
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Reliability analysis of parallel systems with dependent components and Archimedean copulas
In this paper, preservation properties of reversed hazard rate order and a relative overall reversed hazard rate order under the structure of a parallel system with dependent components having lifetimes coupled by an Archimedean copula are established ...
Mashael A. Alshehri
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Copula-Based Risk Aggregation and the Significance of Reinsurance
Insurance companies need to calculate solvency capital requirements in order to ensure that they can meet their future obligations to policyholders and beneficiaries.
Alexandra Dias +2 more
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Performance Analysis of RIS-Assisted Communication With Direct Link: A New Copula Application
Reconfigurable intelligent surface (RIS) has received remarkable attention as a promising solution to enhance the capacity and coverage of wireless cellular networks. In this paper, we evaluate the performance of RIS-assisted communication systems in the
Damoon Shahbaztabar +3 more
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Inference for overparametrized hierarchical Archimedean copulas
Hierarchical Archimedean copulas (HACs) are multivariate uniform distributions constructed by nesting Archimedean copulas into one another, and provide a flexible approach to modeling non-exchangeable data. However, this flexibility in the model structure may lead to over-fitting when the model estimation procedure is not performed properly.
Samuel Perreault +3 more
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