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Matrix-Tilted Archimedean Copulas [PDF]
Risks, 2021 The new class of matrix-tilted Archimedean copulas is introduced. It combines properties of Archimedean and elliptical copulas by introducing a tilting matrix in the stochastic representation of Archimedean copulas, similar to the Cholesky factor for ...
Marius Hofert, Johanna F. Ziegel
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On Generators in Archimedean Copulas [PDF]
Sahand Communications in Mathematical Analysis, 2018 This study after reviewing construction methods of generators in Archimedean copulas (AC), proposes several useful lemmas related with generators of AC. Then a new trigonometric Archimedean family will be shown which is based on cotangent function. The
Vadoud Najjari
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ON GENERATING MULTIVARIATE SAMPLES WITH ARCHIMEDEAN COPULAS [PDF]
Acta Universitatis Lodziensis. Folia Oeconomica, 2014 Archimedean copulas are one of the most known classes of copulas. They allow modeling the dependencies between variables with small number of parameters.
Jacek Stelmach
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Nested Archimedean Copulas Meet R: The nacopula Package [PDF]
Journal of Statistical Software, 2011 The package nacopula provides procedures for constructing nested Archimedean copulas in any dimensions and with any kind of nesting structure, generating vectors of random variates from the constructed objects, computing function values and probabilities
Marius Hofert, Martin Maechler
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Using Copulas to Model Dependence Between Crude Oil Prices of West Texas Intermediate and Brent-Europe [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this study the main endeavor is to model dependence structure between crude oil prices of West Texas Intermediate (WTI) and Brent - Europe. The main activity is on concentrating copula technique which is powerful technique in modeling dependence ...
Vadoud Najjari
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On convergence of associative copulas and related results
Dependence Modeling, 2021 Triggered by a recent article establishing the surprising result that within the class of bivariate Archimedean copulas 𝒞ar different notions of convergence - standard uniform convergence, convergence with respect to the metric D1, and so-called weak ...
Kasper Thimo M. +2 more
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A Mixture of Clayton, Gumbel, and Frank Copulas: A Complete Dependence Model
Journal of Probability and Statistics, 2022 Knowledge of the dependence between random variables is necessary in the area of risk assessment and evaluation. Some of the existing Archimedean copulas, namely the Clayton and the Gumbel copulas, allow for higher correlations on the extreme left and ...
M. A. Boateng +3 more
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Extensions of Two Bivariate Strict Archimedean Copulas
Computational Journal of Mathematical and Statistical Sciences, 2023 The copula approach provides an option for capturing the structure of dependence between two quantitative variables. This approach is based on special bivariate functions called copulas.
Christophe Chesneau
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Results in Control and Optimization, 2023 In this paper, we study the convexity of the linear joint chance constraints. We assume that the constraint row vectors are elliptically distributed. Further, the dependence of the rows is modeled by a family of Archimedean copulas, namely, the Gumbel ...
Hoang Nam Nguyen, Abdel Lisser, Jia Liu
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General Multivariate Dependence using Associated Copulas
Revstat Statistical Journal, 2016 This paper studies the general multivariate dependence and tail dependence of a random vector. We analyse the dependence of variables going up or down, covering the 2 d orthants of dimension d and accounting for non-positive dependence.
Yuri Salazar Flores
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