Results 1 to 10 of about 71 (62)
New copulas based on general partitions-of-unity and their applications to risk management (part II)
Dependence Modeling, 2017 We present a constructive and self-contained approach to data driven infinite partition-of-unity copulas that were recently introduced in the literature.
Pfeifer Dietmar +2 more
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Checkerboard copula defined by sums of random variables
Dependence Modeling, 2020 We consider the problem of finding checkerboard copulas for modeling multivariate distributions. A checkerboard copula is a distribution with a corresponding density defined almost everywhere by a step function on an m-uniform subdivision of the unit ...
Kuzmenko Viktor +2 more
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Dependence Modeling, 2021 The paper investigates the Hoeffding–Sobol decomposition of homogeneous co-survival functions. For this class, the Choquet representation is transferred to the terms of the functional decomposition, and in addition to their individual variances, or to ...
Mercadier Cécile, Ressel Paul
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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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New results on perturbation-based copulas
Dependence Modeling, 2021 A prominent example of a perturbation of the bivariate product copula (which characterizes stochastic independence) is the parametric family of Eyraud-Farlie-Gumbel-Morgenstern copulas which allows small dependencies to be modeled.
Saminger-Platz Susanne +4 more
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Dependence Modeling, 2021 As a motivating problem, we aim to study some special aspects of the marginal distributions of the order statistics for exchangeable and (more generally) for minimally stable non-negative random variables T1, ..., Tr. In any case, we assume that T1, ...,
Foschi Rachele +2 more
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A sharp inequality for Kendall’s τ and Spearman’s ρ of Extreme-Value Copulas
Dependence Modeling, 2018 We derive a new (lower) inequality between Kendall’s τ and Spearman’s ρ for two-dimensional Extreme-Value Copulas, show that this inequality is sharp in each point and conclude that the comonotonic and the product copula are the only Extreme-Value ...
Trutschnig Wolfgang, Mroz Thomas
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The deFinetti representation of generalised Marshall–Olkin sequences
Dependence Modeling, 2020 We show that each infinite exchangeable sequence τ1, τ2, . . . of random variables of the generalised Marshall–Olkin kind can be uniquely linked to an additive subordinator via its deFinetti representation. This is useful for simulation, model estimation,
Sloot Henrik
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Transformation of a copula using the associated co-copula
Dependence Modeling, 2018 We investigate the properties of a new transformation of copulas based on the co-copula and an univariate function. It is shown that several families in the copula literature can be interpreted as particular outputs of this transformation.
Girard Stéphane
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On quantile based co-risk measures and their estimation
Dependence Modeling, 2020 Conditional Value-at-Risk (CoVaR) is defined as the Value-at-Risk of a certain risk given that the related risk equals a given threshold (CoVaR=) or is smaller/larger than a given threshold ...
Fuchs Sebastian, Trutschnig Wolfgang
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