Results 1 to 10 of about 355 (84)
Implementing Markovian models for extendible Marshall–Olkin distributions
Dependence Modeling, 2022 We derive a novel stochastic representation of exchangeable Marshall–Olkin distributions based on their death-counting processes. We show that these processes are Markov.
Sloot Henrik
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On copulas of self-similar Ito processes
Dependence Modeling, 2021 We characterize the cumulative distribution functions and copulas of two-dimensional self-similar Ito processes, with randomly correlated Wiener margins, as solutions of certain elliptic partial differential equations.
Jaworski Piotr, Krzywda Marcin
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Generating unfavourable VaR scenarios under Solvency II with patchwork copulas
Dependence Modeling, 2021 The central idea of the paper is to present a general simple patchwork construction principle for multivariate copulas that create unfavourable VaR (i.e. Value at Risk) scenarios while maintaining given marginal distributions.
Pfeifer Dietmar, Ragulina Olena
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On a general class of gamma based copulas
Dependence Modeling, 2021 A large family of copulas with gamma components is examined, and interesting submodels are defined and analyzed. Parameter estimation is demonstrated for some of these submodels. A brief discussion of higher-dimensional versions is included.
Arnold Barry C., Arvanitis Matthew
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Lorenz-generated bivariate Archimedean copulas
Dependence Modeling, 2020 A novel generating mechanism for non-strict bivariate Archimedean copulas via the Lorenz curve of a non-negative random variable is proposed. Lorenz curves have been extensively studied in economics and statistics to characterize wealth inequality and ...
Fontanari Andrea +2 more
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On partially Schur-constant models and their associated copulas
Dependence Modeling, 2021 Schur-constant vectors are used to model duration phenomena in various areas of economics and statistics. They form a particular class of exchangeable vectors and, as such, rely on a strong property of symmetry.
Lefèvre Claude
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Dispersive order comparisons on extreme order statistics from homogeneous dependent random vectors
Dependence Modeling, 2021 In this paper, we investigate sufficient conditions for preservation property of the dispersive order for the smallest and largest order statistics of homogeneous dependent random vectors.
Mesfioui Mhamed, Trufin Julien
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A topological proof of Sklar’s theorem in arbitrary dimensions
Dependence Modeling, 2022 Copulas are appealing tools in multivariate probability theory and statistics. Nevertheless, the transfer of this concept to infinite dimensions entails some nontrivial topological and functional analytic issues, making a deeper theoretical understanding
Benth Fred Espen +2 more
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Stable tail dependence functions – some basic properties
Dependence Modeling, 2022 We prove some important properties of the extremal coefficients of a stable tail dependence function (“STDF”) and characterise logistic and some related STDFs.
Ressel Paul
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Generating VaR scenarios with product beta distributions [PDF]
, 2018 We propose a Monte Carlo simulation method to generate stress tests by VaR scenarios under Solvency II for dependent risks on the basis of observed data.
Pfeifer, Dietmar, Ragulina, Olena
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