Titlebook: Copulae in Mathematical and Quantitative Finance; Proceedings of the W Piotr Jaworski,Fabrizio Durante,Wolfgang Karl H?rd Conference procee

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Lecture Notes in Statisticshttp://image.papertrans.cn/c/image/238183.jpg

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Strategic Planning of Spectrum and Services, when the first variable is attaining extreme values. We describe the copulas which are invariant with respect to the conditioning and study their sets of attraction. Furthermore we provide examples of the limit sets consisting of more than one element and discuss the chaotic nature of univariate conditioning.

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Copulas in Machine Learning,suggests the great fruitfulness of a synergy. The purpose of this paper is to survey recent copula-based constructions in the field of machine learning, so as to provide a stepping stone for those interested in further exploring this emerging symbiotic research.

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An Overview of the Goodness-of-Fit Test Problem for Copulas,ng asymptotic distribution-free test statistics and the calculation of reliable .-values are discussed. Some particular cases, like convenient tests for time-dependent copulas, for Archimedean or extreme-value copulas, etc., are dealt with. Finally, the practical performances of the proposed approaches are briefly summarized.

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Singular Mixture Copulas,las we construct have a Lebesgue density and in special cases even a closed form representation. Moreover, they have positive lower and upper tail dependence. Because Singular Mixture Copulas are mixtures of “simple” singular copulas, they can be simulated easily.