Results 11 to 20 of about 87,023 (313)
Electronic Journal of Statistics, 2013 We propose notions of calibration for probabilistic forecasts of general multivariate quantities. Probabilistic copula calibration is a natural analogue of probabilistic calibration in the univariate setting.
Gneiting, Tilmann, Ziegel, Johanna F.
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The t Copula and Related Copulas [PDF]
International Statistical Review, 2007 Summary The t copula and its properties are described with a focus on issues related to the dependence of extreme values. The Gaussian mixture representation of a multivariate t distribution is used as a starting point to construct two new copulas, the skewed t copula and the grouped t copula, which allow more heterogeneity in the modelling of ...
Demarta, Stefano, Mcneil, Alexander J.
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Is a Normal Copula the Right Copula? [PDF]
Journal of Business & Economic Statistics, 2018 We derive computationally simple and intuitive expressions for score tests of Gaussian copulas against Generalized Hyperbolic alternatives, including symmetric and asymmetric Student t, and many other examples. We decompose our tests into third and fourth moment components, and obtain one-sided Likelihood Ratio analogues, whose standard asymptotic ...
Amengual, Dante, Sentana, Enrique
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Journal of Multivariate Analysis, 2013 23 pages, 3 ...
Marius Hofert, Frederic Vrins
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Communications in Statistics - Theory and Methods, 2008 We present a new way of constructing n-copulas, by scaling and gluing finitely many n-copulas. Gluing for bivariate copulas produces a copula that coincides with the independence copula on some grid of horizontal and vertical sections. Examples illustrate how gluing can be applied to build complicated copulas from simple ones.
Siburg, Karl Friedrich +1 more
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Convergence of Archimedean copulas [PDF]
Statistics & Probability Letters, 2007 Convergence of a sequence of bivariate Archimedean copulas to another Archimedean copula or to the comonotone copula is shown to be equivalent with convergence of the corresponding sequence of Kendall distribution functions.No extra differentiability conditions on the generators are needed.
Arthur Charpentier, Johan Segers
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Enjoy the Joy of Copulas: With a Packagecopula [PDF]
Journal of Statistical Software, 2007 Copulas have become a popular tool in multivariate modeling successfully applied in many fields. A good open-source implementation of copulas is much needed for more practitioners to enjoy the joy of copulas. This article presents the design, features, and some implementation details of the R package copula.
Jun Yan
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Multivariate copulas, quasi-copulas and lattices [PDF]
Statistics & Probability Letters, 2011 We investigate some properties of the partially ordered sets of multivariate copulas and quasi-copulas. Whereas the set of bivariate quasi-copulas is a complete lattice, which is order-isomorphic to the Dedekind-MacNeille completion of the set of bivariate copulas, we show that this is not the case in higher dimensions.
Roger B. Nelsen +2 more
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Trivariate copula to design coastal structures [PDF]
Natural Hazards and Earth System Sciences, 2021 Some coastal structures must be redesigned in the future due to rising sea levels caused by climate change. The design of structures subjected to the actions of waves requires an accurate estimate of the long return period of such parameters as wave ...
O. Orcel, P. Sergent, F. Ropert
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The Structure of the Class of Maximum Tsallis–Havrda–Chavát Entropy Copulas
Entropy, 2016 A maximum entropy copula is the copula associated with the joint distribution, with prescribed marginal distributions on [ 0 , 1 ] , which maximizes the Tsallis–Havrda–Chavát entropy with q = 2 .
Jesús E. García +2 more
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