Results 11 to 20 of about 25,862 (264)
We present a new way of constructing bivariate copulas, by recalling and gluing two (or more) copulas. Examples illustrate how this construction can be applied to build complicated copulas from simple ones. --
Siburg, Karl Friedrich +1 more
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23 pages, 3 ...
Marius Hofert, Frederic Vrins
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Multivariate copulas, quasi-copulas and lattices [PDF]
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.
Fernández-Sánchez, Juan +2 more
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We introduce the notion of realized copula. Based on assumptions of the marginal distributions of daily stock returns and a copula family, realized copula is defined as the copula structure materialized in realized covariance estimated from within-day high-frequency data.
Matthias R. Fengler, Ostap Okhrin
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Is a Normal Copula the Right Copula? [PDF]
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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The t Copula and Related Copulas
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 ...
Demarta, Stefano, Mcneil, Alexander J.
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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. It can be assessed empirically by checking for the uniformity of the copula probability integral transform (CopPIT), which is invariant under ...
Johanna F. Ziegel, Tilmann Gneiting
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A Note on Upper Tail Behavior of Liouville Copulas
The family of Liouville copulas is defined as the survival copulas of multivariate Liouville distributions, and it covers the Archimedean copulas constructed by Williamson’s d-transform.
Lei Hua
doaj +1 more source
Baire category results for quasi–copulas
The aim of this manuscript is to determine the relative size of several functions (copulas, quasi– copulas) that are commonly used in stochastic modeling.
Durante Fabrizio +2 more
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Being the limits of copulas of componentwise maxima in independent random samples, extreme-value copulas can be considered to provide appropriate models for the dependence structure between rare events.
Gudendorf, Gordon, Segers, Johan
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