Results 1 to 10 of about 11,925 (292)
Quasi-Copulas, Copulas and Fuzzy Implicators
In this paper, we study relations between fuzzy implicators and some kinds of fuzzy conjunctors, in particular, quasi-copulas and copulas. We show that there is a one-to-one correspondence between the classes of all quasi-copulas and 1-Lipschitz fuzzy ...
Radko Mesiar, Anna Kolesárová
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Matrix-Tilted Archimedean Copulas [PDF]
The new class of matrix-tilted Archimedean copulas is introduced. It combines properties of Archimedean and elliptical copulas by introducing a tilting matrix in the stochastic representation of Archimedean copulas, similar to the Cholesky factor for ...
Marius Hofert, Johanna F. Ziegel
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Copulas are used to specify dependence between two or more random variables. The last few years have seen a surge of developments of parametric models for copulas.
Saralees Nadarajah +2 more
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Characterization of pre-idempotent Copulas
Copulas CC for which (CtC)2=CtC{({C}^{t}C)}^{2}={C}^{t}C are called pre-idempotent copulas, of which well-studied examples are idempotent copulas and complete dependence copulas.
Chamnan Wongtawan, Sumetkijakan Songkiat
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Novel Construction of Copulas Based on (α,β) Transformation for Fuzzy Random Variables
The paper introduces a method for the construction of bivariate copulas with the usage of specific values of the parameters α and β (α,β transformation) and the parameters κ and λ in their domain.
Stylianos Giakoumakis +1 more
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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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23 pages, 3 ...
Marius Hofert, Frédéric Vrins
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New Families of Bivariate Copulas via Unit Lomax Distortion
This article studies a new family of bivariate copulas constructed using the unit-Lomax distortion derived from a transformation of the non-negative Lomax random variable into a variable whose support is the unit interval.
Fadal Abdullah-A Aldhufairi +2 more
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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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On the Size of Subclasses of Quasi-Copulas and Their Dedekind–MacNeille Completion
We study some topological properties of the class of supermodular n-quasi-copulas and check that the topological size of the Dedekind–MacNeille completion of the set of n-copulas is small, in terms of the Baire category, in the Dedekind–MacNeille ...
Fabrizio Durante +3 more
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