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Characterizations of bivariate conic, extreme value, and Archimax copulas [PDF]

open access: yesDependence Modeling, 2017
Based on a general construction method by means of bivariate ultramodular copulas we construct, for particular settings, special bivariate conic, extreme value, and Archimax copulas. We also show that the sets of copulas obtained in this way are dense in
Saminger-Platz Susanne   +3 more
doaj   +3 more sources

Gluing copulas [PDF]

open access: yesCommunications in Statistics - Theory and Methods, 2008
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
core   +6 more sources

Quasi-Copulas, Copulas and Fuzzy Implicators

open access: yesInternational Journal of Computational Intelligence Systems, 2020
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
doaj   +2 more sources

ON GENERATING MULTIVARIATE SAMPLES WITH ARCHIMEDEAN COPULAS [PDF]

open access: yesActa Universitatis Lodziensis. Folia Oeconomica, 2014
Archimedean copulas are one of the most known classes of copulas. They allow modeling the dependencies between variables with small number of parameters.
Jacek Stelmach
doaj   +3 more sources

Characterization of pre-idempotent Copulas

open access: yesDependence Modeling, 2023
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
doaj   +1 more source

Novel Construction of Copulas Based on (α,β) Transformation for Fuzzy Random Variables

open access: yesJournal of Mathematics, 2021
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
doaj   +1 more source

Matrix-Tilted Archimedean Copulas

open access: yesRisks, 2021
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
doaj   +1 more source

Sibuya copulas [PDF]

open access: yesJournal of Multivariate Analysis, 2013
23 pages, 3 ...
Marius Hofert, Frederic Vrins
openaire   +2 more sources

Multivariate copulas, quasi-copulas and lattices [PDF]

open access: yesStatistics & 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.
Fernández-Sánchez, Juan   +2 more
openaire   +3 more sources

Realized Copula [PDF]

open access: yesSSRN Electronic Journal, 2012
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
openaire   +4 more sources

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