Results 171 to 180 of about 520,955 (192)
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ON THE CLASSES OF COPULAS AND QUASI-COPULAS WITH A GIVEN DIAGONAL SECTION
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2011Let [Formula: see text] and [Formula: see text] be, respectively, the classes of all copulas and quasi-copulas whose diagonal section is δ. We determine under which conditions on δ we have: (a) both [Formula: see text] and [Formula: see text] consist of a singleton; (b) [Formula: see text]. Moreover, a simple construction of copulas with a given convex
Fabrizio Durante +1 more
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Bivariate quasi-copulas and doubly stochastic signed measures
Fuzzy Sets and Systems, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Juan Fernández-Sánchez +2 more
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2017
This article is a survey of quasi–copulas. The genesis, the history and the properties of quasi–copulas are presented, with special emphasis on their characterisation and on recent results. The presentation will also highlight the key part played by Roger Nelsen in all stages of the development of the theory.
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This article is a survey of quasi–copulas. The genesis, the history and the properties of quasi–copulas are presented, with special emphasis on their characterisation and on recent results. The presentation will also highlight the key part played by Roger Nelsen in all stages of the development of the theory.
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Some New Properties of Quasi-Copulas
2002Abstract The notion of a quasi-copula was introduced by Alsina et al. (1993) to characterize operations on distribution functions that can or cannot be derived from operations on random variables. Genest et al. (1999) characterize the quasi-copula concept in simpler operational terms.
Roger B. Nelsen +3 more
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Extreme values of the mass distribution associated with a tetravariate quasi-copula
Fuzzy Sets and Systems, 2023Manuel Ubeda Flores
exaly
Quasi-copulas with quadratic sections in one variable
Kybernetika, 2008An \(n\)-dimensional quasi-copula is a function \(Q\) from \([0,1]^n\) into \( [0,1]\) such that \(Q(x_1, \dots, x_n)= 0\) if one variable \(x_i = 0\), \(Q(x_ 1,\dots,x_n) = x_i\) if all variables \(x_k =1\) whenever \(k \neq i\), \(Q\) is non-decreasing in each variable and \(Q\) satisfies the Lipschitz inequality \(|Q(\vec u ) - Q ( \vec v) | \leq ...
José Antonio Rodríguez-Lallena +1 more
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1-Lipschitz aggregation operators and quasi-copulas
Kybernetika, 2003Summary: Binary 1-Lipschitz aggregation operators and specially quasi-copulas are studied. The characterization of 1-Lipschitz aggregation operators as solutions to a functional equation similar to the Frank functional equation is recalled, and, moreover, the importance of quasi-copulas and dual quasi-copulas for describing the structure of 1-Lipschitz
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A new family of trivariate proper quasi-copulas
Kybernetika, 2007Summary: We provide a new family of trivariate proper quasi-copulas. As an application, we show that \(W^3\) -- the best-possible lower bound for the set of trivariate quasi-copulas (and copulas) -- is the limit member of this family, showing how the mass of \(W^3\) is distributed on the plane \(x+y+z=2\) of \([0,1]^3\) in an easy manner, and providing
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Final solution to the problem of relating a true copula to an imprecise copula
Fuzzy Sets and Systems, 2020Matjaz Omladic, Nik Stopar
exaly