Results 21 to 30 of about 97 (72)
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 1, Page 45-53, 1991., 1990 In this paper we study some functionals operating on the set of the n‐copulas defined on [0, 1] n. Conditions under which such functionals are well defined are determined and some counterexamples are described. The study of the fixed points (n‐copulas) for these functionals is also considered, and, finally, some open problems are presented.
C. Alsina, A. Damas, J. J. Quesada
wiley +1 more source
Maximum asymmetry of copulas revisited
Dependence Modeling, 2018 Motivated by the nice characterization of copulas A for which d∞(A, At) is maximal as established independently by Nelsen [11] and Klement & Mesiar [7], we study maximum asymmetry with respect to the conditioning-based metric D1 going back to Trutschnig [
Kamnitui Noppadon +2 more
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On the asymptotic covariance of the multivariate empirical copula process
Dependence Modeling, 2019 Genest and Segers (2010) gave conditions under which the empirical copula process associated with a random sample from a bivariate continuous distribution has a smaller asymptotic covariance than the standard empirical process based on a random sample ...
Genest Christian +2 more
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Dependence Modeling, 2020 We first review an approach that had been developed in the past years to introduce concepts of “bivariate ageing” for exchangeable lifetimes and to analyze mutual relations among stochastic dependence, univariate ageing, and bivariate ageing.
Nappo Giovanna, Spizzichino Fabio
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A topological proof of Sklar’s theorem in arbitrary dimensions
Dependence Modeling, 2022 Copulas are appealing tools in multivariate probability theory and statistics. Nevertheless, the transfer of this concept to infinite dimensions entails some nontrivial topological and functional analytic issues, making a deeper theoretical understanding
Benth Fred Espen +2 more
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Stable tail dependence functions – some basic properties
Dependence Modeling, 2022 We prove some important properties of the extremal coefficients of a stable tail dependence function (“STDF”) and characterise logistic and some related STDFs.
Ressel Paul
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New copulas based on general partitions-of-unity (part III) — the continuous case
Dependence Modeling, 2019 In this paper we discuss a natural extension of infinite discrete partition-of-unity copulas which were recently introduced in the literature to continuous partition of copulas with possible applications in risk management and other fields.
Pfeifer Dietmar +3 more
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Maximal asymmetry of bivariate copulas and consequences to measures of dependence
Dependence Modeling, 2022 In this article, we focus on copulas underlying maximal non-exchangeable pairs (X,Y)\left(X,Y) of continuous random variables X,YX,Y either in the sense of the uniform metric d∞{d}_{\infty } or the conditioning-based metrics Dp{D}_{p}, and analyze their ...
Griessenberger Florian +1 more
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Distribution of the Joint Survival Function of an Archimedean Copula
Calcutta Statistical Association, BulletinSuppose a random vector U 1 , … , U d with values in the unit cube has a joint survival function: C * u 1 , … , u d = ℙ U 1 > u 1 , … , U d > u d , given by an Archimedean copula C u 1 , … , u d = φ − 1 φ u 1 + … + φ u d , with generator φ : 0 , 1 → 0 , ∞
Magloire Loudegui Djimdou +2 more
semanticscholar +1 more source
Copulas, stable tail dependence functions, and multivariate monotonicity
Dependence Modeling, 2019 For functions of several variables there exist many notions of monotonicity, three of them being characteristic for resp. distribution, survival and co-survival functions. In each case the “degree” of monotonicity is just the basic one of a whole scale.
Ressel Paul
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