Displaying similar documents to “Constructing families of symmetric dependence functions”

On a problem by Schweizer and Sklar

Fabrizio Durante (2012)

Kybernetika

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We give a representation of the class of all n -dimensional copulas such that, for a fixed m ∈ ℕ , 2 ≤ m < n , all their m -dimensional margins are equal to the independence copula. Such an investigation originated from an open problem posed by Schweizer and Sklar.

Construction of multivariate copulas in n -boxes

José M. González-Barrios, María M. Hernández-Cedillo (2013)

Kybernetika

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In this paper we give an alternative proof of the construction of n -dimensional ordinal sums given in Mesiar and Sempi [17], we also provide a new methodology to construct n -copulas extending the patchwork methodology of Durante, Saminger-Platz and Sarkoci in [6] and [7]. Finally, we use the gluing method of Siburg and Stoimenov [20] and its generalization in Mesiar et al. [15] to give an alternative method of patchwork construction of n -copulas, which can be also used in composition...

Equivalence of compositional expressions and independence relations in compositional models

Francesco M. Malvestuto (2014)

Kybernetika

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We generalize Jiroušek’s (right) composition operator in such a way that it can be applied to distribution functions with values in a “semifield“, and introduce (parenthesized) compositional expressions, which in some sense generalize Jiroušek’s “generating sequences” of compositional models. We say that two compositional expressions are equivalent if their evaluations always produce the same results whenever they are defined. Our first result is that a set system ℋ is star-like with...