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Start Over Subject modular functions

1. Construction of multivariate copulas in n-boxes

Creator:
Gonzáles-Barrios, José M. and Hernández-Cedillo, María M.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
n-copulas, modular functions, and rectangular patchwork
Language:
English
Description:
In this paper we give an alternative proof of the construction of n-dimensional ordinal sums given in Mesiar and Sempi \cite{mesiar}, we also provide a new methodology to construct n-copulas extending the patchwork methodology of Durante, Saminger-Platz and Sarkoci in \cite{durante08} and \cite{durante09}. Finally, we use the gluing method of Siburg and Stoimenov \cite{siburg} and its generalization in Mesiar {et al.} \cite{mesiarjagr} to give an alternative method of patchwork construction of n-copulas, which can be also used in composition with our patchwork method.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Modular functions on multilattices

Creator:
Avallone, Anna
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
multilattices and modular functions
Language:
English
Description:
We prove that every modular function on a multilattice $L$ with values in a topological Abelian group generates a uniformity on $L$ which makes the multilattice operations uniformly continuous with respect to the exponential uniformity on the power set of $L$.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public