A compendium of copulas

S Nadarajah, E Afuecheta, S Chan - Statistica, 2017 - rivista-statistica.unibo.it
Copulas are used to specify dependence between two or more random variables. The last
few years have seen a surge of developments of parametric models for copulas. Here, we …

Copula theory: an introduction

F Durante, C Sempi - Copula Theory and Its Applications: Proceedings of …, 2010 - Springer
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A hitchhiker's guide to quasi-copulas

JJ Arias-García, R Mesiar, B De Baets - Fuzzy Sets and Systems, 2020 - Elsevier
This paper presents a review of the concept of an n-quasi-copula, starting from the
characterization of functions that can be derived from operations on random variables. We …

Rectangular patchwork for bivariate copulas and tail dependence

F Durante, S Saminger-Platz… - … in Statistics—Theory and …, 2009 - Taylor & Francis
We present a method for constructing bivariate copulas by changing the values that a given
copula assumes on some subrectangles of the unit square. Some applications of this …

Generalizing the migrativity of continuous t-norms

Y Ouyang - Fuzzy Sets and Systems, 2013 - Elsevier
This paper generalizes the migrativity of triangular norms (t-norms for short). Precisely, we
find those continuous t-norms T which satisfy T (λ1x, λ2y)= λ3T (x, y), where λi∈(0, 1], i= 1, 2 …

Multivariate copulas with given values at two arbitrary points

EP Klement, D Kokol Bukovšek, M Omladič… - Statistical Papers, 2023 - Springer
Copulas are functions that link an n-dimensional distribution function with its one-
dimensional margins. In this contribution we show how n-variate copulas with given values …

On the migrativity of triangular subnorms

L Wu, Y Ouyang - Fuzzy Sets and Systems, 2013 - Elsevier
The (α, T)-migrative triangular subnorms, where T stands for the three prototype triangular
norms (namely the product, the Łukasiewicz t-norm and the minimum), are investigated in …

Constructions of copulas with given diagonal (and opposite diagonal) sections and some generalizations

J Fernández-Sánchez, M Úbeda-Flores - Dependence Modeling, 2018 - degruyter.com
We review various methods for constructing bivariate copulas with given diagonal sections
from seminal work to the most recent research on copulas with given diagonal and opposite …

The dominance relation in some families of continuous Archimedean t-norms and copulas

S Saminger-Platz - Fuzzy Sets and Systems, 2009 - Elsevier
The dominance relation in several families of continuous Archimedean t-norms and copulas
is investigated. On the one hand, the contribution provides a comprehensive overview on …

New constructions of diagonal patchwork copulas

F Durante, JA Rodríguez-Lallena, M Ubeda-Flores - Information Sciences, 2009 - Elsevier
We present a method for constructing symmetric copulas which generalizes the diagonal
patchwork construction of copulas procedure. We also show how it is related to a new …