activity
20172022
most citedTotal positivity of copulas from a Markov kernel perspective

1 citations · 1 across the 2 of their papers we have counts for

collaborators

8 papers

math.ST20221 cited

Total positivity of copulas from a Markov kernel perspective

Sebastian Fuchs, Marco Tschimpke

The underlying dependence structure between two random variables can be described in manifold ways. This includes the examination of certain dependence properties such as lower tai…

stat.ME2020

A copula transformation in multivariate mixed discrete-continuous models

Jae Youn Ahn, Sebastian Fuchs, Rosy Oh

Copulas allow a flexible and simultaneous modeling of complicated dependence structures together with various marginal distributions. Especially if the density function can be repr…

stat.ME2020

Dissimilarity functions for rank-invariant hierarchical clustering of continuous variables

Sebastian Fuchs, F. Marta L. Di Lascio, Fabrizio Durante

A theoretical framework is presented for a (copula-based) notion of dissimilarity between continuous random vectors and its main properties are studied. The proposed dissimilarity…

math.ST2020

On weak conditional convergence of bivariate Archimedean and Extreme Value copulas, and consequences to nonparametric estimation

Thimo M. Kasper, Sebastian Fuchs, Wolfgang Trutschnig

Looking at bivariate copulas from the perspective of conditional distributions and considering weak convergence of almost all conditional distributions yields the notion of weak co…

math.ST2020

How simplifying and flexible is the simplifying assumption in pair-copula constructions -- analytic answers in dimension three and a glimpse beyond

Thomas Mroz, Sebastian Fuchs, Wolfgang Trutschnig

Motivated by the increasing popularity and the seemingly broad applicability of pair-copula constructions underlined by numerous publications in the last decade, in this contributi…

math.ST2018

On Minimal Copulas under the Concordance Order

Jae Youn Ahn, Sebastian Fuchs

In the present paper, we study extreme negative dependence focussing on the concordance order for copulas. With the absence of a least element for dimensions 3, the set of a…