collaborators

6 papers

math.ST2026

Maximal signed volume for (multivariate) supermodular quasi-copulas

Matjaž Omladič, Martin Vuk, Aljaž Zalar

Copulas are the primary tool for dependence modeling in statistics, and quasi-copulas are their essential companions. The latter appear, say, as infima or suprema of sets of copula…

math.ST2025

Marshall-Olkin copulas revisited

Tomaž Košir, Petra Lazić, Matjaž Omladič

Almost seventy years old Marshall-Olkin copulas, then wider Marshall copulas, and finally even wider shock model (SM) copulas constitute a substantial part of nowadays copula theor…

math.ST2025

A complete characterization of maximal copulas with a given track section

Matjaž Omladič, Damjan Škulj

Bivariate copulas with prescribed diagonal section were first studied by Bertino. Their maximality was studied so far only from the point of view of upper bounds which brings quasi…

stat.ML2025

Extreme mass distributions for quasi-copulas

Matjaž Omladič, Martin Vuk, Aljaž Zalar

A recent survey, nicknamed "Hitchhiker's Guide", J.J. Arias-Garcıa, R. Mesiar, and B. De Baets, A hitchhiker's guide to quasi-copulas, Fuzzy Sets and Systems 393 (2020) 1-28, has…

math.ST2025

Extreme values of the mass distribution associated with -quasi-copulas via linear programming

Matej Belšak, Matjaž Omladič, Martin Vuk +1

The recent survey published in Fuzzy Sets and Systems nicknamed ``Hitchhiker's Guide'' has raised the rating of quasi-copula problems in the dependence modeling community in spite…

math.ST2025

Freedom in constructing quasi-copulas vs. copulas

Matjaž Omladič, Nik Stopar

The main goal of this paper is to study the extent of freedom one has in constructing quasi-copulas vs. copulas. Specifically, it exhibits three construction methods for quasi-copu…