# Extreme mass distributions for quasi-copulas

arXiv: https://arxiv.org/abs/2506.20672 · HTML: https://mlsanity.com/paper/2506.20672/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 1 of its 27 references that are in the map.
- First posted on arXiv 20 May 2025.

## Builds on (most cited first, 1 of 1)

- [Parallelizing the dual revised simplex method](https://mlsanity.com/paper/1503.01889/) (2015)

## Abstract (arXiv)

A recent survey, nicknamed "Hitchhiker's Guide", J.J. Arias-Garcia, R. Mesiar, and B. De Baets, A hitchhiker's guide to quasi-copulas, Fuzzy Sets and Systems 393 (2020) 1-28, has raised the rating of quasi-copula problems in the dependence modeling community in spite of the lack of statistical interpretation of quasi-copulas. In our previous work (Fuzzy Sets and Systems 517 (2025) 109457), we addressed the question of extreme values of the mass distribution associated with multivariate quasi-copulas. Using a linear programming approach, we were able to solve Open Problem 5 of the "Guide" up to dimension d = 17 and disprove a recent conjecture on the solution to that problem. In this paper, we use an analytical approach to provide a complete answer to the original question.