Extending multivariate sub-quasi-copulas
Statistics Theory
2024-11-14 v1 Probability
Statistics Theory
Abstract
In this paper, we introduce patchwork constructions for multivariate quasi-copulas. These results appear to be new since the kind of approach has been limited to either copulas or only bivariate quasi-copulas so far. It seems that the multivariate case is much more involved since we are able to prove that some of the known methods of bivariate constructions cannot be extended to higher dimensions. Our main result is to present the necessary and sufficient conditions both on the patch and the values of it for the desired multivariate quasi-copula to exist. We also give all possible solutions.
Cite
@article{arxiv.2309.15824,
title = {Extending multivariate sub-quasi-copulas},
author = {Damjana Kokol Bukovšek and Tomaž Košir and Blaž Mojškerc and Matjaž Omladič},
journal= {arXiv preprint arXiv:2309.15824},
year = {2024}
}
Comments
10 pages