Copulas and Preserver Problems
Statistics Theory
2019-08-28 v1 Probability
Statistics Theory
Abstract
Preserver problems concern the characterization of operators on general spaces that leave invariant some categories of subsets or ratios. The most known in the mathematical literature are those of linear preserver problems (LPP) which date back to the ninth century. Here, we treat the preserver problem in the recent and emerging field of copulas. Precisely, we prove that \emph{copula property} is preserved uniquely under increasing transformations.
Cite
@article{arxiv.1908.10181,
title = {Copulas and Preserver Problems},
author = {Ahmed Sani and loubna Karbil},
journal= {arXiv preprint arXiv:1908.10181},
year = {2019}
}
Comments
Part of a project on probability in educationnal system