Monotone Cumulant-Moment Formula and Schr\"oder Trees
Probability
2022-10-10 v2 Combinatorics
Operator Algebras
Abstract
We prove a formula to express multivariate monotone cumulants of random variables in terms of their moments by using a Hopf algebra of decorated Schr\"oder trees.
Keywords
Cite
@article{arxiv.2111.02179,
title = {Monotone Cumulant-Moment Formula and Schr\"oder Trees},
author = {Octavio Arizmendi and Adrian Celestino},
journal= {arXiv preprint arXiv:2111.02179},
year = {2022}
}