Monotone Cumulant-Moment Formula and Schröder Trees

Arizmendi, Octavio; Celestino Rodriguez, Adrian de Jesus
Peer reviewed, Journal article
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URI
https://hdl.handle.net/11250/3047911
Date
2022
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Original version
SIGMA. Symmetry, Integrability and Geometry. 2022, 18 .   10.3842/sigma.2022.073
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 Schröder trees.
Publisher
Foundation Compositio Mathematica
Journal
SIGMA. Symmetry, Integrability and Geometry