Monotone Cumulant-Moment Formula and Schröder Trees

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.

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2022
Main Authors: Arizmendi, Octavio, Celestino, Adrian
Format: Article
Language:English
Published: Інститут математики НАН України 2022
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211715
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Monotone Cumulant-Moment Formula and Schröder Trees. Octavio Arizmendi and Adrian Celestino. SIGMA 18 (2022), 073, 22 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine