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arXiv · 2111.02179

Monotone Cumulant-Moment Formula and Schr\"oder Trees

Octavio Arizmendi·Adrian Celestino
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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.

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Octavio Arizmendi, Adrian Celestino. 2021-11-03. Monotone Cumulant-Moment Formula and Schr\"oder Trees. https://doi.org/10.3842/sigma.2022.073

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