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Monotone Cumulant-Moment Formula and Schr\"oder Trees - MaRDI portal

Monotone Cumulant-Moment Formula and Schr\"oder Trees

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Publication:6382060

DOI10.3842/SIGMA.2022.073arXiv2111.02179MaRDI QIDQ6382060

Adrian Celestino, Octavio Arizmendi

Publication date: 3 November 2021

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.





Mathematics Subject Classification ID

Trees (05C05) Noncommutative probability and statistics (46L53) Nonassociative algebras satisfying other identities (17A30) Hopf algebras and their applications (16T05)








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