Monotone Cumulant-Moment Formula and Schr\"oder Trees

SIGMA 18 (2022), 073, 22 pages 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.

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Arizmendi, Octavio, Celestino, Adrian
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title
container_volume
creator Arizmendi, Octavio
Celestino, Adrian
description SIGMA 18 (2022), 073, 22 pages 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.
doi_str_mv 10.48550/arxiv.2111.02179
format Article
fullrecord <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2111_02179</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2111_02179</sourcerecordid><originalsourceid>FETCH-arxiv_primary_2111_021793</originalsourceid><addsrcrecordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjQ01DMwMjS35GQw9c3Pyy_Jz0tVcC7NLc1JzCvR9c3PTc0rUXDLLwIJKCTmpSgEJ2cUxSjlp6QWKYQUpaYW8zCwpiXmFKfyQmluBnk31xBnD12wBfEFRZm5iUWV8SCL4sEWGRNWAQBMCTJK</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Monotone Cumulant-Moment Formula and Schr\"oder Trees</title><source>arXiv.org</source><creator>Arizmendi, Octavio ; Celestino, Adrian</creator><creatorcontrib>Arizmendi, Octavio ; Celestino, Adrian</creatorcontrib><description>SIGMA 18 (2022), 073, 22 pages 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.</description><identifier>DOI: 10.48550/arxiv.2111.02179</identifier><language>eng</language><subject>Mathematics - Combinatorics ; Mathematics - Operator Algebras ; Mathematics - Probability</subject><creationdate>2021-11</creationdate><rights>http://creativecommons.org/licenses/by-sa/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2111.02179$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.3842/SIGMA.2022.073$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.2111.02179$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Arizmendi, Octavio</creatorcontrib><creatorcontrib>Celestino, Adrian</creatorcontrib><title>Monotone Cumulant-Moment Formula and Schr\"oder Trees</title><description>SIGMA 18 (2022), 073, 22 pages 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.</description><subject>Mathematics - Combinatorics</subject><subject>Mathematics - Operator Algebras</subject><subject>Mathematics - Probability</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjQ01DMwMjS35GQw9c3Pyy_Jz0tVcC7NLc1JzCvR9c3PTc0rUXDLLwIJKCTmpSgEJ2cUxSjlp6QWKYQUpaYW8zCwpiXmFKfyQmluBnk31xBnD12wBfEFRZm5iUWV8SCL4sEWGRNWAQBMCTJK</recordid><startdate>20211103</startdate><enddate>20211103</enddate><creator>Arizmendi, Octavio</creator><creator>Celestino, Adrian</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20211103</creationdate><title>Monotone Cumulant-Moment Formula and Schr\"oder Trees</title><author>Arizmendi, Octavio ; Celestino, Adrian</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2111_021793</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Mathematics - Combinatorics</topic><topic>Mathematics - Operator Algebras</topic><topic>Mathematics - Probability</topic><toplevel>online_resources</toplevel><creatorcontrib>Arizmendi, Octavio</creatorcontrib><creatorcontrib>Celestino, Adrian</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Arizmendi, Octavio</au><au>Celestino, Adrian</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Monotone Cumulant-Moment Formula and Schr\"oder Trees</atitle><date>2021-11-03</date><risdate>2021</risdate><abstract>SIGMA 18 (2022), 073, 22 pages 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.</abstract><doi>10.48550/arxiv.2111.02179</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext_linktorsrc
identifier DOI: 10.48550/arxiv.2111.02179
ispartof
issn
language eng
recordid cdi_arxiv_primary_2111_02179
source arXiv.org
subjects Mathematics - Combinatorics
Mathematics - Operator Algebras
Mathematics - Probability
title Monotone Cumulant-Moment Formula and Schr\"oder Trees
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-02T05%3A21%3A07IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Monotone%20Cumulant-Moment%20Formula%20and%20Schr%5C%22oder%20Trees&rft.au=Arizmendi,%20Octavio&rft.date=2021-11-03&rft_id=info:doi/10.48550/arxiv.2111.02179&rft_dat=%3Carxiv_GOX%3E2111_02179%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true