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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/27862
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dc.contributor.authorDolgopyat, D-
dc.contributor.authorFernando, K-
dc.date.accessioned2023-12-15T16:12:18Z-
dc.date.available2023-05-04-
dc.date.available2023-12-15T16:12:18Z-
dc.date.issued2023-05-04-
dc.identifierORCID iD: Kasun Fernando https://orcid.org/0000-0003-1489-9566-
dc.identifier.citationDolgopyat, D. and Fernando, K. (2023) 'An Error Term in the Central Limit Theorem for Sums of Discrete Random Variables', International Mathematics Research Notices, 2023 (21), pp. 18664 - 18713. doi: 10.1093/imrn/rnad088.en_US
dc.identifier.issn1073-7928-
dc.identifier.urihttps://bura.brunel.ac.uk/handle/2438/27862-
dc.descriptionThe file accessible on this institutional repository is the preprint, arXiv:2303.10235v1 [math.PR] (for this version) available under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License (https://creativecommons.org/licenses/by-nc-sa/4.0/) at: https://doi.org/10.48550/arXiv.2303.10235 -- it has not been certified by peer review. The embargoed file is the authors accepted manuscript available online from the author's website at: https://www.math.umd.edu/~dolgop/papers.html . The final, peer reviewed version of record is available online at: https://doi.org/10.1093/imrn/rnad088 .-
dc.description.abstractCopyright © The Author(s) 2023. We consider sums of independent identically distributed random variables whose distributions have d + 1 atoms. Such distributions never admit an Edgeworth expansion of order d but we show that for almost all parameters the Edgeworth expansion of order d − 1 is valid and the error of the order d − 1 Edgeworth expansion is typically of order n^{-d/2}.en_US
dc.description.sponsorshipDD was partially supported by the NSF.en_US
dc.format.extent18664 - 18713-
dc.format.mediumPrint-Electronic-
dc.languageEnglish-
dc.language.isoen_USen_US
dc.publisherOxford University Pressen_US
dc.relation.urihttps://arxiv.org/abs/2303.10235-
dc.rightsCopyright © The Author(s) 2023. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permission@oup.com. This article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/journals/pages/open_access/funder_policies/chorus/standard_publication_model)-
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/4.0/-
dc.titleAn Error Term in the Central Limit Theorem for Sums of Discrete Random Variablesen_US
dc.typeArticleen_US
dc.identifier.doihttps://doi.org/10.1093/imrn/rnad088-
dc.relation.isPartOfInternational Mathematics Research Notices-
pubs.issue21-
pubs.publication-statusPublished-
pubs.volume2023-
dc.identifier.eissn1687-0247-
dc.rights.holderThe Author(s)-
Appears in Collections:Dept of Mathematics Research Papers

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