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http://bura.brunel.ac.uk/handle/2438/27862| Title: | An Error Term in the Central Limit Theorem for Sums of Discrete Random Variables |
| Authors: | Dolgopyat, D Fernando, K |
| Issue Date: | 4-May-2023 |
| Publisher: | Oxford University Press |
| Citation: | Dolgopyat, 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. |
| Abstract: | Copyright © 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}. |
| Description: | The 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License (https://creativecommons.org/licenses/by-nc-sa/4.0/) at: https://doi.org/10.48550/arXiv.2303.10235 -- it has not been certified by peer review.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 . |
| URI: | https://bura.brunel.ac.uk/handle/2438/27862 |
| DOI: | https://doi.org/10.1093/imrn/rnad088 |
| ISSN: | 1073-7928 |
| Other Identifiers: | ORCID iD: Kasun Fernando https://orcid.org/0000-0003-1489-9566 |
| Appears in Collections: | Dept of Mathematics Research Papers |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Preprint.pdf | The 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License (https://creativecommons.org/licenses/by-nc-sa/4.0/) at: https://doi.org/10.48550/arXiv.2303.10235 -- it has not been certified by peer review. | 667.73 kB | Adobe PDF | View/Open |
| FullText.pdf | Embargoed until 4 May 2024 | 579.11 kB | Adobe PDF | View/Open |
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