Asymptotic constants for minimal distance in the central limit theorem
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1. | Title | Title of document | Asymptotic constants for minimal distance in the central limit theorem |
2. | Creator | Author's name, affiliation, country | Emmanuel Rio; Université de Versaiiles Saint Quentin |
3. | Subject | Discipline(s) | |
3. | Subject | Keyword(s) | Minimal metric, Wasserstein distance, Cornish-Fisher expansion of first order, Esseen's mean central limit theorem, Global central limit theorem |
3. | Subject | Subject classification | 60F05 |
4. | Description | Abstract | In this paper, we generalize the asymptotic result of Esseen (1958) concerning the Wasserstein distance of order one in the mean central limit theorem to the Wasserstein distances of order $r$ for $r \in ]1,2]$. |
5. | Publisher | Organizing agency, location | |
6. | Contributor | Sponsor(s) | |
7. | Date | (YYYY-MM-DD) | 2011-12-22 |
8. | Type | Status & genre | Peer-reviewed Article |
8. | Type | Type | |
9. | Format | File format | |
10. | Identifier | Uniform Resource Identifier | http://ecp.ejpecp.org/article/view/1609 |
10. | Identifier | Digital Object Identifier | 10.1214/ECP.v16-1609 |
11. | Source | Journal/conference title; vol., no. (year) | Electronic Communications in Probability; Vol 16 |
12. | Language | English=en | |
14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
15. | Rights | Copyright and permissions | The Electronic Journal of Probability applies the Creative Commons Attribution License (CCAL) to all articles we publish in this journal. Under the CCAL, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles published in EJP, so long as the original authors and source are credited. This broad license was developed to facilitate open access to, and free use of, original works of all types. Applying this standard license to your work will ensure your right to make your work freely and openly available. Summary of the Creative Commons Attribution License You are free
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