On Unfair Permutations
| dc.authorid | Islak, Umit/0000-0003-4281-5171 | |
| dc.authorscopusid | 57191835158 | |
| dc.authorscopusid | 55976662000 | |
| dc.authorscopusid | 57142391700 | |
| dc.authorwosid | Islak, Umit/ABC-1979-2020 | |
| dc.contributor.author | Arslan, Ilker | |
| dc.contributor.author | Islak, Umit | |
| dc.contributor.author | Pehlivan, Cihan | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T15:27:27Z | |
| dc.date.available | 2024-07-05T15:27:27Z | |
| dc.date.issued | 2018 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | [Arslan, Ilker] Isik Univ, Istanbul, Turkey; [Islak, Umit] Bogazici Univ, Istanbul, Turkey; [Pehlivan, Cihan] Atilim Univ, Istanbul, Turkey | en_US |
| dc.description | Islak, Umit/0000-0003-4281-5171 | en_US |
| dc.description.abstract | In this paper we study the inverse of so-called unfair permutations. Our investigation begins with comparing this class of permutations with uniformly random permutations, and showing that they behave very much alike in case of locally dependent random variables. As an example of a globally dependent statistic we use the number of inversions, and show that this statistic satisfies a central limit theorem after proper centering and scaling. (C) 2018 Elsevier B.V. All rights reserved. | en_US |
| dc.description.sponsorship | TUBITAK [113F059]; Scientific and Research Council of Turkey [TUBITAK-117C047] | en_US |
| dc.description.sponsorship | The author C. P. has been supported by TUBITAK within the project 113F059 entitled "The conjecture of Mazur-Tate-Teitelbaum, CM elliptic curves and applications" as a postdoctoral researcher at Koc University. The author U.I. is supported by the Scientific and Research Council of Turkey [TUBITAK-117C047]. Parts of this paper were completed at the Nesin Mathematics Village, the authors would like to thank Nesin Mathematics Village for their kind hospitality. Also, the authors would like to thank an anonymous referee who detected some errors in original manuscript, and whose comments improved the paper significantly. | en_US |
| dc.identifier.citationcount | 0 | |
| dc.identifier.doi | 10.1016/j.spl.2018.05.011 | |
| dc.identifier.endpage | 40 | en_US |
| dc.identifier.issn | 0167-7152 | |
| dc.identifier.issn | 1879-2103 | |
| dc.identifier.scopus | 2-s2.0-85048201848 | |
| dc.identifier.startpage | 31 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.spl.2018.05.011 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/2664 | |
| dc.identifier.volume | 141 | en_US |
| dc.identifier.wos | WOS:000440961600004 | |
| dc.identifier.wosquality | Q4 | |
| dc.institutionauthor | Pehlivan, Cihan | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science Bv | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 1 | |
| dc.subject | Random permutations | en_US |
| dc.subject | Uniform permutations | en_US |
| dc.subject | Descents | en_US |
| dc.subject | Inversions | en_US |
| dc.subject | Stein's method | en_US |
| dc.subject | Size biased coupling | en_US |
| dc.title | On Unfair Permutations | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 1 | |
| dspace.entity.type | Publication | |
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