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On unfair permutations

dc.contributor.authorArslan, İlkeren_US
dc.contributor.authorPehlivan, Cihanen_US
dc.contributor.authorIşlak, Ümiten_US
dc.date.accessioned2018-12-10T04:20:26Z
dc.date.available2018-12-10T04:20:26Z
dc.date.issued2018-10
dc.identifier.citationArslan, İ., Işlak, Ü., Pehlivan, C. (2018). On unfair permutations. Statistics and Probability Letters, 141, 31-40. doi:10.1016/j.spl.2018.05.011en_US
dc.identifier.issn0167-7152
dc.identifier.issn1879-2103
dc.identifier.urihttps://hdl.handle.net/11729/1403
dc.identifier.urihttp://dx.doi.org/10.1016/j.spl.2018.05.011
dc.description.abstractIn 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.en_US
dc.language.isoengen_US
dc.publisherElsevier Science BVen_US
dc.relation.isversionof10.1016/j.spl.2018.05.011
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectRandom permutationsen_US
dc.subjectUniform permutationsen_US
dc.subjectDescentsen_US
dc.subjectInversionsen_US
dc.subjectStein's methoden_US
dc.subjectSize biased couplingen_US
dc.subjectCentral limit theoremen_US
dc.subjectIndependent randomen_US
dc.titleOn unfair permutationsen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalStatistics and Probability Lettersen_US
dc.contributor.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.contributor.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.identifier.volume141
dc.identifier.startpage31
dc.identifier.endpage40
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.contributor.institutionauthorArslan, İlkeren_US
dc.relation.indexWOSen_US
dc.relation.indexScopusen_US
dc.relation.indexScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.description.qualityQ4
dc.description.wosidWOS:000440961600004


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