On unfair permutations

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Tarih

2018-10

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Elsevier Science BV

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

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.

Açıklama

Anahtar Kelimeler

Random permutations, Uniform permutations, Descents, Inversions, Stein's method, Size biased coupling, Central limit theorem, Independent random

Kaynak

Statistics and Probability Letters

WoS Q Değeri

Q4

Scopus Q Değeri

Q3

Cilt

141

Sayı

Künye

Arslan, İ., Işlak, Ü., Pehlivan, C. (2018). On unfair permutations. Statistics and Probability Letters, 141, 31-40. doi:10.1016/j.spl.2018.05.011