On unfair permutations
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Dosyalar
Tarih
2018-10
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science BV
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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