On unfair permutations

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Arslan İ., IŞLAK Ü., Pehlivan C.

Statistics and Probability Letters, cilt.141, ss.31-40, 2018 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 141
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.spl.2018.05.011
  • Dergi Adı: Statistics and Probability Letters
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.31-40
  • Anahtar Kelimeler: Descents, Inversions, Random permutations, Size biased coupling, Stein's method, Uniform permutations
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Boğaziçi Üniversitesi Adresli: Evet

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.