On unfair permutations

Publication date: October 2018Source: Statistics & Probability Letters, Volume 141Author(s): İlker Arslan, Ümit Işlak, Cihan PehlivanAbstractIn 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.

Source: Statistics and Probability Letters - July 10, 2018 Category: Statistics Source Type: research