
We study unfair permutations, which are generated by letting [Formula: see text] players draw numbers and assuming that player [Formula: see text] draws [Formula: see text] times from the unit interval and records her largest value. This model is natural in the context of partitions: the score of the [Formula: see text]th player corresponds to the multiplicity of the summand [Formula: see text] in a random partition, with the roles of minimum and maximum interchanged. We study the distribution of several parameters, namely the position of player [Formula: see text], the number of inversions, and the number of ascents. To perform some of the heavy computations, we use the computer algebra package Sigma.
020, Permutations, words, matrices, probability distribution, permutation, partition, Article, 004, Theoretical Computer Science, Computational Theory and Mathematics, inversions, Geometry and Topology, ascents
020, Permutations, words, matrices, probability distribution, permutation, partition, Article, 004, Theoretical Computer Science, Computational Theory and Mathematics, inversions, Geometry and Topology, ascents
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