Coherent random permutations with record statistics

Details Coherent random permutations with record statistics Coherent random permutations with record statistics

2006-11-17

arxiv.org/abs/math/0611538v1

Mathematics

Probability

17 pages

Scientific paper

Random permutations with distribution conditionally uniform given the set of record values can be generated in a unified way, coherently for all values of $n$. Our central example is a two-parameter family of random permutations that are conditionally uniform given the counts of upper and lower records. This family interpolates between two versions of Ewens' distribution. We discuss characterisations of the conditionally uniform permutations, their asymptotic properties, constructions and relations to random partitions.

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