English

Average values of some Z-parameters in a random set partition

Combinatorics 2013-04-18 v1

Abstract

We find exact and asymptotic formulas for the average values of several statistics on set partitions: of Carlitz's qq-Stirling distributions, of the numbers of crossings in linear and circular representations of set partitions, of the numbers of overlappings and embracings, and of the numbers of occurrences of a 2-pattern.

Keywords

Cite

@article{arxiv.1304.4813,
  title  = {Average values of some Z-parameters in a random set partition},
  author = {Anisse Kasraoui},
  journal= {arXiv preprint arXiv:1304.4813},
  year   = {2013}
}
R2 v1 2026-06-22T00:01:37.689Z