Average Values of some Z-Parameters in a Random Set Partition

  • Anisse Kasraoui

Abstract

We find exact and asymptotic formulas for the average values of several statistics on set partitions: of Carlitz's $q$-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.

Published
2011-12-05
Article Number
P228