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

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.

References in corpus (1)

• On the limiting distribution of some numbers of crossings in set partitions