Average values of some Z-parameters in a random set partition
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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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.
DOI : 10.37236/715
Classification : 05A18, 05A15, 05A16
Mots-clés : Carlitz's \(q\)-Stirling distributions
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     author = {Anisse Kasraoui},
     title = {Average values of some {Z-parameters} in a random set partition},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/715},
     zbl = {1243.05033},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/715/}
}
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Anisse Kasraoui. Average values of some Z-parameters in a random set partition. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/715

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