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{\bf Anisse Kasraoui}
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{\bf Average Values of some Z-Parameters in a Random Set Partition}
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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.   

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