Central Limit Theorems for Some Set Partition Statistics
نویسندگان
چکیده
We prove the conjectured limiting normality for the number of crossings of a uniformly chosen set partition of [n] = {1, 2, . . . , n}. The arguments use a novel stochastic representation and are also used to prove central limit theorems for the dimension index and the number of levels.
منابع مشابه
F eb 2 01 5 CENTRAL LIMIT THEOREMS FOR SOME SET PARTITION STATISTICS
We prove the conjectured limiting normality for the number of crossings of a uniformly chosen set partition of [n] = {1, 2, . . . , n}. The arguments use a novel stochastic representation and are also used to prove central limit theorems for the dimension index and the number of levels.
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تاریخ انتشار 2014