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Central limit theorem for random partitions under the Plancherel measure

✍ Scribed by L. V. Bogachev; Z. G. Su


Book ID
111454363
Publisher
SP MAIK Nauka/Interperiodica
Year
2007
Tongue
English
Weight
227 KB
Volume
75
Category
Article
ISSN
1064-5624

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Let f (z) be the generating function of the sequence [ p(n)] of unrestricted partitions of n, and let X t be an integral random variable taking the value n with probability ( f (t)) &1 p(n) t n . It is shown here that, as t Γ„ 1, the normalized X t are asymptotically Gaussian. The mode of convergence