On the rate of convergence of the distribution of the number of cycles of given length in a random permutation with known number of cycles to the limit distributions

被引：0

作者：

Cherepanova, E. V.

机构：

来源：

DISCRETE MATHEMATICS AND APPLICATIONS | 2006年 / 16卷 / 04期

关键词：

D O I：

10.1163/156939206778609741

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let on the set S-n,S-N of all different permutations of degree n with N cycles the uniform distribution be given. We obtain estimates of the rate of convergence of the distribution of the number of cycles of given length in a random permutation of S-n,S-N to the limit distributions as n, N -> infinity in such a way that either n/N -> 1 or n/N -> infinity.

引用

页码：385 / 400

页数：16

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