On convergence and extensions of size-biased permutations

On convergence and extensions of size-biased permutations
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关于大小偏向排列的收敛和扩展

DOI:
10.1239/jap/1032265212
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发表时间:
1998
影响因子:
1
通讯作者:
A. Gnedin
A. Gnedin
中科院分区:
数学4区
文献类型:
--
作者:
A. Gnedin

文献摘要

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大小偏置排列(SBP)是一种不同类别的频率的随机排列,按照类别在抽样过程中第一次出现的顺序排列。研究了SBP在分布上收敛的条件,并讨论了正频率和小于1的情况下SBP的扩展形式。
Size-biased permutation (SBP) is a random arrangement of frequencies of distinct categories in the order in which the categories appear for the first time in the sampling process. We study the conditions under which the SBPs converge in distribution and discuss extended versions of SBP for the case when the sum of positive frequencies is less than 1.