Random Records and Cuttings in Binary Search Trees

被引：22

作者：

Holmgren, Cecilia ^{[1
]}

机构：

[1] Uppsala Univ, Inst Matemat, S-75106 Uppsala, Sweden

来源：

COMBINATORICS PROBABILITY & COMPUTING | 2010年 / 19卷 / 03期

关键词：

D O I：

10.1017/S096354830999068X

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We study the number of random records in a binary search tree with n vertices (or equivalently, the number of cuttings required to eliminate the tree). We show that a classical limit theorem for convergence of sums of triangular arrays to infinitely divisible distributions can be used to determine the distribution of this number. The asymptotic distribution of the (normalized) number of records or cuts is found to be weakly 1-stable.

引用

页码：391 / 424

页数：34

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